getdpthi.m
author A.M. Thurnherr <athurnherr@yahoo.com>
Sat, 10 Apr 2021 08:03:07 -0400
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version on whoosher Apr 10. 2021
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%======================================================================
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%                    G E T D P T H I . M 
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%                    doc: Wed Jan  7 16:25:26 2009
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%                    dlm: Fri Aug 30 12:40:38 2019
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%                    (c) 2009 A.M. Thurnherr
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%                    uE-Info: 12 0 NIL 0 0 72 0 2 4 NIL ofnI
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%======================================================================
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% CHANGES BY ANT:
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%   Jan  7, 2009: - tightened use of exist()
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%	Aug 30, 2019: - BUG: missing pressure values cause problem in output
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function [d,p]=getdpthi(d,p)
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% function [d,p]=getdpthi(d,p)
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% LADCP-2 processing software v 7.0
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%
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%  -- make depth from raw data 
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%  use inverse approach
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% Matin Visbeck 
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%  December 2002, LDEO
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disp('GETDPTHI: Depth from vertical velocity inverse method')
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% set default start, deepst  and end depth
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p=setdefv(p,'zpar',[10 NaN 10]);
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p=setdefv(p,'cut',15);
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p=setdefv(p,'dzbelow',[2 -1]*medianan(abs(diff(d.zd))));
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p=setdefv(p,'guessbottom',NaN);
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p=setdefv(p,'zbottom',NaN);
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p=setdefv(p,'ctddepth',0);
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p=setdefv(p,'navtime_av',2/60/24);
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p.zpar=abs(p.zpar);
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% remove empty profiles at beginning and end
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ii=ones(size(d.rw(1,:)));
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jj=find(~isnan(meannan(d.rw)));
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ii(1:jj(1))=0;
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ii(jj(end):end)=0;
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d=cutstruct(d,ii);
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% get time difference for w-values
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dt=diff(d.time_jul)*24*3600;
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dt=mean([dt([1,1:end]);dt([1:end,end])]);
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% initialize a matrix where below bottom and above surface data
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% get flagged as bad
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d.izmflag = d.rw*0;
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figure(4)
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orient tall
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% two sweeps throught the data
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n2=2;
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% only one sweep if ctd pressure data exist
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if p.ctddepth>0, n2=1; end
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for n=1:n2
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  disp([' starting run ',int2str(n),' to get LADCP depth'])
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  if n==1 
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%  if n==1 | (~exist('ddoz') & ~exist('ddoz'))
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%  first sweep used intergal of median w 
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   ibad=find(p.wizr<1 | p.wizr>size(d.rw,1));
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   p.wizr(ibad)=[];
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   if length(p.wizr)>1
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    dw=medianan(d.rw(p.wizr,:),1);
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   elseif length(p.wizr)==1
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    dw=d.rw(p.wizr,:);
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   else
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    dw=medianan(d.rw,1);
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   end
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%  set non finite w to zero
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   ii=find(~isfinite(dw));
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   dw(ii)=0;
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%  integrate result
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   zz=cumsum(dw.*dt);
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%  make sure that start and end depth are as wanted
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   zz=zz-linspace(-maxnan([0 p.zpar(1)]),-maxnan([0 p.zpar(3)])+zz(end),length(zz));
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%  set maxdepth to be as requested
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   if isfinite(p.zpar(2))
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    zz=zz/max(zz)*p.zpar(2);
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   end
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  else
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%  second sweep used inverse method to get z including bottom and
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%  surface track data
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%  "erase" subplots
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  subplot(321), hold off
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  subplot(322), hold off
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  subplot(312), hold off
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% set base matrix
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   dw=d.rw(p.wizr,:)+d.izmflag(p.wizr,:);
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   [d1,A1,ibot]=dinset(dw,dt);
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   % set boundary conditions for inversion
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   if isfinite(p.zpar(1))
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     d1=[d1;p.zpar(1)];
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   else 
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     d1=[d1;10];
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   end
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   A1(length(d1),1)=1;
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   if isfinite(p.zpar(2))
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     d1=[d1;p.zpar(2)*10];
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     A1(length(d1),ibot)=10;
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   end
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   if isfinite(p.zpar(3))
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     d1=[d1;p.zpar(3)];
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   else
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     d1=[d1;10];
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   end
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   A1(length(d1),end)=1;
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   % add surface/bottom reflections if present
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diff changeset
   119
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   120
   if exist('ddoz','var')
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   121
    [ld,lz]=size(A1);
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   122
    d1=[d1;ddoz*0.1];
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   123
    A2=sparse(1:length(ddoi),ddoi,0.1);
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   124
    A2(1,lz)=0;
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   125
    A1=[A1;A2];
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diff changeset
   126
   end
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parents:
diff changeset
   127
 
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   128
   if exist('dupz','var')
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   129
    [ld,lz]=size(A1);
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   130
    d1=[d1;dupz*0.1];
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   131
    A2=sparse(1:length(dupi),dupi,0.1);
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   132
    A2(1,lz)=0;
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   133
    A1=[A1;A2];
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diff changeset
   134
   end
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diff changeset
   135
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   136
   if exist('dbotdz','var') 
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   137
    bfac=0.1;
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diff changeset
   138
    [ld,lz]=size(A1);
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diff changeset
   139
    d1=[d1;dbotdz*bfac];
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diff changeset
   140
    ix=[1:length(dboti)]';
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diff changeset
   141
    A2=sparse([ix;ix],[dboti;ix*0+ibot],[ix*0-bfac;ix*0+bfac]);
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   142
    A2(1,lz)=0;
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diff changeset
   143
    A1=[A1;A2];
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diff changeset
   144
   end
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parents:
diff changeset
   145
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   146
% require z to be smooth (needed otherwise ill constrained)
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diff changeset
   147
   [A1,d1]=dismoo(A1,d1,0.01);
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parents:
diff changeset
   148
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   149
% solve for best depth time series
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diff changeset
   150
   zz=lesqchol(d1,A1)';
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diff changeset
   151
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   152
  end
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diff changeset
   153
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   154
  % set depth below which to delete all data 
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diff changeset
   155
  dzbelow=p.dzbelow(n);
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parents:
diff changeset
   156
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   157
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diff changeset
   158
  if n==1
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   159
  % get sound speed time series
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   160
   if ~existf(d,'ss')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   161
    if existf(d,'ctd_ss')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   162
      disp(' take soundspeed from CTD time series')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   163
      d.ss=d.ctd_ss;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   164
    elseif existf(d,'ctdprof_ss')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   165
     disp(' take soundspeed from CTD profile ')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   166
     zctd=d.ctdprof_z;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   167
     zctd(1)=-1e5;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   168
     zctd(end)=1e5;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   169
     d.ss=interp1q(zctd,d.ctdprof_ss,zz')';
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   170
    else
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   171
      if existf(d,'ctd_temp')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   172
        disp(' make soundspeed based on CTD pressure and temp')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   173
        pp=press(abs(d.z));
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   174
        d.ss=sounds(pp,d.ctd_temp,34.5);
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   175
      else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   176
        disp(' make soundspeed based on pressure and ADCP temp')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   177
        pp=press(abs(zz));
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parents:
diff changeset
   178
        d.ss=sounds(pp,d.temp(1,:),34.5);
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parents:
diff changeset
   179
      end
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diff changeset
   180
    end
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diff changeset
   181
   end
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   182
   % sound speed correction
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   183
   if d.soundc==0
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A.M. Thurnherr <ant@ldeo.columbia.edu>
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diff changeset
   184
    disp(' correct velocities for sound speed ')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   185
    sc=meshgrid(d.ss./d.sv(1,:),d.izd);
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   186
    d.ru(d.izd,:)=d.ru(d.izd,:).*sc;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   187
    d.rv(d.izd,:)=d.rv(d.izd,:).*sc;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   188
    d.rw(d.izd,:)=d.rw(d.izd,:).*sc;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   189
    if existf(d,'hbot')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   190
     d.hbot=d.hbot.*sc(1,:);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   191
     d.bvel(:,1:3)=d.bvel(:,1:3).*sc(1:3,:)';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   192
     if existf(d,'bvel_rdi')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   193
      d.bvel_rdi(:,1:3)=d.bvel_rdi(:,1:3).*sc(1:3,:)';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   194
     end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   195
     if existf(d,'bvel_own')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   196
      d.bvel_own(:,1:3)=d.bvel_own(:,1:3).*sc(1:3,:)';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   197
     end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   198
    end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   199
    if length(d.zd)~=length(d.ru(:,1))
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   200
     sc=meshgrid(d.ss./d.sv(2,:),d.izu);
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   201
     d.ru(d.izu,:)=d.ru(d.izu,:).*sc;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   202
     d.rv(d.izu,:)=d.rv(d.izu,:).*sc;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   203
     d.rw(d.izu,:)=d.rw(d.izu,:).*sc;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   204
    end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   205
    if existf(d,'hsurf')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   206
     d.hsurf=d.hsurf.*sc(1,:);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   207
    end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   208
    d.soundc=1;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   209
   else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   210
    disp(' will not correct for sound speed twice')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   211
   end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   212
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   213
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   214
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   215
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   216
  if p.ctddepth==0
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   217
   % save results only if CTD-depth was not available
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   218
   d.z=-zz;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   219
   p.ladcpdepth=2;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   220
   disp(' use LADCP depth from constrained integrated W ')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   221
  else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   222
   d.z_ladcp=-zz;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   223
   dz=d.z_ladcp-d.z;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   224
   ii=find(isfinite(dz));
22
624b1ed6e9c9 version on whoosher Apr 10. 2021
A.M. Thurnherr <athurnherr@yahoo.com>
parents: 0
diff changeset
   225
   p.ladcpr_CTD_depth_std=[mean(dz(ii)), std(dz(ii))];
0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   226
   disp(' use CTD time series depth, will not do depth inversion ')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   227
   disp([' LADCP minus CTD depth mean: ',num2str(p.ladcpr_CTD_depth_std(1)),...
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   228
          '  std: ',num2str(p.ladcpr_CTD_depth_std(2))]);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   229
   p.ladcpdepth=0;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   230
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   231
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   232
  [p.maxdepth,ibottom]=max(-d.z);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   233
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   234
  % plot near surface LADCP data 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   235
  [dum,ibot]=max(-d.z);
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   236
  % for very shallow stations turn of surface detection
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   237
  if dum<100, p.surfdist=0; disp(' shallow station no surface detection '),end
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   238
  % first down cats
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   239
  ii=1:ibot;
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   240
  iok=ii(find(d.z(ii)>-200 & d.z(ii)<-30 ));
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   241
  if length(iok)>2
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   242
   iok2=1:iok(end);
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   243
   subplot(321)
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   244
   plot(iok2,d.z(iok2),'.r',iok2,iok2*0,'-k'),
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   245
   hold on
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   246
   title('start depth (.red) (.blue) Surface distance')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   247
   xlabel('time in ensembles')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   248
   ylabel('depth in meter')
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   249
   axis tight
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   250
   ax=axis;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   251
   ax(4)=max(ax(4),20);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   252
   axis(ax);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   253
  else
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A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   254
   disp('no surface reflections down-cast')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   255
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   256
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   257
  % then up cast
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   258
  ii=ibot:length(d.z);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   259
  iok=ii(find(d.z(ii)>-200 & d.z(ii)<-30 ));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   260
  if length(iok)>2
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   261
   iok2=iok(1):length(d.z);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   262
   subplot(322)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   263
   plot(iok2,d.z(iok2),'.r',iok2,iok2*0,'-k'),
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   264
   hold on
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   265
   title('end depth')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   266
   xlabel('time in ensembles')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   267
   ylabel('depth in meter')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   268
   axis tight
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   269
   ax=axis;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   270
   ax(4)=max(ax(4),20);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   271
   axis(ax);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   272
  else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   273
   disp('no surface reflections up-cast')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   274
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   275
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   276
  % extract surface distance to find start depth
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   277
  if existf(d,'hsurf') & p.surfdist
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   278
   if sum(isfinite(d.hsurf))>10
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   279
    [zmax,ibot]=max(-d.z);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   280
   % start depth
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   281
    ii=find(isfinite(d.hsurf(1:ibot)));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   282
   % limit to surface detections within 30m of answer
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   283
    iok=ii(find(d.z(ii)>-200 & d.z(ii)<-40 & abs(d.hsurf(ii)+d.z(ii))<30));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   284
    if ~isempty(iok)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   285
     ddoz=d.hsurf(iok)';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   286
     ddoi=iok';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   287
    % temporary plot of surface detection
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   288
      iok2=1:iok(end);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   289
      subplot(321)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   290
      plot(iok,d.hsurf(iok)+d.z(iok),'.',iok2,d.z(iok2),'.r'),
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   291
      ax=axis;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   292
      ax(4)=max(ax(4),20);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   293
      axis(ax);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   294
      axis tight
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   295
    else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   296
     disp(' no surface reflections down-cast')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   297
    end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   298
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   299
   % surface distance to find end depth
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   300
    ii=find(isfinite(d.hsurf(ibot:end)))+ibot-1;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   301
   % limit to surface detections within 30m of answer
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   302
    iok=ii(find(d.z(ii)>-200 & d.z(ii)<-40 & abs(d.hsurf(ii)+d.z(ii))<30));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   303
    if ~isempty(iok)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   304
     dupz=d.hsurf(iok)';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   305
     dupi=iok';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   306
    % temporary plot of surface detection
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   307
      iok2=iok(1):length(d.z);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   308
      subplot(322)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   309
      plot(iok,d.hsurf(iok)+d.z(iok),'.',iok2,d.z(iok2),'.r'),
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   310
      ax=axis;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   311
      ax(4)=max(ax(4),20);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   312
      axis(ax);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   313
      axis tight
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   314
    else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   315
     disp(' no surface reflections up-cast')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   316
    end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   317
   end 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   318
  end 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   319
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   320
  disp([' maximum depth from int W is :',int2str(max(zz))])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   321
  disp([' should be                   :',int2str(p.zpar(2))])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   322
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   323
  % bottom depth
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   324
  subplot(312)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   325
  iok=find((max(-d.z)+d.z)<200);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   326
  iok2=iok(1):iok(end);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   327
  plot(iok2,d.z(iok2),'.r'),
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   328
  if ~isfinite(p.zbottom)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   329
   if sum(isfinite(d.hbot))>10
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   330
    % look for bottom only close to deepest CTD depth
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   331
    iok=find((max(-d.z)+d.z)<200 & d.hbot>0 );
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   332
    if length(iok)>2
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   333
      % fit polynom to bottom depth time series
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   334
      if n==n2
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   335
      % use deepest point to set bottom depth
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   336
       if isfinite(p.guessbottom)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   337
	  zbottom=p.guessbottom;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   338
       else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   339
          zbottom= median(d.hbot(iok)-d.z(iok));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   340
       end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   341
       zbottomerr= zbottom-(d.hbot(iok)-d.z(iok)) ;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   342
       [dum,is]=sort(abs(zbottomerr));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   343
       is=is(1:fix(length(is)/2));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   344
       c=polyfit(iok(is),d.hbot(iok(is))-d.z(iok(is)),1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   345
       zbottomerr= polyval(c,iok)-(d.hbot(iok)-d.z(iok)) ;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   346
       [dum,is]=sort(abs(zbottomerr));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   347
       is=is(1:fix(length(is)/2));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   348
       iok=iok(find(abs(zbottomerr)<2*std(zbottomerr(is)) | abs(zbottomerr)<30 ));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   349
       c=polyfit(iok,d.hbot(iok)-d.z(iok),2);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   350
       zbottomerr= polyval(c,iok)-(d.hbot(iok)-d.z(iok)) ;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   351
       zbottom=polyval(c,ibottom);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   352
       p.zbottom=zbottom;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   353
      else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   354
       if isfinite(p.guessbottom)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   355
	  zbottom=p.guessbottom;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   356
       else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   357
          zbottom= median(-d.hbot(iok)-d.z(iok));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   358
       end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   359
       zbottomerr= zbottom-(d.hbot(iok)-d.z(iok)) ;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   360
       [dum,is]=sort(abs(zbottomerr));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   361
       is=is(1:fix(length(is)/2));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   362
       zbottom=medianan(d.hbot(iok(is))-d.z(iok(is)));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   363
       zbottomerr= zbottom-(d.hbot(iok)-d.z(iok)) ;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   364
       [dum,is]=sort(abs(zbottomerr));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   365
       is=is(1:fix(length(is)/2));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   366
       iok=iok(find(abs(zbottomerr)<2*std(zbottomerr(is)) | abs(zbottomerr)<50 ));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   367
       c=polyfit(iok,d.hbot(iok)-d.z(iok),1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   368
       % save bottom distances for inversion
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   369
       dbotdz=(d.hbot(iok)-polyval(c,iok)-d.z(ibottom))';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   370
       dboti=iok';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   371
      end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   372
      p.zbottomerror = medianan(abs(zbottomerr)); 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   373
    % temporary plot of bottom detection
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   374
      iok2=iok(1):iok(end);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   375
      plot(iok,-d.hbot(iok)+d.z(iok),'.',iok2,d.z(iok2),'.r'),
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   376
      hold on
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   377
      plot(iok2,-zz(iok2),'-k')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   378
      hold on, plot(iok2,iok2*0-p.zbottom,'--k') 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   379
      hold on, plot(iok2,-polyval(c,iok2),'-b')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   380
      title('bottom (--k) LADCP depth (-k) bottom distance (.b)')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   381
      xlabel('time in ensembles')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   382
      ylabel('depth in meter')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   383
      if n==n2
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   384
 % remove suspicious bottom track data
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   385
       axis tight
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   386
       ax=axis;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   387
       text(ax(1)+abs(diff(ax(1:2)))*.15,ax(3)+abs(diff(ax(3:4)))*.8,...
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   388
       ['bottom at: ',int2str(p.zbottom),' [m]   ADCP was ',...
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   389
         int2str(p.zbottom-max(-d.z)),' m above bottom'])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   390
       ibad=1:length(d.hbot);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   391
       % good data are
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   392
       ibad(iok)=[];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   393
       d.hbot(ibad)=NaN;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   394
       d.bvel(ibad,:)=NaN;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   395
      else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   396
      end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   397
    else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   398
      zbottom=NaN;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   399
      p.zbottomerror = nan;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   400
    end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   401
   else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   402
    zbottom=NaN;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   403
    p.zbottomerror=NaN;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   404
   end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   405
  else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   406
    disp(['  bottom preset at ',int2str(p.zbottom)])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   407
    zbottom=p.zbottom;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   408
    p.zbottomerror=0;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   409
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   410
   % check if bottom is shallower that maxctd-depth an
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   411
    if ((zbottom-p.maxdepth<-(p.maxdepth*0.01+10) & isfinite(zbottom)) |...
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   412
       	p.zbottomerror > 20 )
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   413
      disp('  no bottom found')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   414
      disp(['   given maximum profile depth : ',int2str(p.maxdepth)])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   415
      disp(['   extracted bottom depth      : ',int2str(zbottom)])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   416
      disp(['        bottom depth error     : ',int2str(p.zbottomerror)])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   417
      p.zbottom=NaN;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   418
    elseif n==n2
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   419
      p.zbottom=zbottom;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   420
      disp(['  bottom found at ',int2str(p.zbottom),' +/- ',...
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   421
                                 int2str(p.zbottomerror),' m'])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   422
      if (p.zbottom<p.maxdepth)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   423
        disp('  extracted bottom within 20m above given maximum profile depth')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   424
      end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   425
    end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   426
  pause(0.1)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   427
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   428
  % assign a depth to each bin
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   429
  [izm1,izm]=meshgrid([fliplr(d.zu),-d.zd],d.z);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   430
  izm1=izm1';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   431
  if d.soundc==1
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   432
  % make sound speed correction for depth vector
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   433
   sc=meshgrid(d.ss./d.sv(1,:),d.izd);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   434
   izm1(d.izd,:)=izm1(d.izd,:).*sc;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   435
   if length(d.zu)>0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   436
    sc=meshgrid(d.ss./d.sv(2,:),d.izu);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   437
    izm1(d.izu,:)=izm1(d.izu,:).*sc;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   438
   end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   439
   disp(' correct bin length for sound speed')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   440
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   441
  % add the two parts
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   442
  d.izm=izm'+izm1;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   443
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   444
  % flag all data below bottom as bad
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   445
  if ~isnan(p.zbottom)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   446
    ii = find(d.izm<-p.zbottom-dzbelow);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   447
    d.izmflag(ii)=NaN; 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   448
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   449
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   450
  % flag all data close to the surface as bad
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   451
  if length(d.zu)>0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   452
   ii = find(d.izm>-(d.zu(2)-d.zu(1))/2);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   453
   d.izmflag(ii)=NaN; 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   454
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   455
  
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   456
end 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   457
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   458
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   459
% set velocities deeper than bottom to NaN
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   460
bad = find( isnan(d.izmflag) & isfinite(d.ru) );
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   461
if ~isempty(bad) & isfinite(p.zbottom)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   462
  disp([' removing ',int2str(length(bad)),...
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   463
	' values below bottom'])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   464
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   465
 %d.ru = d.ru+d.izmflag;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   466
 %d.rv = d.rv+d.izmflag;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   467
 %d.rw = d.rw+d.izmflag;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   468
 d.weight = d.weight + d.izmflag;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   469
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   470
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   471
% compute pressure from depth
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   472
d.p=press(abs(d.z));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   473
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   474
if existf(d,'wctd')==1
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   475
 d.wm=d.wctd;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   476
else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   477
 d.wm=-gradient(d.z)./gradient(d.time_jul*24*3600);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   478
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   479
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   480
if d.z(1)<-50, 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   481
 warn=[' first LADCP depth is ',int2str(d.z(1))];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   482
 disp(warn)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   483
 p.warnp(size(p.warnp,1)+1,1:length(warn))=warn;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   484
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   485
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   486
if d.z(end)<-50, 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   487
 warn=[' last LADCP depth is ',int2str(d.z(end))];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   488
 disp(warn)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   489
 p.warnp(size(p.warnp,1)+1,1:length(warn))=warn;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   490
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   491
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   492
% cut raw data to only include profile
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   493
i1=find(d.z(1:ibottom)>-p.cut);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   494
i2=find(d.z(ibottom:end)>-p.cut)+ibottom-1;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   495
if length(i1)==0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   496
 i1=1;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   497
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   498
if length(i2)==0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   499
 i2=length(d.z);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   500
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   501
ii=d.z*0;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   502
ic=i1(end):i2(1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   503
ii(ic)=1;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   504
if (sum(ii)~=length(ii)) & p.cut>0 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   505
 disp(' remove data at begining and end of cast')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   506
 disp(' adjust start and end time ')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   507
 d=cutstruct(d,ii);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   508
 p.zpar([1 3])=p.cut;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   509
 subplot(321), ax=axis; plot([1 1]*ic(1),ax(3:4),'--k')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   510
 subplot(322), ax=axis; plot([1 1]*ic(end),ax(3:4),'--k')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   511
 p.time_start=gregoria(d.time_jul(1));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   512
 p.time_end=gregoria(d.time_jul(end));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   513
 if existf(d,'slon')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   514
  % average over first p.navtime_av days
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   515
  ii=find(d.time_jul<(d.time_jul(1)+p.navtime_av));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   516
  slon=median(d.slon(ii));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   517
  slat=median(d.slat(ii));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   518
  if isfinite(slon+slat)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   519
   p.poss=[fix(slat), (slat-fix(slat))*60, fix(slon), (slon-fix(slon))*60];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   520
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   521
  ii=find(d.time_jul>(d.time_jul(end)-p.navtime_av));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   522
  elon=median(d.slon(ii));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   523
  elat=median(d.slat(ii));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   524
  disp(' find new start end position')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   525
 elseif existf(p,'poss')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   526
  % don't have time variable navigation data, adjust end position
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   527
  % to account for shorter cast time
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   528
  slat=p.poss(1)+p.poss(2)/60; 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   529
  slon=p.poss(3)+p.poss(4)/60; 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   530
  elat=p.pose(1)+p.pose(2)/60; 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   531
  elon=p.pose(3)+p.pose(4)/60; 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   532
  elon=slon+(elon-slon)*sum(ii)/length(ii);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   533
  elat=slat+(elat-slat)*sum(ii)/length(ii);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   534
  disp(' adjust end position for shorter cast time')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   535
  if isfinite(elon+elat)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   536
   p.pose=[fix(elat), (elat-fix(elat))*60, fix(elon), (elon-fix(elon))*60];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   537
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   538
 end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   539
	  
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   540
 % save start and end depth
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   541
 p.zpar(1)=-d.z(1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   542
 p.zpar(3)=-d.z(end);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   543
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   544
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   545
streamer([p.name,'   Figure 4']);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   546
pause(0.01)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   547
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   548
%-----------------------------------------------------------------
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   549
function [d,A,izbot]=dinset(dw,dt)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   550
% function [d,A]=dinset(dw,dt)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   551
% set up sparse Matrix for depth inversion
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   552
%
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   553
[nb,nt]=size(dw);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   554
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   555
% find bottom roughly and devide cast in down and up trace
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   556
if nb>1
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   557
 wm=medianan(dw);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   558
else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   559
 wm=dw;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   560
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   561
ii=find(~isfinite(wm));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   562
wm(ii)=0;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   563
zz=cumsum(wm.*dt);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   564
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   565
[zbot,izbot]=maxnan(zz);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   566
disp([' bottom:',int2str(zbot),' @ ',int2str(izbot)])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   567
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   568
ido=1:izbot;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   569
iup=(izbot+1):length(dt);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   570
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   571
% 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   572
dtm=repmat(dt,[nb 1]);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   573
izm=repmat(1:nt,[nb 1]);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   574
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   575
d=reshape(dw.*dtm,nb*nt,1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   576
izv=reshape(izm,nb*nt,1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   577
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   578
ibad=find((izv-1)<1 | (izv+1)>nt);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   579
d(ibad)=[];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   580
izv(ibad)=[];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   581
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   582
iweak=find(~isfinite(d) | (izv-1)<1 | (izv+1)>nt);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   583
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   584
it=[1:length(d)]';
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   585
i1=it*0+0.5;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   586
d(iweak)=0;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   587
i1(iweak)=0.01;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   588
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   589
A=sparse([it;it],[izv+1;izv-1],[i1;-i1]);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   590
A(1,nt)=0;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   591
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   592
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   593
%==============================================================
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   594
function a=cutstruct(a,ii)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   595
% reduce array size in structure
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   596
lz=length(ii);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   597
iok=find(ii==1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   598
if existf(a,'cutindx')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   599
 a.cutindx=a.cutindx(1)-1+[iok(1) iok(end)];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   600
else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   601
 a.cutindx=[iok(1) iok(end)];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   602
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   603
if isstruct(a)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   604
  fnames = fieldnames(a);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   605
  for n=1:size(fnames,1)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   606
   dummy = getfield(a,fnames{n});
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   607
   [ly,lx]=size(dummy);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   608
   if ly==lz
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   609
    a=setfield(a,fnames{n},dummy(iok,:));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   610
   elseif lx==lz
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   611
    a=setfield(a,fnames{n},dummy(:,iok));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   612
   end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   613
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   614
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   615
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   616
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   617
%-------------------------------------------------------------------
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   618
function [A,d]=dismoo(A,d,fs0,cur);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   619
% function [A,d]=dismoo(A,d,fs0,cur);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   620
%
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   621
% smooth results by minimizing curvature
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   622
% also smooth if elements are not constrained
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   623
%
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   624
if nargin<3, fs0=1; end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   625
if nargin<4, cur=[-1 2 -1]; end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   626
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   627
[ld,ls]=size(A);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   628
fs=full(sum(abs(A)));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   629
fsm=max(median(fs),0.1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   630
% find ill constrained data
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   631
ibad=find(fs<fsm*0.1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   632
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   633
% increase weight for poorly constrained data
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   634
fs=max(fs,fsm*0.1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   635
fs=fsm^2./fs * fs0(1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   636
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   637
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   638
if length(ibad)>0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   639
% set ill constrainded data to a minimum weight
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   640
 fs(ibad)=max(fs(ibad),0.5);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   641
 if fs0==0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   642
  disp([' found ',int2str(length(ibad)),' ill constrained elements will smooth '])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   643
 else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   644
  disp([' found ',int2str(length(ibad)),' ill constrained elements'])
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   645
 end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   646
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   647
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   648
if sum(fs>0)>0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   649
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   650
 cur=cur-mean(cur);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   651
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   652
 lc=length(cur);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   653
 lc2=fix(lc/2);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   654
 fs2=fs((lc2+1):(end-lc2));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   655
 inc=[1:length(cur)]-lc2;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   656
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   657
 ii=find(fs2>0);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   658
 % find how many smooth constraints to apply
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   659
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   660
 if length(ii)>0 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   661
  [i1,i2]=meshgrid(inc,ii+lc2-1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   662
  [curm,fsm]=meshgrid(cur,fs2(ii));
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   663
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   664
  As=sparse(i2,i1+i2,curm.*fsm);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   665
  [lt,lm]=size(A);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   666
  if size(As,2)<lm 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   667
   As(1,lm)=0;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   668
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   669
  A=[A;As];
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   670
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   671
 end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   672
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   673
% smooth start and end of vector
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   674
 for j=1:lc2
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   675
  j0=j-1;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   676
  [lt,lm]=size(A);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   677
  if fs(1+j0)>0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   678
   A(lt+1,[1:2]+j0)=[2 -2]*fs(1+j0);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   679
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   680
  if fs(end-j0)>0
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   681
   A(lt+2,end-[1,0]-j0)=[-2 2]*fs(end-j0);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   682
  end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   683
 end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   684
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   685
 [lt,lm]=size(A);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   686
 d(lt)=0;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   687
else
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   688
 disp(' no smoothness constraint applied ')
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   689
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   690
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   691
%-------------------------------------------------------------------
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   692
function [m,dm,c]=lesqchol(d,g)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   693
% function [m,dm,c]=lesqcholw(d,g)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   694
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   695
% fit least squares method to linear problem 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   696
% Use Cholesky transform
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   697
% 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   698
%input parameters:
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   699
%  d:= data vector ;  g:= model matrix 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   700
% output parameters:
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   701
% m=model factors; dm= model data, c=correlation 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   702
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   703
n=length(d);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   704
[i,j]=size(g);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   705
if i~=n; disp(' wrong arguments'),return,end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   706
[r,b] = chol( g.' * g);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   707
if b~=0, m=g(1,:)'+NaN; dm=d+NaN; c=NaN; return, end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   708
y = forwardsub(r.' , g.' * d);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   709
m  = backsub(r,y);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   710
if nargout<2, return, end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   711
dm = g * m;
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   712
if nargout<3, return, end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   713
co = cov([d,dm]);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   714
c  = co(1,2) / sqrt( co(1,1)*co(2,2) );
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   715
 
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   716
%-------------------------------------------------------------------
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   717
function  X = backsub(A,B)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   718
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   719
% X = BACKSUB(A,B)  Solves AX=B where A is upper triangular.
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   720
% A is an nxn upper-triangular matrix (input)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   721
% B is an nxp matrix (input)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   722
% X is an nxp matrix (output)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   723
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   724
[n,p] = size(B);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   725
X = zeros(n,p);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   726
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   727
X(n,:) = B(n,:)/A(n,n);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   728
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   729
for i = n-1:-1:1,
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   730
  X(i,:) = (B(i,:) - A(i,i+1:n)*X(i+1:n,:))/A(i,i);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   731
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   732
%-------------------------------------------------------------------
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   733
function  X = forwardsub(A,B)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   734
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   735
% X = FORWARDSUB(A,B))  Solves AX=B where A is lower triangular.
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   736
% A is an nxn lower-triangular matrix, input.
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   737
% B is an nxp matrix (input)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   738
% X is an nxp matrix (output)
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   739
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   740
[n,p] = size(B);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   741
X = zeros(n,p);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   742
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   743
X(1,:) = B(1,:)/A(1,1);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   744
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   745
for i = 2:n,
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   746
  X(i,:) = (B(i,:) - A(i,1:i-1)*X(1:i-1,:))/A(i,i);
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   747
end
0a450563f904 VIX_6: first version for Mercurial release
A.M. Thurnherr <ant@ldeo.columbia.edu>
parents:
diff changeset
   748