📄 lsqfit.m
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function lsqfit()
%% function lsqfit() performs the Nonlinear Least-Square-Fit function
%%
%% Kriging Software Package version 3.0, May 1, 2004
%% Copyright (c) 1999, 2001, 2004, property of Dezhang Chu and Woods Hole Oceanographic
%% Institution. All Rights Reserved.
global para hdl data
ndigits=5;
if para.status.variogram >= 1 % Data-based Semi-Variogram or Correlogram has been computed
para.vario.model=get(hdl.vario.model,'Value');
indx=find(isnan(data.out.vario.gammah));
if ~isempty(indx)
for i=1:length(indx)
data.out.vario.gammah(indx(i))=mean_nan(data.out.vario.gammah);
end
end
cnt=data.out.vario.cnt;
wgt=cnt/sum(cnt);
data_in=[data.out.vario.lag(:) data.out.vario.gammah(:) wgt(:)];
model_para=[para.vario.nugt, para.vario.sill, para.vario.lscl, ...
para.vario.powr, para.vario.hole];
%% get truncated data
range=str2num(get(hdl.vario.range_edit,'String'));
indx=find(data.out.vario.lag <= range);
truncated_data=data_in(indx,:);
option=optimset('fminbnd');
option.MaxIter=2000;
LB=zeros(1,5);
UB=[1 3 2 4 10];
option.LevenbergMarquardt=1;
%[fit_para,option]=leastsq('cost_function',model_para,[],[],truncated_data);
[fit_para,norm2]=lsqnonlin('cost_function',model_para,LB,[],option,truncated_data);
%% ignore the imaginary partof the fitting coefficeint
para.vario.nugt=abs(real(fit_para(1)));
para.vario.sill=abs(real(fit_para(2)));
para.vario.lscl=abs(real(fit_para(3)));
para.vario.powr=abs(real(fit_para(4)));
para.vario.hole=abs(real(fit_para(5)));
variogram_theo(2);
else
message(1,['Select ' '''' 'Compute' '''' ' Button to compute Data-based Semi-Variogram/Correlogram from the data']);
end
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