--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/m-toolbox/test/utils/test_2dim_vdfit.m	Wed Nov 23 19:22:13 2011 +0100
@@ -0,0 +1,184 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% TEST Fitting procedure in 2dim z-domain VDFIT
+% At the end you have 4 stable transfer functions in partial fractions
+% 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% HISTORY:     02-10-2008 L Ferraioli
+%                 Creation
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% VERSION
+
+'$Id: test_2dim_vdfit.m,v 1.1 2009/04/23 10:11:26 luigi Exp $';
+
+%% Clear
+
+clear all
+
+%% Loading spectra
+
+load ..\m-toolbox\test\mpsd.mat % load mpsd.mat first column is f then psd1, csd and psd2
+
+f = mpsd(:,1);
+csd11 = mpsd(:,2);
+csd12 = mpsd(:,3);
+csd21 = [];
+csd22 = mpsd(:,4);
+
+fs = 10;
+
+
+%% Eigendecomposition
+
+[tf11,tf12,tf21,tf22] = utils.math.eigcsd(csd11,csd12,csd21,csd22,'USESYM',0,'DIG',50,'OTP','TF');
+
+%% Constructing vector
+
+f1 = [tf11 tf21];
+f2 = [tf12 tf22];
+
+%% VDFIT
+tic;
+
+clear mlr1 mlr2
+
+N = 32; %Order of approximation 
+
+
+% Max Iteration
+Nmaxiter = 40;
+
+% mlr1 = zeros(Nmaxiter,1);
+% mlr2 = zeros(Nmaxiter,1);
+
+% Fitting params
+fitin.stable = 0;
+fitin.dterm = 0;
+fitin.plot = 0;
+fitin.fs = fs;
+
+weight = utils.math.wfun(f1,2);
+% weight = 1./abs(f1);
+
+pparams = struct('spolesopt',3, 'type','DISC', 'pamp', 0.98);
+poles1 = utils.math.startpoles(N,f,pparams);
+for hh = 1:Nmaxiter
+  [res1,poles1,dterm1,mresp1,rdl1,sqe1] = utils.math.vdfit(f1,f,poles1,weight,fitin); % Fitting
+  disp(['Iter' num2str(hh)])
+
+  % Stop condition checking
+  mlr1(hh) = sqe1(:,1);
+  mlr2(hh) = sqe1(:,2);
+%   [ext1,msg1] = utils.math.stopfit(f1(:,1),rdl1(:,1),mlr1,'lrsrmse',2,15);
+%   [ext2,msg2] = utils.math.stopfit(f1(:,2),rdl1(:,2),mlr2,'lrsrmse',2,15);
+  
+%   order = length(poles1);
+%   mlr1(hh) = mean(log10(abs(f1(:,1)))-log10(abs(rdl1(:,1))));
+%   mlr2(hh) = mean(log10(abs(f1(:,2)))-log10(abs(rdl1(:,2))));
+%   [ext1,msg1] = utils.math.stopfit(f1(:,1),rdl1(:,1),mlr1,order,'lrs',1,0.0001,2);
+%   [ext2,msg2] = utils.math.stopfit(f1(:,2),rdl1(:,2),mlr2,order,'lrs',1,0.0001,2);
+
+%   if ext1 && ext2
+%     disp(msg1)
+%     break
+%   end
+
+end
+elpstime = toc;
+
+% plotting squared error
+figure()
+semilogy(mlr1,'-ok')
+hold on
+grid on
+semilogy(mlr2,'-or')
+
+% % plotting RMS error variation
+% figure()
+% semilogy(abs(diff(sqrt(mlr1))),'-ok')
+% hold on
+% grid on
+% semilogy(abs(diff(sqrt(mlr2))),'-or')
+
+% plotting squared error variation
+figure()
+semilogy(abs(diff(mlr1)./mlr1(1,end-1)),'-ok')
+hold on
+grid on
+semilogy(abs(diff(mlr2)./mlr2(1,end-1)),'-or')
+
+%% All Passing
+
+% [np1,resp1] = pfallpz(res1,poles1,dterm1,mresp1,f,fs);
+[nr1,np1,nd1,resp1] = utils.math.pfallpsymz(res1,poles1,dterm1,mresp1,f,fs);
+
+
+figure()
+subplot(2,1,1);
+p1 = loglog(f,abs(mresp1),'k');
+hold on
+p2 = loglog(f,abs(resp1),'r');
+xlabel('Frequency [Hz]')
+ylabel('Amplitude')
+legend([p1(1) p2(1)],'VDFIT','Stabilized')
+hold off
+
+subplot(2,1,2);
+p4 = semilogx(f,(180/pi).*unwrap(angle(mresp1)),'k');
+hold on
+p5 = semilogx(f,(180/pi).*unwrap(angle(resp1)),'r');
+xlabel('Frequency [Hz]')
+ylabel('Phase [Deg]')
+legend([p4(1) p5(1)],'VDFIT', 'Stabilized')
+hold off
+
+%% VDFIT
+
+clear mlr3 mlr4 ext1 ext2
+N = 24; %Order of approximation
+
+
+% Max Iteration
+Nmaxiter = 70;
+
+% Fitting params
+fitin.stable = 0;
+fitin.dterm = 0;
+fitin.plot = 1;
+fitin.fs = fs;
+
+weight = utils.math.wfun(f2,2);
+
+pparams = struct('spolesopt',2, 'type','DISC', 'pamp', 0.98);
+poles2 = utils.math.startpoles(N,f,pparams);
+
+for hh = 1:Nmaxiter
+  [res2,poles2,dterm2,mresp2,rdl2,rmse2] = utils.math.vdfit(f2,f,poles2,weight,fitin); % Fitting
+  disp(['Iter' num2str(hh)])
+
+  % Stop condition checking
+  mlr3(hh) = rmse2(:,1);
+  mlr4(hh) = rmse2(:,2);
+  [ext1,msg1] = utils.math.stopfit(f2(:,1),rdl2(:,1),mlr3,'lrsrmse',2,15);
+  [ext2,msg2] = utils.math.stopfit(f2(:,2),rdl2(:,2),mlr4,'lrsrmse',2,15);
+
+  if ext1 && ext2
+    disp(msg1)
+    break
+  end
+
+end
+
+% plotting RMS error
+figure()
+semilogy(mlr3,'-ok')
+hold on
+grid on
+semilogy(mlr4,'-or')
+
+%%
+% params = struct('spolesopt',2, 'Nmaxiter',250, 'minorder',30,...
+%   'maxorder',60, 'weightparam',1, 'plot',0,...
+%   'ctp','lrs','lrscond',1,'lrsvarcond',1,'nrmsecond',2,...
+%   'stabfit',0,'dterm',0,'spy',0);
+% 
+% [res2,poles2,dterm2,mresp2,rdl2] = autodfit(f2,f,fs,params);