--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/m-toolbox/test/LTPDA_training/topic5/TrainigSession_T5_Ex02.m	Wed Nov 23 19:22:13 2011 +0100
@@ -0,0 +1,105 @@
+% Training session Topic 5 exercise 02
+% 
+% System identification in z-domain 2
+% 
+% 1) Load fsdata object from file
+% 2) Fit loaded TF data with zDomainFit and fixed order
+% 3) Compare results
+% 
+% L FERRAIOLI 22-02-09
+%
+% $Id: TrainigSession_T5_Ex02.m,v 1.3 2009/02/25 18:18:45 luigi Exp $
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%% 1) load fsdata
+
+% load AO from file
+rfilt = ao(plist('filename', 'topic5\T5_Ex02_rfilt.xml'));
+iplot(rfilt)
+
+%% 2) Fitting TF - fixed model order
+
+% Loaded fsdata are the response of an order 19 partial fractioned filter.
+% We now try to fitting the loaded filter response with zDomainFit with a
+% fixed model order.
+% We set Autosearch to off, in this case the function do not perform
+% accuracy test but simply run how far maximum number of iteration is
+% reached. Model order is fixed by minorder parameter. 
+
+plfit1 = plist('FS',10,... % Sampling frequency for the model filters
+  'AutoSearch','off',... % Automatically search for a good model
+  'StartPolesOpt','c1',... % Define the properties of the starting poles - complex distributed in the unitary circle
+  'maxiter',30,... % maximum number of iteration per model order
+  'minorder',19,... % fixed model order
+  'weightparam','abs',... % assign weights as 1./abs(data)
+  'Plot','on',... % set the plot on or off
+  'ForceStability','on',... % force to output a stable ploes model
+  'CheckProgress','off'); % display fitting progress on the command window
+
+% Do the fit
+fobj = zDomainFit(rfilt,plfit1);
+% setting input and output units for fitted model
+
+%% 3) Compare results
+
+% Extracting residues and poles from fit results
+fRes = zeros(numel(fobj),1); % fit residue vector initialization
+fPoles = zeros(numel(fobj),1); % fit poles vector initialization
+
+% extracting data from fitted filters
+for ii = 1:numel(fobj)
+  fRes(ii,1) = fobj(ii).a(1);
+  fPoles(ii,1) = -1*fobj(ii).b(2);
+end
+[fRes,idx] = sort(fRes);
+fPoles = fPoles(idx);
+
+% starting model residues and poles
+mRes = [2.44554138162509e-011 - 1.79482547894083e-011i;
+2.44554138162509e-011 + 1.79482547894083e-011i;
+2.66402334803101e-009 +  1.1025122049153e-009i;
+2.66402334803101e-009 -  1.1025122049153e-009i;
+-7.3560293387644e-009;
+-1.82811618589835e-009 - 1.21803627800855e-009i;
+-1.82811618589835e-009 + 1.21803627800855e-009i;
+1.16258677367555e-009;
+1.65216557639319e-016;                         
+-1.78092396888606e-016;
+-2.80420398962379e-017;
+9.21305973049041e-013 - 8.24686706827269e-014i;
+9.21305973049041e-013 + 8.24686706827269e-014i;
+5.10730060739905e-010 - 3.76571756625722e-011i;
+5.10730060739905e-010 + 3.76571756625722e-011i;
+3.45893698149735e-009;
+3.98139182134446e-014 - 8.25503935419059e-014i;
+3.98139182134446e-014 + 8.25503935419059e-014i;
+-1.40595719147164e-011];
+[mRes,idx] = sort(mRes);
+
+mPoles = [0.843464045655194 - 0.0959986292915475i;
+0.843464045655194 + 0.0959986292915475i;
+0.953187595424927 - 0.0190043625473383i;
+0.953187595424927 + 0.0190043625473383i;
+0.967176277937188;
+0.995012027005247 - 0.00268322602801729i;
+0.995012027005247 + 0.00268322602801729i;
+0.996564761885673;
+0.999999366165445;
+0.999981722418555;
+0.999921882627659;
+0.999624431675213 - 0.000813407848742761i;
+0.999624431675213 + 0.000813407848742761i;
+0.997312006278751 - 0.00265611346834941i;
+0.997312006278751 + 0.00265611346834941i;
+0.990516544257531;
+0.477796923118318 - 0.311064085401834i;
+0.477796923118318 + 0.311064085401834i;
+0];
+mPoles = mPoles(idx);
+
+% Check the relative difference
+(mRes-fRes)./abs(mRes)
+(mPoles-fPoles)./abs(mPoles)
+% Results are accurate to the 7th decimal digit
+