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annotate m-toolbox/test/test_ao_zDomainFit_1.m @ 35:4be5f7a5316f database-connection-manager

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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1 % Test script for zDomainFit
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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2 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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3 % L. Ferraioli 02-12-08
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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4 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % $Id: test_ao_zDomainFit_1.m,v 1.7 2009/12/02 16:50:49 luigi Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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7 %% Building a frequency response
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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9 % Create a frequency-series AO
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % pl_data = plist('fsfcn', '0.01./(0.01+f)', 'f1', 1e-6, 'f2', 5, 'nf', 1000);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 pl_data = plist('fsfcn', '(1e-3./(f).^2 + 1e3./(0.001+f) + 1e5.*f.^2).*1e-10', 'f1', 1e-6, 'f2', 5, 'nf', 100);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 a = ao(pl_data);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 a.setName;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 % iplot(a)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 %% Fitting 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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18 % Check if Mean Square Error is lower than FITTOL and its relative
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % variation is lower than MSEVARTOL
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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20
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % Fitting parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 pl_fit = plist('FS',10,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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23 'AutoSearch','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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24 'StartPoles',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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25 'StartPolesOpt','clog',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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26 'maxiter',40,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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27 'minorder',10,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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28 'maxorder',25,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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29 'weights',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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30 'weightparam','abs',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 'CONDTYPE','MSE',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 'FITTOL',1e-4,... % check if MSE is lower than 1e-4
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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33 'MSEVARTOL',1e-2,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 'Plot','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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35 'ForceStability','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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36 'CheckProgress','off');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 % Do fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 mod = zDomainFit(a, pl_fit);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 %% Fitting 2
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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42 % Check if Rresiduals log difference is larger than FITTOL and MSE relative
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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43 % variation is lower than MSEVARTOL
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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44
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 % Fitting parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 pl_fit = plist('FS',10,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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47 'AutoSearch','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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48 'StartPoles',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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49 'StartPolesOpt','clog',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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50 'maxiter',40,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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51 'minorder',10,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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52 'maxorder',25,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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53 'weights',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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54 'weightparam','abs',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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55 'CONDTYPE','RLD',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56 'FITTOL',1,... % check if RLD is larger than 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 'MSEVARTOL',1e-2,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 'Plot','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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59 'ForceStability','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 'CheckProgress','off');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 % Do fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 mod = zDomainFit(a, pl_fit);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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65 %% Fitting 3
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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66 % Check if Rresiduals spectral flatness is larger than FITTOL and MSE relative
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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67 % variation is lower than MSEVARTOL
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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68
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 % Fitting parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 pl_fit = plist('FS',10,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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71 'AutoSearch','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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72 'StartPoles',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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73 'StartPolesOpt','clog',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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74 'maxiter',40,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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75 'minorder',10,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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76 'maxorder',25,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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77 'weights',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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78 'weightparam','abs',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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79 'CONDTYPE','RSF',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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80 'FITTOL',0.03,... % check if RSF is larger than 0.03
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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81 'MSEVARTOL',1e-2,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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82 'Plot','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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83 'ForceStability','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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84 'CheckProgress','off');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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85
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 % Do fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 mod = zDomainFit(a, pl_fit);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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88
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 %% Comparison
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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90
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 resp = mod.procinfo.find('FIT_RESP');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 resids = mod.procinfo.find('FIT_RESIDUALS');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 mse = mod.procinfo.find('FIT_MSE');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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94 iplot(a,resp,abs(resids))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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95
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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96 %% Testing the ability of reproducing models
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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97
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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98 clear all
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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99 % Define a pratial fraction miir object
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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100 f = logspace(-6,log10(5),30);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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101 fs = 10;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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102 res = [0.7 0.2+0.01i 0.2-0.01i];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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103 poles = [0.5 0.1+0.07i 0.1-0.07i];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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104 tmod(3,1) = miir;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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105
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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106 for ii = 1:3
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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107 tmod(ii,1) = miir(res(ii),[1 -poles(ii)],fs);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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108 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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109
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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110 btmod = filterbank(plist('filters',tmod,'type','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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111
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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112 rtmod = resp(btmod.filters,plist('bank','parallel','f',f.'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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113
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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114 % do the fit on the response
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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115 fs = 10;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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116 plstd2 = plist('FS',fs,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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117 'AutoSearch','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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118 'StartPoles',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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119 'StartPolesOpt','clog',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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120 'maxiter',60,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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121 'minorder',3,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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122 'maxorder',3,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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123 'weights',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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124 'weightparam','abs',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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125 'CONDTYPE','MSE',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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126 'FITTOL',1e-3,... % check if MSE is lower than 1e-3
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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127 'MSEVARTOL',1e-2,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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128 'Plot','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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129 'ForceStability','off',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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130 'CheckProgress','off');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 out = zDomainFit(rtmod,plstd2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 % Check that coefficients are equal within a tolerance
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134 for kk=1:numel(out.filters)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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135 if any(abs(tmod(kk).a - out.filters(kk).a)>1e-6)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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136 disp([num2str(kk) 'numerator coefficients are not consistent']);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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137 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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138 disp([num2str(kk) 'numerator coefficients are consistent'])
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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139 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140 if any(abs(tmod(kk).b - out.filters(kk).b)>1e-6)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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141 disp([num2str(kk) 'denominator coefficients are not consistent']);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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142 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 disp([num2str(kk) 'denominator coefficients are consistent'])
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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146 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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147
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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148
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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149 %% help example
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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150
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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151 pl = plist('fsfcn', '(1e-3./(2.*pi.*1i.*f).^2 + 1e3./(0.001+2.*pi.*1i.*f) + 1e5.*(2.*pi.*1i.*f).^2).*1e-10', 'f1', 1e-6, 'f2', 5, 'nf', 100);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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152 a = ao(pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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153 a.setName;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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154
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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155 % Fitting parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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156 pl_fit = plist('FS',10,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
157 'AutoSearch','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
158 'StartPoles',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
159 'StartPolesOpt','clog',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
160 'maxiter',50,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
161 'minorder',15,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
162 'maxorder',30,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
163 'weights',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
164 'weightparam','abs',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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165 'CONDTYPE','MSE',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
166 'FITTOL',1e-2,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
167 'MSEVARTOL',1e-1,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
168 'Plot','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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169 'ForceStability','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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170 'CheckProgress','off');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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171
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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172 % Do fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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173 mod = zDomainFit(a, pl_fit);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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174
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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175 %% help test
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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176
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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177 pl = plist('fsfcn', '(1e-3./(2.*pi.*1i.*f).^2 + 1e3./(0.001+2.*pi.*1i.*f) + 1e5.*(2.*pi.*1i.*f).^2).*1e-10', 'f1', 1e-6, 'f2', 5, 'nf', 100);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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178 a = ao(pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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179 a.setName;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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180
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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181 % Fitting parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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182 pl_fit = plist('FS',10,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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183 'AutoSearch','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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184 'StartPoles',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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185 'StartPolesOpt','clog',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
186 'maxiter',50,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
187 'minorder',15,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
188 'maxorder',30,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
189 'weights',[],...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
190 'weightparam','abs',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
191 'CONDTYPE','MSE',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
192 'FITTOL',1e-2,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
193 'MSEVARTOL',1e-1,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
194 'Plot','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
195 'ForceStability','on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
196 'CheckProgress','off');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
197
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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198 % Do fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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199 mod = zDomainFit(a, pl_fit);