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annotate m-toolbox/test/LTPDA_training/topic5/TrainigSession_T5_Ex04.m @ 0:f0afece42f48

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % Training session Topic 5 exercise 04
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 % Fitting time series with polynimials
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % 1) Load time series noise
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % 2) Fit data with ao/polyfit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % 3) Check results
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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>
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9 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % L FERRAIOLI 22-02-09
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 % $Id: TrainigSession_T5_Ex04.m,v 1.2 2011/05/13 15:13:12 ingo Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 %
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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
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 %% 1) load fsdata
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17
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % load test noise AO from file
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 a = ao(plist('filename', 'topic5/T5_Ex04_TestNoise.xml'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 a.setName;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 % looking at data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 iplot(a)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 %% 2) polyfit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 % ao/polyfit is a wrapper of the matlab function polyfit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 % set plist for fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 plfit = plist('N', 6); % set the order of the polynomial to be fitted to data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 % fit data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 p = polyfit(a, plfit);
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34
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 % evaluating model
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 b = ao(plist('polyval', p, 't', a));
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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 %% 3) Check results
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 % plot model and data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 iplot(a,b)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 % plotting fit residuals
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 iplot(a-b)
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45
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