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annotate m-toolbox/classes/+utils/@math/welchdft.m @ 33:5e7477b94d94 database-connection-manager

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % WELCHDFT welch method with dft
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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 % WELCHDFT comput welch'averaged periodogram with dft
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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 % CALL
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % Sf = welchdft(x,fs,f,Ns,olap,navs,order,win,psll)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % Sf = welchdft(x,fs,f,Ns,olap,navs,order,win,[])
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 % Sf = welchdft(x,fs,f,[],olap,navs,order,win,psll)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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9 % Sf = welchdft(x,fs,f,[],olap,navs,order,win,[])
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 %
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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 % INPUT
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13 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 % - x, data series, Nx1 double
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 % - fs, sampling frequency Hz, 1x1 double
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 % - f, frequenci vector Hz, 1x1 double
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 % - Ns, length of overlapping segments
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % - olap, overlap percentage
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % - navs, number of desired averages
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % - order, detrend order, -1,0,1,2,3,4,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % - win, window name. e.g 'BH92'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 % - psll, for Kaiser window only
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23 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 % REFERENCES
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % D. B. Percival and A. T. Walden, Spectral Analysis for Physical
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 % Applications (Cambridge University Press, Cambridge, 1993) p 291.
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28 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 % L Ferraioli 28-03-2011
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30 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 % $Id: welchdft.m,v 1.1 2011/03/28 16:37:23 luigi Exp $
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32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 function Sf = welchdft(x,fs,f,Ns,olap,navs,order,win,psll)
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34
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 N = numel(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 if isempty(olap)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 % compute shift factor
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 n = floor((N-Ns)/(navs-1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 if olap>1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 olap = olap/100;
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42 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 % compute Ns
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44 Ns = floor(N/(olap*(navs-1)+1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 % compute shift factor
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 n = olap*Ns;
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47 end
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48
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49 Nf = numel(f);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 Sf = zeros(Nf,1);
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51
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 % run welch averages
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 for ii=1:navs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 idx1 = n*(ii-1)+1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55 idx2 = n*(ii-1)+Ns;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56 if idx2>N
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 break
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58 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 seg = x(idx1:idx2);
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60
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 % get estimate for a segment
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 segxx = utils.math.computeDftPeriodogram(seg,fs,f,order,win,psll);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 % update sum
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 Sf = Sf + segxx;
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65 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 % complete average
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 Sf = Sf./navs;
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68
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69
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70
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71
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72
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73
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74
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75
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76 end