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annotate m-toolbox/classes/+utils/@math/mtxiirresp.m @ 22:b11e88004fca 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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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % MTXIIRRESP calculate iir resp by matrix product
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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 % INPUT:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 % fil: a miir filter or a vector of filoters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % freq: the frequency vector
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % fs: sampling frequency
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % bank: filterbank type parameter ('parallel', 'serial' or 'none').
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8 % If it is left empty, it provide a vector of responses at the
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9 % output.
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10 %
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11 %
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12 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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13 function rsp = mtxiirresp(fil,freq,fs,bank)
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14
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15 T = 1/fs;
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16
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17 Nfil = numel(fil);
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18
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19 if Nfil>1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % check for different orders
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21 sza = zeros(Nfil,1);
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22 szb = zeros(Nfil,1);
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23 for jj=1:Nfil
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24 sza(jj) = numel(fil(jj).a);
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25 szb(jj) = numel(fil(jj).b);
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26 end
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27 Ncl = max([sza;szb]);
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28 else
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29 sza = numel(fil.a);
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30 szb = numel(fil.b);
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31 Ncl = max([sza szb]);
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32 end
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33
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34 % init A and B
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35 A = zeros(Nfil,Ncl);
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36 B = zeros(Nfil,Ncl);
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37
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 % get filters coefficients
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 if Nfil>1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 for ii=1:Nfil
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41 A(ii,1:sza(ii)) = fil(ii).a;
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42 B(ii,1:szb(ii)) = fil(ii).b;
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43 end
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44 else
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45 A(1:sza) = fil.a;
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46 B(1:szb) = fil.b;
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47 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 % build Z matrix
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49 Z = ones(size(A,2),numel(freq));
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50 zz = exp(-2.*pi.*1i.*T.*freq);
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51 for jj=2:size(Z,1)
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52 Z(jj,:) = zz.^(jj-1);
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53 end
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54
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55 % get numerator and denominator
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56 num = A*Z;
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57 den = B*Z;
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58 % get response
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59 rspm = num./den;
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60 if Nfil>1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 switch lower(bank)
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62 case 'parallel'
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63 rsp = sum(rspm,1);
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64 case 'serial'
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65 rsp = prod(rspm,1);
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66 otherwise
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67 rsp = rspm;
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68 end
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69 else
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70 rsp = rspm;
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71 end
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72
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73
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74 end