annotate scripts/polynomial/conv.m @ 2303:5cffc4b8de57

[project @ 1996-06-24 09:15:24 by jwe]
author jwe
date Mon, 24 Jun 1996 09:15:24 +0000
parents 5d29638dd524
children 2b5788792cad
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1 ### Copyright (C) 1996 John W. Eaton
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2 ###
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3 ### This file is part of Octave.
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4 ###
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5 ### Octave is free software; you can redistribute it and/or modify it
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6 ### under the terms of the GNU General Public License as published by
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7 ### the Free Software Foundation; either version 2, or (at your option)
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8 ### any later version.
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9 ###
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10 ### Octave is distributed in the hope that it will be useful, but
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11 ### WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ### MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ### General Public License for more details.
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14 ###
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15 ### You should have received a copy of the GNU General Public License
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16 ### along with Octave; see the file COPYING. If not, write to the Free
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17 ### Software Foundation, 59 Temple Place - Suite 330, Boston, MA
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18 ### 02111-1307, USA.
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19
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20 function y = conv (a, b)
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21
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22 ## usage: conv (a, b)
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23 ##
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24 ## Convolve two vectors.
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25 ##
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26 ## y = conv (a, b) returns a vector of length equal to length (a) +
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27 ## length (b) -1.
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28 ##
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29 ## If a and b are polynomial coefficient vectors, conv returns the
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30 ## coefficients of the product polynomial.
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31 ##
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32 ## SEE ALSO: deconv, poly, roots, residue, polyval, polyderiv, polyinteg
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33
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34 ## Written by Tony Richardson (amr@mpl.ucsd.edu) June 1994.
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35
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36 if (nargin != 2)
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37 usage ("conv(a, b)");
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38 endif
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39
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40 if (is_matrix (a) || is_matrix (b))
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41 error("conv: both arguments must be vectors");
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42 endif
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43
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44 la = length (a);
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45 lb = length (b);
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46
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47 ly = la + lb - 1;
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48
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49 ## Ensure that both vectors are row vectors.
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50 if (rows (a) > 1)
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51 a = reshape (a, 1, la);
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52 endif
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53 if (rows (b) > 1)
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54 b = reshape (b, 1, lb);
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55 endif
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56
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57 ## Use the shortest vector as the coefficent vector to filter.
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58 if (la < lb)
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59 if (ly > lb)
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60 x = [b, (zeros (1, ly - lb))];
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61 else
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62 x = b;
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63 endif
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64 y = filter (a, 1, x);
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65 else
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66 if(ly > la)
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67 x = [a, (zeros (1, ly - la))];
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68 else
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69 x = a;
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70 endif
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71 y = filter (b, 1, x);
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72 endif
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73
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74 endfunction