annotate scripts/polynomial/conv.m @ 7016:93c65f2a5668

[project @ 2007-10-12 06:40:56 by jwe]
author jwe
date Fri, 12 Oct 2007 06:41:26 +0000
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children a1dbe9d80eee
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1 ## Copyright (C) 1996, 1997 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 3 of the License, or (at
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8 ## your option) 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, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} conv (@var{a}, @var{b})
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21 ## Convolve two vectors.
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22 ##
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23 ## @code{y = conv (a, b)} returns a vector of length equal to
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24 ## @code{length (a) + length (b) - 1}.
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25 ## If @var{a} and @var{b} are polynomial coefficient vectors, @code{conv}
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26 ## returns the coefficients of the product polynomial.
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27 ## @seealso{deconv, poly, roots, residue, polyval, polyderiv, polyinteg}
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28 ## @end deftypefn
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29
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30 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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31 ## Created: June 1994
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32 ## Adapted-By: jwe
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33
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34 function y = conv (a, b)
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35
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36 if (nargin != 2)
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37 print_usage ();
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38 endif
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39
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40 if (! (isvector (a) && isvector (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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47 ly = la + lb - 1;
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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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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