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[project @ 2007-10-12 21:27:11 by jwe]
author jwe
date Fri, 12 Oct 2007 21:27:37 +0000
parents 93c65f2a5668
children 83a8781b529d 78cf5edb69ce
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1 ## Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2004,
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2 ## 2005, 2006, 2007 John W. Eaton
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} deconv (@var{y}, @var{a})
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22 ## Deconvolve two vectors.
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23 ##
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24 ## @code{[b, r] = deconv (y, a)} solves for @var{b} and @var{r} such that
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25 ## @code{y = conv (a, b) + r}.
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26 ##
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27 ## If @var{y} and @var{a} are polynomial coefficient vectors, @var{b} will
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28 ## contain the coefficients of the polynomial quotient and @var{r} will be
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29 ## a remainder polynomial of lowest order.
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30 ## @seealso{conv, poly, roots, residue, polyval, polyderiv, polyinteg}
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31 ## @end deftypefn
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32
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33 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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34 ## Created: June 1994
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35 ## Adapted-By: jwe
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36
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37 function [b, r] = deconv (y, a)
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38
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39 if (nargin != 2)
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40 print_usage ();
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41 endif
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42
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43 if (! (isvector (y) && isvector (a)))
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44 error("conv: both arguments must be vectors");
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45 endif
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46
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47 la = length (a);
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48 ly = length (y);
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49
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50 lb = ly - la + 1;
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51
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52 if (ly > la)
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53 b = filter (y, a, [1, (zeros (1, ly - la))]);
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54 elseif (ly == la)
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55 b = filter (y, a, 1);
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56 else
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57 b = 0;
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58 endif
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59
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60 lc = la + length (b) - 1;
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61 if (ly == lc)
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62 r = y - conv (a, b);
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63 else
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64 r = [(zeros (1, lc - ly)), y] - conv (a, b);
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65 endif
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66
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67 endfunction