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

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[project @ 2007-10-12 06:40:56 by jwe]
author jwe
date Fri, 12 Oct 2007 06:41:26 +0000
parents 8b0cfeb06365
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} {} deconv (@var{y}, @var{a})
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21 ## Deconvolve two vectors.
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22 ##
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23 ## @code{[b, r] = deconv (y, a)} solves for @var{b} and @var{r} such that
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24 ## @code{y = conv (a, b) + r}.
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25 ##
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26 ## If @var{y} and @var{a} are polynomial coefficient vectors, @var{b} will
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27 ## contain the coefficients of the polynomial quotient and @var{r} will be
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28 ## a remainder polynomial of lowest order.
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29 ## @seealso{conv, poly, roots, residue, polyval, polyderiv, polyinteg}
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30 ## @end deftypefn
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31
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32 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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33 ## Created: June 1994
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34 ## Adapted-By: jwe
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35
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36 function [b, r] = deconv (y, a)
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37
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38 if (nargin != 2)
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39 print_usage ();
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40 endif
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41
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42 if (! (isvector (y) && isvector (a)))
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43 error("conv: both arguments must be vectors");
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44 endif
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45
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46 la = length (a);
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47 ly = length (y);
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48
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49 lb = ly - la + 1;
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50
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51 if (ly > la)
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52 b = filter (y, a, [1, (zeros (1, ly - la))]);
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53 elseif (ly == la)
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54 b = filter (y, a, 1);
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55 else
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56 b = 0;
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57 endif
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58
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59 lc = la + length (b) - 1;
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60 if (ly == lc)
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61 r = y - conv (a, b);
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62 else
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63 r = [(zeros (1, lc - ly)), y] - conv (a, b);
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64 endif
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65
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66 endfunction