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annotate scripts/polynomial/deconv.m @ 1596:b26b206a8994

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[project @ 1995-11-01 00:47:21 by jwe]
author jwe
date Wed, 01 Nov 1995 00:47:21 +0000
parents 52a3f38cbfeb
children 5d29638dd524
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1 # Copyright (C) 1995 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 the
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7 # Free Software Foundation; either version 2, or (at your option) any
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8 # later version.
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9 #
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10 # Octave is distributed in the hope that it will be useful, but WITHOUT
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11 # ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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12 # FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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13 # 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 02111-1307, USA.
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18
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19 function [b, r] = deconv (y, a)
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20
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21 # usage: deconv (y, a)
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22 #
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23 # Deconvolve two vectors.
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24 #
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25 # [b, r] = deconv (y, a) solves for b and r such that
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26 # y = conv(a,b) + r
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27 #
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28 # If y and a are polynomial coefficient vectors, b will contain the
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29 # coefficients of the polynomial quotient and r will be a remander
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30 # polynomial of lowest order.
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31 #
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32 # SEE ALSO: conv, poly, roots, residue, polyval, polyderiv,
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33 # polyinteg
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34
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35 # Written by Tony Richardson (amr@mpl.ucsd.edu) June 1994.
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36
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37 if (nargin != 2)
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38 usage ("deconv (y, a)");
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39 endif
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40
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41 if (is_matrix (y) || is_matrix (a))
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42 error("conv: both arguments must be vectors");
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43 endif
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44
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45 la = length (a);
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46 ly = length (y);
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47
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48 lb = ly - la + 1;
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49
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50 if (ly > la)
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51 b = filter (y, a, [1, (zeros (1, ly - la))]);
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52 elseif (ly == la)
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53 b = filter (y, a, 1);
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54 else
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55 b = 0;
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56 endif
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57
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58 b = polyreduce (b);
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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 r = polyreduce (r);
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68
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69 endfunction