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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 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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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18 ## 02110-1301, USA. |
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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 remander polynomial of lowest order. |
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30 ## @end deftypefn |
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31 ## |
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32 ## @seealso{conv, poly, roots, residue, polyval, polyderiv, and polyinteg} |
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33 |
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34 ## Author: Tony Richardson <arichard@stark.cc.oh.us> |
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35 ## Created: June 1994 |
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36 ## Adapted-By: jwe |
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37 |
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38 function [b, r] = deconv (y, a) |
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39 |
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40 if (nargin != 2) |
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41 usage ("deconv (y, a)"); |
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42 endif |
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43 |
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44 if (! (isvector (y) && isvector (a))) |
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45 error("conv: both arguments must be vectors"); |
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46 endif |
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47 |
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48 la = length (a); |
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49 ly = length (y); |
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50 |
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51 lb = ly - la + 1; |
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52 |
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53 if (ly > la) |
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54 b = filter (y, a, [1, (zeros (1, ly - la))]); |
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55 elseif (ly == la) |
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56 b = filter (y, a, 1); |
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57 else |
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58 b = 0; |
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59 endif |
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60 |
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61 lc = la + length (b) - 1; |
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62 if (ly == lc) |
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63 r = y - conv (a, b); |
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64 else |
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65 r = [(zeros (1, lc - ly)), y] - conv (a, b); |
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66 endif |
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67 |
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68 endfunction |
