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1 ### Copyright (C) 1996 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, 59 Temple Place - Suite 330, Boston, MA |
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18 ### 02111-1307, USA. |
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19 |
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20 ## usage: deconv (y, a) |
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21 ## |
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22 ## Deconvolve two vectors. |
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23 ## |
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24 ## [b, r] = deconv (y, a) solves for b and r such that |
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25 ## y = conv(a,b) + r |
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26 ## |
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27 ## If y and a are polynomial coefficient vectors, b will contain the |
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28 ## coefficients of the polynomial quotient and r will be a remander |
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29 ## polynomial of lowest order. |
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30 ## |
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31 ## SEE ALSO: conv, poly, roots, residue, polyval, polyderiv, |
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32 ## polyinteg |
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33 |
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34 ## Author: Tony Richardson <amr@mpl.ucsd.edu> |
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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 (is_matrix (y) || is_matrix (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 b = polyreduce (b); |
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62 |
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63 lc = la + length (b) - 1; |
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64 if (ly == lc) |
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65 r = y - conv (a, b); |
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66 else |
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67 r = [(zeros (1, lc - ly)), y] - conv (a, b); |
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68 endif |
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69 |
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70 r = polyreduce (r); |
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71 |
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72 endfunction |
