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annotate scripts/polynomial/deconv.m @ 787:c5d35bb139b6

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[project @ 1994-10-11 00:34:13 by jwe] Initial revision
author jwe
date Tue, 11 Oct 1994 00:34:39 +0000
parents
children 3470f1e25a79
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1 function [b, r] = deconv (y, a)
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2
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3 # Deconvolve two vectors.
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4 #
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5 # [b, r] = deconv (y, a) solves for b and r such that
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6 # y = conv(a,b) + r
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7 #
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8 # If y and a are polynomial coefficient vectors, b will contain the
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9 # coefficients of the polynomial quotient and r will be a remander
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10 # polynomial of lowest order.
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11 #
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12 # SEE ALSO: conv, poly, roots, residue, polyval, polyderiv,
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13 # polyinteg
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14
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15 # Author:
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16 # Tony Richardson
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17 # amr@mpl.ucsd.edu
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18 # June 1994
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19
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20 if (nargin != 2)
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21 error ("usage: deconv (y,a)");
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22 endif
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23
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24 if (is_matrix (y) || is_matrix (a))
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25 error("conv: both arguments must be vectors");
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26 endif
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27
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28 la = length (a);
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29 ly = length (y);
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30
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31 lb = ly - la + 1;
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32
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33 if (ly > la)
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34 b = filter (y, a, [1 zeros (1, ly - la)]);
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35 elseif (ly == la)
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36 b = filter (y, a, 1);
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37 else
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38 b = 0;
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39 endif
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40
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41 b = polyreduce (b);
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42
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43 lc = la + length (b) - 1;
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44 if (ly == lc)
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45 r = y - conv (a, b);
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46 else
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47 r = [ zeros(1, lc - ly) y] - conv (a, b);
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48 endif
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49
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50 r = polyreduce (r);
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51
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52 endfunction