X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;f=octave_packages%2Fm%2Fpolynomial%2Fdeconv.m;fp=octave_packages%2Fm%2Fpolynomial%2Fdeconv.m;h=db1c400b175d7d11952dd739b298cf53b92bba4f;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/polynomial/deconv.m b/octave_packages/m/polynomial/deconv.m new file mode 100644 index 0000000..db1c400 --- /dev/null +++ b/octave_packages/m/polynomial/deconv.m @@ -0,0 +1,110 @@ +## Copyright (C) 1994-2012 John W. Eaton +## +## This file is part of Octave. +## +## Octave is free software; you can redistribute it and/or modify it +## under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3 of the License, or (at +## your option) any later version. +## +## Octave is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} deconv (@var{y}, @var{a}) +## Deconvolve two vectors. +## +## @code{[b, r] = deconv (y, a)} solves for @var{b} and @var{r} such that +## @code{y = conv (a, b) + r}. +## +## If @var{y} and @var{a} are polynomial coefficient vectors, @var{b} will +## contain the coefficients of the polynomial quotient and @var{r} will be +## a remainder polynomial of lowest order. +## @seealso{conv, residue} +## @end deftypefn + +## Author: Tony Richardson +## Created: June 1994 +## Adapted-By: jwe + +function [b, r] = deconv (y, a) + + if (nargin != 2) + print_usage (); + endif + + if (! (isvector (y) && isvector (a))) + error("deconv: both arguments must be vectors"); + endif + + la = length (a); + ly = length (y); + + lb = ly - la + 1; + + ## Ensure A is oriented as Y. + if (diff (size (y)(1:2)) * diff (size (a)(1:2)) < 0) + a = permute (a, [2, 1]); + endif + + if (ly > la) + x = zeros (size (y) - size (a) + 1); + x (1) = 1; + b = filter (y, a, x); + elseif (ly == la) + b = filter (y, a, 1); + else + b = 0; + endif + + lc = la + length (b) - 1; + if (ly == lc) + r = y - conv (a, b); + else + ## Respect the orientation of Y" + if (size (y, 1) <= size (y, 2)) + r = [(zeros (1, lc - ly)), y] - conv (a, b); + else + r = [(zeros (lc - ly, 1)); y] - conv (a, b); + endif + if (ly < la) + ## Trim the remainder is equal to the length of Y. + r = r(end-(length(y)-1):end); + endif + endif + +endfunction + +%!test +%! [b, r] = deconv ([3, 6, 9, 9], [1, 2, 3]); +%! assert(all (all (b == [3, 0])) && all (all (r == [0, 0, 0, 9]))); + +%!test +%! [b, r] = deconv ([3, 6], [1, 2, 3]); +%! assert(b == 0 && all (all (r == [3, 6]))); + +%!test +%! [b, r] = deconv ([3, 6], [1; 2; 3]); +%! assert(b == 0 && all (all (r == [3, 6]))); + +%!test +%! [b,r] = deconv ([3; 6], [1; 2; 3]); +%! assert (b == 0 && all (all (r == [3; 6]))) + +%!test +%! [b, r] = deconv ([3; 6], [1, 2, 3]); +%! assert (b == 0 && all (all (r == [3; 6]))) + +%!test +%! assert (deconv ((1:3)',[1, 1]), [1; 1]) + +%!error [b, r] = deconv ([3, 6], [1, 2; 3, 4]); + +%!error [b, r] = deconv ([3, 6; 1, 2], [1, 2, 3]); +