X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;f=octave_packages%2Fm%2Fsignal%2Ffftconv.m;fp=octave_packages%2Fm%2Fsignal%2Ffftconv.m;h=8f2d8d176e30a2b350e734a6dd438037f578052e;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/signal/fftconv.m b/octave_packages/m/signal/fftconv.m new file mode 100644 index 0000000..8f2d8d1 --- /dev/null +++ b/octave_packages/m/signal/fftconv.m @@ -0,0 +1,106 @@ +## 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} {} fftconv (@var{x}, @var{y}) +## @deftypefnx {Function File} {} fftconv (@var{x}, @var{y}, @var{n}) +## Convolve two vectors using the FFT for computation. +## +## @code{c = fftconv (@var{x}, @var{y})} returns a vector of length equal to +## @code{length (@var{x}) + length (@var{y}) - 1}. +## If @var{x} and @var{y} are the coefficient vectors of two polynomials, the +## returned value is the coefficient vector of the product polynomial. +## +## The computation uses the FFT by calling the function @code{fftfilt}. If +## the optional argument @var{n} is specified, an N-point FFT is used. +## @seealso{deconv, conv, conv2} +## @end deftypefn + +## Author: KH +## Created: 3 September 1994 +## Adapted-By: jwe + +function c = fftconv (x, y, n) + + if (nargin < 2 || nargin > 3) + print_usage (); + endif + + if (! (isvector (x) && isvector (y))) + error ("fftconv: both A and B must be vectors"); + endif + la = length (x); + lb = length (y); + if ((la == 1) || (lb == 1)) + c = x * y; + else + lc = la + lb - 1; + x(lc) = 0; + y(lc) = 0; + if (nargin == 2) + c = fftfilt (x, y); + else + if (! isscalar (n)) + error ("fftconv: N must be a scalar"); + endif + c = fftfilt (x, y, n); + endif + endif + +endfunction + + +%% FIXME: Borrow tests from conv.m. May need a tolerance on the assert comparison +%!test +%! x = ones(3,1); +%! y = ones(1,3); +%! b = 2; +%! c = 3; +%! assert (fftconv (x, x), [1; 2; 3; 2; 1], 5*eps); +%! assert (fftconv (y, y), [1, 2, 3, 2, 1], 5*eps); +%! assert (fftconv (x, y), [1, 2, 3, 2, 1], 5*eps); +%! assert (fftconv (y, x), [1; 2; 3; 2; 1], 5*eps); +%! assert (fftconv (c, x), [3; 3; 3], 5*eps); +%! assert (fftconv (c, y), [3, 3, 3], 5*eps); +%! assert (fftconv (x, c), [3; 3; 3], 5*eps); +%! assert (fftconv (y, c), [3, 3, 3], 5*eps); +%! assert (fftconv (b, c), 6, 5*eps); + +%!test +%! a = 1:10; +%! b = 1:3; +%! assert (size(conv(a,b)), [1, numel(a)+numel(b)-1]) +%! assert (size(conv(b,a)), [1, numel(a)+numel(b)-1]) + +%! a = (1:10).'; +%! b = 1:3; +%! assert (size(conv(a,b)), [numel(a)+numel(b)-1, 1]) +%! assert (size(conv(b,a)), [numel(a)+numel(b)-1, 1]) + +%!test +%! a = 1:10; +%! b = (1:3).'; +%! assert (size(conv(a,b)), [1, numel(a)+numel(b)-1]) +%! assert (size(conv(b,a)), [1, numel(a)+numel(b)-1]) + +%% Test input validation +%!error fftconv (1); +%!error fftconv (1,2,3,4); +%!error fftconv ([1, 2; 3, 4], 3); +%!error fftconv (2, []); +%!error fftconv ([1,1], [2,2] , [3, 4]);