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fftconv.m
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1999-11-20
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## Copyright (C) 1996, 1997 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 2, 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, write to the Free
## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
## 02111-1307, USA.
## -*- texinfo -*-
## @deftypefn {Function File} {} fftconv (@var{a}, @var{b}, @var{n})
## Return the convolution of the vectors @var{a} and @var{b}, as a vector
## with length equal to the @code{length (a) + length (b) - 1}. If @var{a}
## and @var{b} 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.
## @end deftypefn
## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
## Created: 3 September 1994
## Adapted-By: jwe
function c = fftconv (a, b, N)
if (nargin < 2 || nargin > 3)
usage ("fftconv (b, x [, N])");
endif
if (! (is_vector (a) && is_vector (b)))
error ("fftconv: both a and b should be vectors");
endif
la = length (a);
lb = length (b);
if ((la == 1) || (lb == 1))
c = a * b;
else
lc = la + lb - 1;
a(lc) = 0;
b(lc) = 0;
if (nargin == 2)
c = fftfilt (a, b);
else
if !(is_scalar (N))
error ("fftconv: N has to be a scalar");
endif
c = fftfilt (a, b, N);
endif
endif
endfunction