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fftconv.m
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1996-09-28
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# Copyright (C) 1995 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, 675 Mass Ave, Cambridge, MA 02139, USA.
function c = fftconv (a, b, N)
# usage: fftconv (a, b [, N])
#
# c = fftconv (a, b) returns the convolution of the vectors a and b,
# a vector with length equal to length (a) + length (b) - 1.
# If a and b are the coefficient vectors of two polynomials, c is
# the coefficient vector of the product polynomial.
#
# The computation uses the FFT by calling fftfilt. If the optional
# argument N is specified, an N-point FFT is used.
# Written by KH (Kurt.Hornik@ci.tuwien.ac.at) on Sep 3, 1994.
if (nargin < 2 || nargin > 3)
usage ("fftconv (b, x [, N])");
endif
if (is_matrix (a) || is_matrix (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