/usr/share/octave/packages/signal-1.3.2/gaussian.m is in octave-signal 1.3.2-1+b1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 | ## Copyright (C) 1999 Paul Kienzle <pkienzle@users.sf.net>
##
## This program 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.
##
## This program 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
## this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {} gaussian (@var{m})
## @deftypefnx {Function File} {} gaussian (@var{m}, @var{a})
##
## Return a Gaussian convolution window of length @var{m}. The width of the
## window is inversely proportional to the parameter @var{a}. Use larger
## @var{a} for a narrower window. Use larger @var{m} for longer tails.
##
## w = exp ( -(a*x)^2/2 )
##
## for x = linspace ( -(m-1)/2, (m-1)/2, m ).
##
## Width a is measured in frequency units (sample rate/num samples).
## It should be f when multiplying in the time domain, but 1/f when
## multiplying in the frequency domain (for use in convolutions).
## @end deftypefn
function w = gaussian (m, a)
if (nargin < 1 || nargin > 2)
print_usage ();
elseif (! (isscalar (m) && (m == fix (m)) && (m > 0)))
error ("gaussian: M must be a positive integer");
elseif (nargin == 1)
a = 1;
endif
w = exp(-0.5*(([0:m-1]'-(m-1)/2)*a).^2);
endfunction
%!assert (gaussian (1), 1)
%% Test input validation
%!error gaussian ()
%!error gaussian (0.5)
%!error gaussian (-1)
%!error gaussian (ones (1, 4))
%!error gaussian (1, 2, 3)
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