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## Copyright (C) 2007 Sylvain Pelissier <sylvain.pelissier@gmail.com>
##
## 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; see the file COPYING. If not, see
## <https://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {} bohmanwin (@var{m})
## Return the filter coefficients of a Bohman window of length @var{m}.
## @seealso{rectwin, bartlett}
## @end deftypefn
function w = bohmanwin (m)
if (nargin != 1)
print_usage ();
elseif (! (isscalar (m) && (m == fix (m)) && (m > 0)))
error ("bohmanwin: M must be a positive integer");
endif
if (m == 1)
w = 1;
else
N = m - 1;
n = -N/2:N/2;
w = (1-2.*abs(n)./N).*cos(2.*pi.*abs(n)./N) + (1./pi).*sin(2.*pi.*abs(n)./N);
w(1) = 0;
w(length(w))=0;
w = w';
endif
endfunction
%!assert (bohmanwin (1), 1)
%!assert (bohmanwin (2), zeros (2, 1))
%% Test input validation
%!error bohmanwin ()
%!error bohmanwin (0.5)
%!error bohmanwin (-1)
%!error bohmanwin (ones (1, 4))
%!error bohmanwin (1, 2)
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