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########################################################################
##
## Copyright (C) 1995-2024 The Octave Project Developers
##
## See the file COPYRIGHT.md in the top-level directory of this
## distribution or <https://octave.org/copyright/>.
##
## 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
## <https://www.gnu.org/licenses/>.
##
########################################################################
## -*- texinfo -*-
## @deftypefn {} {@var{savg} =} spencer (@var{x})
## Return @nospell{Spencer's} 15-point moving average of each column of
## @var{x}.
## @end deftypefn
function savg = spencer (x)
if (nargin != 1)
print_usage ();
endif
[xr, xc] = size (x);
n = xr;
c = xc;
if (isvector (x))
n = length (x);
c = 1;
x = reshape (x, n, 1);
endif
w = [-3, -6, -5, 3, 21, 46, 67, 74, 67, 46, 21, 3, -5, -6, -3] / 320;
savg = fftfilt (w, x);
savg = [zeros(7,c); savg(15:n,:); zeros(7,c);];
savg = reshape (savg, xr, xc);
endfunction
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