File: shanwavf.m

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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} {[@var{psi}, @var{x}] =} shanwavf (@var{lb}, @var{ub}, @var{n}, @var{fb}, @var{fc})
## Compute the Complex Shannon wavelet.
## @end deftypefn

function [psi,x] = shanwavf (lb,ub,n,fb,fc)

  if (nargin < 5)
    print_usage;
  elseif (n <= 0 || floor(n) ~= n)
    error("n must be an integer strictly positive");
  elseif (fc <= 0 || fb <= 0)
    error("fc and fb must be strictly positive");
  endif

  x = linspace(lb,ub,n);
  psi = (fb.^0.5).*(sinc(fb.*x).*exp(2.*i.*pi.*fc.*x));

endfunction