1 ## Copyright (C) 2007 Sylvain Pelissier <sylvain.pelissier@gmail.com>
3 ## This program is free software; you can redistribute it and/or modify it under
4 ## the terms of the GNU General Public License as published by the Free Software
5 ## Foundation; either version 3 of the License, or (at your option) any later
8 ## This program is distributed in the hope that it will be useful, but WITHOUT
9 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
10 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
13 ## You should have received a copy of the GNU General Public License along with
14 ## this program; if not, see <http://www.gnu.org/licenses/>.
17 ## @deftypefn {Function File} {[@var{y}] =} gauspuls(@var{t},@var{fc},@var{bw})
18 ## Return the Gaussian modulated sinusoidal pulse.
21 function [y] = gauspuls(t, fc = 1e3, bw = 0.5)
22 if nargin<1, print_usage; end
23 if fc < 0 , error("fc must be positive"); end
24 if bw <= 0, error("bw must be stricltly positive"); end
26 fv = -(bw.^2.*fc.^2)/(8.*log(10.^(-6/20)));
27 tv = 1/(4.*pi.^2.*fv);
28 y = exp(-t.*t/(2.*tv)).*cos(2.*pi.*fc.*t);