amtriang.m

用于信号处理里面的时频分析

function y = amtriang(N,t0,T);
%AMTRIANG Generate triangular amplitude modulation.
%	Y = AMTRIANG(N,T0,T) generates a triangular amplitude modulation 
%	centered on a time T0, and with a spread proportional to T.
%	This modulation is scaled such that Y(T0)=1.
% 
%	N  : number of points.
%	T0 : time center		(default : N/2).
%	T  : time spreading		(default : 2*sqrt(N)).
%	Y  : signal.
%
%	Examples:
%	 z=amtriang(160);plot(z);
%	 z=amtriang(160,90,40);plot(z);
%	 z=amtriang(160,180,50);plot(z);
%
%	See also AMEXPO1S, AMEXPO2S, AMGAUSS, AMRECT.

%	F. Auger, July 1995.
%	Copyright (c) 1996 by CNRS (France).
%
%  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 2 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, write to the Free Software
%  Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA

if (nargin == 0),
 error ( 'The number of parameters must be at least 1.' );
elseif (nargin == 1),
 t0=N/2; T=2*sqrt(N);
elseif (nargin ==2),
 T=2*sqrt(N);
end;

if (N<=0),
 error('N must be greater or equal to 1.');
else
 tmt0=(1:N)'-t0;
 L=sqrt(10.0/pi)*T/2.0;
 y = max(0.0,min([L+tmt0';L-tmt0']))'/L;
end;