📄 fmstep.asv
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function y=fmstep(N,N0,Tp,fnormi,fnormf,t0);
%FMLIN Signal with linear frequency modulation.
% Y=FMLIN(N,FNORMI,FNORMF,T0) generates a linear frequency
% modulation.
% The phase of this modulation is such that Y(T0)=1.
%
% N : number of points
% N0 : number of impulses (default: 4)
% Tp : width of impulse (default: N/(N0*2))
% FNORMI : initial normalized frequency (default: 0.0)
% FNORMF : final normalized frequency (default: 0.5)
% T0 : time reference for the phase (default: Tp/2).
% Y : signal
%
% Example :
% z=fmstep(1024,4,200,0.05,0.5,100);
% plot(real(z));
%
% see also FMCONST, FMSIN, FMODANY, FMHYP, FMPAR, FMPOWER.
% 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),
N0=4;Tp=round(N/(N0*2));fnormi=0.0; fnormf=0.5; t0= round(Tp/2);
elseif (nargin == 2),
Tp=round(N/(N0*2));fnormi=0.0; fnormf=0.5; t0= round(Tp/2);
elseif (nargin == 3),
fnormi=0.0; fnormf=0.5; t0= round(Tp/2);
elseif (nargin == 4),
fnormf=0.5; t0= round(Tp/2);
elseif (nargin == 5),
t0= round(Tp/2);
end;
if (N <= 0),
error ('The signal length N must be strictly positive' );
elseif (abs(fnormi) > 0.5) | (abs(fnormf) > 0.5),
error ( 'fnormi and fnormf must be between -0.5 and 0.5' ) ;
elseif Tp>(N/N0),
error ( 'Tp must lower than (N/N0)' ) ;
else
step=(fnormf-fnormi)/N0;
k=step/(Tp-1);
for i=0:(N0-1)
for t = (1+i*N/N0):(Tp+i*N/N0)
x(t) = (fnormi+i*step)*(t-i*N/N0-t0) + (k/2) * ((t-i*N/N0-1).^2 - (t0-1).^2);
y(t) = exp(j*2.0*pi*x(t)) ;
end
for t= (Tp+i*N/N0+1):((1+i)*N/N0)
y(t)=0;
end
end
y=y.';
if (nargout==2)
for i=0:(N0-1)
for t = (1+i*N/N0):(Tp+i*N/N0)
iflaw(t) = (fnormi+i*step)*(t-i*N/N0-t0) + (k/2) * ((t-i*N/N0-1).^2 - (t0-1).^2);
end
for t= (Tp+i*N/N0+1):((1+i)*N/N0)
y(t)=0;
end
end
end
end
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