📄 klauder.m
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function x=klauder(N,lambda,f0)%KLAUDER Klauder wavelet in time domain.% X=KLAUDER(N,LAMBDA,F0) generates the KLAUDER wavelet % in the time domain% K(f) = e^{-2.pi.LAMBA.f} f^{2.pi.LAMBDA.F0-1/2} %% N : number of points in time % LAMBDA : attenuation factor or the envelope (default : 10)% F0 : central frequency of the wavelet (default : 0.2)% X : time row vector containing the klauder samples.%% Example : % x=klauder(128); plot(x);%% See also ALTES, ANASING, DOPPLER, ANAFSK, ANASTEP. % P. Goncalves 9-95% Copyright (c) 1995 Rice University%% ------------------- CONFIDENTIAL PROGRAM -------------------- % This program can not be used without the authorization of its% author(s). For any comment or bug report, please send e-mail to % f.auger@ieee.org if (nargin == 0), error ( 'The number of parameters must be at least 1.' );elseif (nargin == 1), f0=0.2; lambda=10;elseif (nargin ==2), f0=0.2;end;if (N<=0), error('N must be greater or equal to 1.');elseif (f0 > 0.5) | (f0 < 0), error('f0 must be between 0 and 0.5') ;else f = linspace(0,0.5,N/2+1) ; mod = exp(-2*pi*lambda*f).*f.^(2*pi*lambda*f0-0.5) ; wave = mod; wave(1)=0 ; wave = [wave(1:N/2) fliplr(wave(2:N/2+1))] ; wavet=ifft(wave) ; wavet = fftshift(wavet) ; x = real(wavet).'/norm(wavet) ; end
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