📄 wavez.m
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function [wavelet,tw]=wavez(dt,fdom,tlength)
% [wavelet,tw]=wavez(dt,fdom,tlength)
% [wavelet,tw]=wavez(dt,fdom)
% [wavelet,tw]=wavez(dt)
%
% WAVEZ returns a zero phase wavelet with a realistic amplitude spectrum
%
% dt= desired temporal sample rate
% fdom= dominant frequency in Hz (default: 15 Hz)
% tlength= wavelet length in seconds (default: 127*dt
% (ie a power of 2))
%
%
% by G.F. Margrave, July 1991
%
% NOTE: It is illegal for you to use this software for a purpose other
% than non-profit education or research UNLESS you are employed by a CREWES
% Project sponsor. By using this software, you are agreeing to the terms
% detailed in this software's Matlab source file.
% BEGIN TERMS OF USE LICENSE
%
% This SOFTWARE is maintained by the CREWES Project at the Department
% of Geology and Geophysics of the University of Calgary, Calgary,
% Alberta, Canada. The copyright and ownership is jointly held by
% its author (identified above) and the CREWES Project. The CREWES
% project may be contacted via email at: crewesinfo@crewes.org
%
% The term 'SOFTWARE' refers to the Matlab source code, translations to
% any other computer language, or object code
%
% Terms of use of this SOFTWARE
%
% 1) Use of this SOFTWARE by any for-profit commercial organization is
% expressly forbidden unless said organization is a CREWES Project
% Sponsor.
%
% 2) A CREWES Project sponsor may use this SOFTWARE under the terms of the
% CREWES Project Sponsorship agreement.
%
% 3) A student or employee of a non-profit educational institution may
% use this SOFTWARE subject to the following terms and conditions:
% - this SOFTWARE is for teaching or research purposes only.
% - this SOFTWARE may be distributed to other students or researchers
% provided that these license terms are included.
% - reselling the SOFTWARE, or including it or any portion of it, in any
% software that will be resold is expressly forbidden.
% - transfering the SOFTWARE in any form to a commercial firm or any
% other for-profit organization is expressly forbidden.
%
% END TERMS OF USE LICENSE
if(nargin<3)
tlength=127.*dt;
end
if(nargin<2)
fdom=15.;
end
% create a time vector
nt=tlength/dt+1;
nt=2.^nextpow2(nt);
tmax=dt*(nt)/2;
tw=xcoord(-tmax,dt,nt);
fnyq=1./(2*(tw(2)-tw(1)));
f=linspace(0.,fnyq,length(tw)/2+1);
% create the amplitude spectrum spectrum
aspec=tntamp(fdom,f);
% inverse transform
wavelet=ifftrl(aspec,f);
wavelet=fftshift(wavelet);
% now normalize the wavelet
%maxw=max(wavelet);
% generate a refenence sinusoid at the dominant frequency
refwave=sin(2*pi*fdom*tw);
reftest=convz(refwave,wavelet);
fact=max(refwave)/max(reftest);
wavelet=wavelet*fact;
% make sure we don't return the Fourier pad if it was not asked for
ind=between(-tlength/2,tlength/2,tw,2);
wavelet=wavelet(ind);
tw=tw(ind);
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