📄 tozero.m
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function [wzero,tw]=tozero(wavelet,twin)
% TOZERO Converts wavelet to all-pass equivalent
% [wzero,tw]=tozero(wavelet,twin)
% wzero=tozero(wavelet)
%
% TOZERO uses FFT to capture the amplitude spectrum of an
% arbitrary wavelet and outputs an 'all pass' equivalent.
%
% wavelet= input waveform to be converted
% twin= input time coordinate
% wzero= output all pass wavelet
% tw= output time coordinate. twin must be supplied for this
% to be computed
%
% note: this result is never causal, use CONVZ to apply
% it (default time zero to length(winv)/2)
%
% by G.F. Margrave, June 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<2, twin=xcoord(0.,.002,wavelet); end
lw=length(wavelet);
[rw,cw]=size(wavelet);
wavelet=wavelet(:);
wavelet=padpow2(wavelet);
% fft
Wlet=fft(wavelet);
Imp=fft(impulse(wavelet));
A=abs(Wlet);
wzero=real(ifft(A.*Imp));
% grab central lw samples
lw2=length(wavelet);
wzero=wzero( round(lw2/2-lw/2+1):round(lw2/2+lw/2) ).*mwindow(lw);
% make time vector
if nargin==2
n=floor(length(wzero)/2);
dt=twin(2)-twin(1);
tw=xcoord(-(n-1)*dt,dt,wzero);
end
if(rw==1)wzero=wzero';end
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