📄 wwowf.m
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function [wavelet,tw,pseudo]=wwowf(trin,t,fsmoth,flag)
% [wavelet,tw]=wwowf(trin,t,fsmoth,flag)
%
% WWOWF performs the 'wwow' method of wavelet extraction which
% is identical to a single channel BOOT. The final wavelet is
% estimated by a frequency domain match filter
%
% trin= input trace
% t= time coordinate for input trace
% fsmoth= length of frequency smoother in Hz.
% flag=0 ... smooth the filter spectrum prior to inverse transform
% =1 ... smooth the spectra of trin and trdsign before division
% =2 ... both 0 and 2
% ********* default= 0 ********
% wavelet= output wavelet
% tw= time coordinate for wavelet
%
% 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<4, flag=0;end
% get the hilbert mask
[mask,htrin]=hmask(trin);
% find the constant phase rotation
hsum=maxima(htrin,mask);
% iex=find(mask==1);
% hsum=htrin(iex);
top= 2.*sum(real(hsum).*imag(hsum));
bot= sum(imag(hsum).^2-real(hsum).^2);
theta=.5*atan2(top,bot);
% test theta and theta+pi/2
trot1=phsrot(trin,theta*180/pi);
trot2=phsrot(trin,(theta+pi/2)*180/pi);
rms1=norm(trot1.*mask);
rms2=norm(trot2.*mask);
if rms2>rms1, theta=theta+pi/2; trot1=trot2; end
% compute the pseudo reflectivity
pseudo=mask.*trot1;
wavelet=theta*180/pi;
%
% match filter for the wavelet
%
[wavelet,tw]=matchf(pseudo,trin,t,fsmoth,flag);
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