📄 toinv.m
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function winv=toinv(wavelet,stab,n)
% TOINV inverts an arbitrary waveform using match filtering
% winv= toinv(wavelet,stab,n)
% winv= toinv(wavelet,stab)
% winv=toinv(wavelet)
%
% TOINV uses match filtering to invert an arbitrary waveform.
% For a band limited inverse, simply follow this by a filter.
% A stab factor is supplied to avoid instabilities caused by
% division by small numbers.
%
% Note: This inverse is always causal and should be applied
% with CONV or CONVM. Sometimes a better, though
% non-causal, inverse is obtained by TOINVF.
%
% wavelet= input waveform to be converted
% stab= stab factor to be used expressed as a fraction of the
% peak of the amplitude spectrum
% **** default = .001 ****
% n= length of inverse operator
% **** default = length(wavelet) ****
% winv= output inverse 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<3, n=length(wavelet);end
if(nargin<2)
stab=.001;
end
Wlet=fft(wavelet);
bground=stab*max(abs(Wlet));
wavelet=real(ifft(Wlet+bground));
winv=zeros(1,round(n));
tw=xcoord(0.,.004,winv);
winv=match(wavelet,impulse(wavelet,1),tw,max(tw),1);
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