📄 equa.m,v
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head 3.0;access;symbols;locks; strict;comment @// @;3.0date 2000.06.13.19.20.12; author gilles; state Exp;branches;next 2.0;2.0date 99.05.21.18.45.33; author mah; state Exp;branches;next 1.1;1.1date 99.01.06.19.09.03; author kay; state Exp;branches;next ;desc@@3.0log@Release 3@text@function [dataout]=equa(datain,fmin,fmax,fwind,taper,window)%[dataout]=equa(datain,fmin,fmax,fwind,taper,window)%%Performs spectral balancing using a sliding frequency window linear bandpass%filter with tapers overlapping at the half way point. An agc is applied to%each filtered signal and the frequency ranges are then recombined. Similar%to INSIGHT module EQUA.%%fmax, fmin = maximum and minimum frequencies in the data (Hz)%fwind = width of each bandpass filter to be applied (Hz)%taper = width of linear taper of each bandpass filter (Hz) (around 2-5 Hz)%window = length of agc window to be used (s)%%DSI customized VSP processing software%written by K.S. Beaty January, 1998%$Id: equa.m,v 2.0 1999/05/21 18:45:33 mah Exp gilles $%$Log: equa.m,v $%Revision 2.0 1999/05/21 18:45:33 mah%Release 2%%Revision 1.1 1999/01/06 19:09:03 kay%Initial revision%%%Copyright (C) 1998 Seismology and Electromagnetic Section/%Continental Geosciences Division/Geological Survey of Canada%%This library is free software; you can redistribute it and/or%modify it under the terms of the GNU Library General Public%License as published by the Free Software Foundation; either%version 2 of the License, or (at your option) any later version.%%This library is distributed in the hope that it will be useful,%but WITHOUT ANY WARRANTY; without even the implied warranty of%MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU%Library General Public License for more details.%%You should have received a copy of the GNU Library General Public%License along with this library; if not, write to the%Free Software Foundation, Inc., 59 Temple Place - Suite 330,%Boston, MA 02111-1307, USA.%%DSI Consortium%Continental Geosciences Division%Geological Survey of Canada%615 Booth St.%Ottawa, Ontario%K1A 0E9%%email: dsi@@cg.nrcan.gc.cadisp('[dataout]=equa(datain,fmin,fmax,fwind,taper,window)');tstart=datain.fh{9}; %start time in secondsint=datain.fh{8}; %sampling interval in seconds%convert agc 'window' from seconds to indexesw=round(window./int)+1;pt=round(w/2); %index of point in the centre of the windowNy=1./(int.*2); %Nyquist frequencynpts=datain.fh{7}; %number of points in each traceN=2^(nextpow2(npts)+1); %number of points to be used in fftf=2*Ny*(0:N/2-1)/N; %frequency vector%create filter function in frequency domainx=[0 0 1 1 0 0];filt=zeros(N,1); %initialize filter vectorif w==npts pt=npts;elseif w>npts %error check for agc error('choose a smaller window')end %if/elsenfreq=(taper+fmax-fmin)./(taper+fwind);nfreq=round(nfreq);nrec=datain.fh{12}; %number of recordsdataout=datain;for COUNT=1:nrec dataout.dat{COUNT}(:,:)=0; %initialize dataout.datend %loop over recordsfor k=1:nfreq low=fmin+(k-1).*(fwind+taper); high=low+fwind;%======================================= xf=[0 (low-taper) low high (high+taper) f(N/2)]; m=interp1(xf,x,f); filt(1:N/2)=m; m2=fliplr(m); filt(N/2+1)=0; filt(N/2+2:N)=m2(1:length(m2)-1); %'filt' is filter function in frequency domain for COUNT=1:nrec %loop over records ntr=datain.th{COUNT}(12,1); %number of traces in this record filtmat=ndgrid(filt,1:ntr); %create filter matrix in_freq=fft(datain.dat{COUNT},N); %performs N points fft on columns out_freq=zeros(N,ntr); %initialize out_freq=in_freq.*filtmat; %multiply in freq. domain out=ifft(out_freq,N); %N points inverse fft freq=real(out(1:npts,:));%============apply agc================= fact=sum(abs(freq(1:w,:)))./w; factgr=meshgrid(fact,1:pt); freq_agc(1:pt,:)=freq(1:pt,:)./factgr; for k=1:npts-w; fact=fact-abs(freq(k,:))./w+abs(freq(k+w,:))./w; freq_agc(k+pt,:)=freq(k+pt,:)./fact; end %for i=npts-w+1:npts; factgr=meshgrid(fact,i); freq_agc(i,:)=freq(i,:)./factgr;%====================================== dataout.dat{COUNT}=dataout.dat{COUNT}+freq_agc; %add balanced frequency end %loop over records %error check re=real(out(1:npts,1)); im=imag(out(1:npts,1)); for i=npts:-1:1 rat(i)=im(i)./re(i); end; r=find(rat>10^-6); if ~ isempty(r) error('imaginary part of inverse fft is too large'); end %ifend %loop over frequency windows@2.0log@Release 2@text@d18 1a18 1%$Id: equa.m,v 1.1 1999/01/06 19:09:03 kay Exp mah $d20 3@1.1log@Initial revision@text@d18 4a21 2%$Id:$%$Log:$d23 1@
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