📄 equa3c.m,v
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head 3.0;access;symbols;locks; strict;comment @// @;3.0date 2000.06.13.19.20.13; author gilles; state Exp;branches;next ;desc@Release 3@3.0log@*** empty log message ***@text@function [dataout]=equa3c(datain,fmin,fmax,fwind,taper,window)%[dataout]=equa3c(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 which%preserves the amplitude ratio between components 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 G. Bellefleur March, 2000 %based on equa.m written by K.S. Beaty January, 1998%$Id:$%$Log:$%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]=equa3c(datain,fmin,fmax,fwind,taper,window)');dataout=datain;temp=datain;npts=datain.fh{7}; %number of points in each traceint=datain.fh{8}; %sampling interval in secondststart=datain.fh{9}; %start time in secondsnrec=datain.fh{12}; %number of records%initialize dataout.datfor COUNT=1:nrec dataout.dat{COUNT}(:,:)=0; temp.dat{COUNT}(:,:)=0;end Ny=1./(int.*2); %Nyquist frequencyN=2^(nextpow2(npts)+1); %number of points to be used in fftf=2*Ny*(0:N/2-1)/N; %frequency vectornfreq=(taper+fmax-fmin)./(taper+fwind);nfreq=round(nfreq);%create and initialize filter function in frequency domainx=[0 0 1 1 0 0];filt=zeros(N,1);for 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' is filter function in frequency domain filt(1:N/2)=m; m2=fliplr(m); filt(N/2+1)=0; filt(N/2+2:N)=m2(1:length(m2)-1); for COUNT=1:nrec % begin 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 temp.dat{COUNT}=real(out(1:npts,:)); % assign filtered data to temp end % end loop over records % apply agc3c freq_agc=agc3c(temp,window,1); % add balanced frequencyfor COUNT=1:nrec dataout.dat{COUNT}=dataout.dat{COUNT}+freq_agc.dat{COUNT}; end% 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'); endend %loop over frequency windows@
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