📄 ormsby.m
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function fa=ormsby(a,dt,f1,f2,f3,f4)% Function filters input array in the frequency domain with % trapezoidal filter with corner frequencies f1, f2, f3, f4. To reduce end effects% the function doubles the number of rows of "a" by appending zeros. These zeros% are removed prior to output. % The function is for internal use and performs no error checking%% Written by: E. R.: May 2001% Last updated: November 27, 2004: quadruple (from double) the filter length for spectrum calculation%% fa=ormsby(a,dt,f1,f2,f3,f4)% INPUT% a input array; each column represents a seismic trace% dt sample interval in ms% f1 f2 f3 f4 corner frequencies (0 <= f1 <= f2 <= f3 <= f4 <= fnyquist)% OUTPUT% fa filtered input arraynn=size(a,1);n=4*nn;nh=2*nn;fnyquist=500/dt; df=2*fnyquist/n;% Compute trapezoidal window to apply to spectrumtrapez=zeros(n,1);f=0:df:fnyquist;idx=find(f >= f1 & f <= f4);f=f(idx);eps1000=1000*eps;b1=(f-f1+eps1000)/(f2-f1+eps1000);b2=ones(1,length(b1));b3=(f4-f+eps1000)/(f4-f3+eps1000);trapez(idx)=min([b1;b2;b3]);trapez(n:-1:n-nh+2)=trapez(2:nh);% Compute FFT, apply trapezoidal window, and perform inverse FFT.fa=fft(a,n);%gh=fa.*trapez(:,ones(1,m));gh=vmt(fa,trapez);fa=ifft(gh);% Discard appended zeros and imaginary part (if the input data are real)if isreal(a) fa=real(fa(1:nn,:));else fa=fa(1:nn,:);end
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