📄 ensemble.m
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function [x,tx,a,ta,w,tw]=ensemble(ntraces,nsamps,dt,fdom)
% [x,tx,a,ta,w,tw]=ensemble(ntraces,nsamps)
%
% ENSEMBLE generates an ensemble (profile) of synthetic traces
% for use with ensemble averaging experiments
%
% ntraces= number of rows in the matricies x and a
% nsamps= number of columns in x, keep this a power of 2!!
% dt= time sample rate desired on output
% fdom= dominant frequency of the waveform
% x= an ntraces by nsamps matrix of gaussian random noise where
% each row has been convolved with the waveform w.
% tx= time coordinate vector for x
% a= the two-sided autocorrelation matrix of x, ntraces by 2*nsamps
% (There is an extra sample added to keep things a power of two)
% ta= time coordinate vector for a
% w= minimum phase waveform with a dominant frequency of fdom
% tw= time coordinate vector for w
%
% by G.F. Margrave, July, 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, fdom=15;end
if nargin<3, dt=.002;end
if nargin<2, nsamps=256;end
if nargin<1, ntraces=20;end
% generate the random matrix
mtx=randn(ntraces,nsamps);
tx=xcoord(0.,dt,mtx(1,:));
% generate the wavelet
nw=nsamps;
[w,tw]=wavemin(dt,fdom,(nw-1)*dt);
% convolve them to get x
x=convm(mtx,w);
% autocorrelate x
a=auto2(x);
ta=xcoord(-max(tx),dt,a(1,:));
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