📄 auto2.m
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function a = auto2(v,flag)
% AUTO2: returns the two-sided autocorrelation
%
% a=auto2(v,flag)
% a=auto2(v)
%
% auto computes the two sided autocorrelation of
% the vector 'v'. The 'zeroth lag' is at length(v)-1. This
% routine will correctly handle an ensemble matrix.
%
% v= input vector
% flag= 1.0 ... normalize the 'zero lag' (first returned value)
% to 1.0.
% anything else ... don't normalize
% ******* default =1.0 ******
%
% NOTE: A two sided autocorrelation or a cross correlation can be
% computed with XCORR in the signal toolbox.
%
% 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
% set defaults
if (nargin<2)
flag=1.0;
end
%
%
nvecs=min(size(v));
if nvecs==1,
a=conv(v,tr(v,1));
% normalize
if flag==1.0
a=a/max(a);
end
else
[rows,cols]=size(v);
if rows>cols, v=v.'; [rows,cols]=size(v); end
a=zeros(rows,2*cols-1);
if flag==1,
for k=1:rows,
a(k,:)=conv(v(k,:),tr(v(k,:),1));
a(k,:)=a(k,:)/max(a(k,:));
end
else
for k=1:rows,
a(k,:)=conv(v(k,:),tr(v(k,:),1));
end
end
end
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