📄 auto.m
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function a = auto(v,n,flag)
% AUTO: single-sided autocorrelation
%
% a=auto(v,n,flag)
% a=auto(v,n)
% a=auto(v)
%
% auto computes n lags of the one sided autocorrelation of
% the vector 'v'. The first lag, a(1), is termed the 'zeroth lag'
%
% v= input vector
% n= number of lags desired (can be no larger than length(v)).
% ********* default =length(v) *********
% 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, May 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
if (nargin==1)
n=length(v);
flag=1.0;
end
%
% master loop
%
[l,m]=size(v);
done=0;
% for row vectors
if l==1
u=v';
for k=1:n
a(k)=v*u;
v=[0.0 v(1:length(v)-1)];
end
done=1;
end
% for column vectors
if m==1
u=v';
for k=1:n
a(k)=u*v;
u=[0.0 u(1:length(u)-1)];
end
done=1;
end
if done==0
error(' input not a vector')
end
% normalize
if flag==1.0
a=a/max(a);
end
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