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Circular Cross Correlation

4.8 | 8 ratings Rate this file 28 Downloads (last 30 days) File Size: 1.62 KB File ID: #4810 Version: 1.0
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Circular Cross Correlation


G. Levin (view profile)


26 Apr 2004 (Updated )

Circular Cross Correlation function estimate.

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CXCORR Circular Cross Correlation function estimates.
CXCORR(a,b), where a and b represent samples taken over time interval T which is assumed to be a common period of two corresponding periodic signals.

a and b are supposed to be length M row vectors, either real or complex.
[x,c]=CXCORR(a,b) returns the length M-1 circular cross correlation sequence c with corresponding lags x.
The circular cross correlation is:
          c(k) = sum[a(n)*conj(b(n+k))]/[norm(a)*norm(b)];
where vector b is shifted CIRCULARLY by k samples.

The function doesn't check the format of input vectors a and b!

For circular covariance between a and b look for CXCOV(a,b) in

A. V. Oppenheim, R. W. Schafer and J. R. Buck, Discrete-Time Signal Processing, Upper Saddler River, NJ : Prentice Hall, 1999.

Author: G. Levin, April 2004.


This file inspired Fast Circular (Periodic) Cross Correlation and Circular Statistics Toolbox (Directional Statistics).

MATLAB release MATLAB 6.5 (R13)
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Comments and Ratings (13)
14 Feb 2017 Stanislav

25 Dec 2016 xn Ruan

04 Apr 2016 Andrew Bazyk

I'm also wondering why the mean of a and b are not subtracted. Please let me know if you can explain.

Comment only
11 Aug 2015 Abbas Ahmed

If i want to use zadoff chu sequence is anyone knows how i can make it. if i donot want to use ltezadoffchu command

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20 Jan 2015 priya p

why are you take the values (25,29,34) in zadoff sequenc(lte)

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11 Feb 2012 Irine

Irine (view profile)

I'm sorry, but I don't understand how it works too (about the means of a and b) can you give an example, please..

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04 Oct 2011 julien

julien (view profile)

my mistake ! ignore the preceding comment !
(row vectors..)

04 Oct 2011 julien

julien (view profile)

I'm surprised it is not working only for me.. I get that :

??? In an assignment A(I) = B, the number of elements in B and
I must be the same.

Error in ==> cxcorr at 30

.. what's is happening ?

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10 Sep 2009 Paul Lin

How come the mean of a and b are not subtracted before divided by norm? I'm assuming the result is a normalized norm , please corect me if I'm wrong.

23 Mar 2008 Steffen B.

Very useful for my term project, thanks.

19 Apr 2006 §õ ©_À·

try it

17 Jan 2006 m g

09 Jun 2004 Neil King

Excellent, this is exactly what i was looking for!!! Ive been trying to correlate optical field profiles and this is the best tool that ive found

10 Jun 2004

Misspell correction

16 Aug 2004

Misspell correction.
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