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### C_CORRELATE

C_CORRELATE

The C_CORRELATE function computes the cross correlation Pxy(L) or cross covariance Rxy(L) of two sample populations X and Y as a function of the lag L  where x and y are the means of the sample populations x = (x0, x1, x2, ... , xN-1) and y = (y0, y1, y2, ... , yN-1), respectively.

This routine is written in the IDL language. Its source code can be found in the file c_correlate.pro in the lib subdirectory of the IDL distribution.

## Examples

`; Define two n-element sample populations:X = [3.73, 3.67, 3.77, 3.83, 4.67, 5.87, 6.70, 6.97, 6.40, 5.57]Y = [2.31, 2.76, 3.02, 3.13, 3.72, 3.88, 3.97, 4.39, 4.34, 3.95]; Compute the cross correlation of X and Y for LAG = -5, 0, 1, 5,; 6, 7:lag = [-5, 0, 1, 5, 6, 7] result = C_CORRELATE(X, Y, lag)PRINT, result`

IDL prints:

`-0.428246  0.914755  0.674547  -0.405140  -0.403100  -0.339685`

## Syntax

Result = C_CORRELATE( X, Y, Lag [, /COVARIANCE] [, /DOUBLE] )

## Return Value

Returns the cross correlation Pxy(L) or cross covariance Rxy(L) of two sample populations X and Y as a function of the lag L.

## Arguments

### X

An n-element integer, single-, or double-precision floating-point vector.

### Y

An n-element integer, single-, or double-precision floating-point vector.

### Lag

A scalar or n-element integer vector in the interval [-(n-2), (n-2)], specifying the signed distances between indexed elements of X.

## Keywords

### COVARIANCE

Set this keyword to compute the sample cross covariance rather than the sample cross correlation.

### DOUBLE

Set this keyword to force the computation to be done in double-precision arithmetic.

## Version History

 4 Introduced

## Resources and References

Wayne A. Fuller, Introduction to Statistical Time Series, Wiley-Interscience, December 1995 (ISBN 978-0471552390).