# cross-correlation function

Also found in: Acronyms.

## cross-correlation function

See autocorrelation function.

## cross-correlation function

[′krȯs kär·ə′lā·shən ‚fəŋk·shən]
(communications)
A function, φ12(τ), where τ is a time-delay parameter, equal to the limit, as T approaches infinity, of the reciprocal of 2 T times the integral over t from -T to T of f1(t) f2(t - τ), where f1 and f2 are functions of time, such as the input and output of a communication system.
References in periodicals archive ?
In the formula, vector [R.sup.xr.sub.r0] consists of data from the state cross-correlation function.
Cross-correlation function operates on signals that, for their origin, are noisy and holey.
To do so, an array y was introduced to store the variance of the cross-correlation function R on each row:
Based on the elements of a rich dynamics, the internal interaction between the background components occurs in time and space; the cross-correlation function can be used to produce maps in time and space; time is represented by the lag order, being a normalized parameter that is proportional to time, and the blade number represents space.
The full set of 2048 De Bruijn sequences provides up to 227103 periodic cross-correlation functions that exhibit a ZCZ of variable length.
The normilized cross-correlation function is highly recommended for template matching (Briechle, Hanebeck 2001);
The weak cross-correlation function means that the cross-correlation function value of two sequences is approximate to zero.
The values range of cross-correlation function N(i,j) is 0 [less than or equal to] N(i, j) [less than or equal to] 1, and its value is determined by the matching degree of search image region and template image using (i, j) as the pixel at top-left corner.
where: [A.sub.0]--the time-zero-order correlation function; [B.sub.0] and [B.sub.1]--respectively, the moments of zero and first order cross-correlation function.
When estimating a cross-correlation function to the citywide data, the absenteeism time series correlated most strongly with the fever/ influenza syndrome time series at a 2-day lag (pH1N1 period, r = 0.550; entire study period, r = 0.213), indicating that changes in absenteeism were most strongly correlated with changes in fever/influenza syndrome visits 2 days earlier.
For two series [x.sub.t] and [y.sub.t], the cross-correlation function is
The degree of inter-limb coupling during performance was assessed by calculating the Cross-Correlation Function (CCF) between the angular displacement signals of the two lower limbs (Fig.

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