cross-correlation


Also found in: Dictionary, Acronyms, Wikipedia.
Related to cross-correlation: Autocorrelation, convolution

cross-correlation

[′krȯs kär·ə′lā·shən]
(statistics)
Correlation between corresponding members of two or more series: if q1, …, qn and r1, …, rn are two series, correlation between qi and ri, or between qi and ri + j (for fixed j), is a cross correlation.
Correlation between or expectation of the inner product of two series of random variables, where the difference in indices between the corresponding values of the two series is fixed.
References in periodicals archive ?
For discrete functions f and g, the cross-correlation between them is defined as
Essentially, the cross-correlation function attempts to match the progression of image features from frame to frame.
The cross-correlation function is shown in formula (9).
The interdependencies between pairs of measured parameters, which are flow-([Q.sub.in]-) pressure ([P.sub.ms]), flow-([Q.sub.in]-) turbidity ([TB.sub.ms]), flow-([Q.sub.in]-) particle count ([PC.sub.ms]), and turbidity-([TB.sub.ms]-) particle count ([PC.sub.ms]), are shown in terms of cross-correlation functions with respect to lag times in Figure 5.
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 cross-correlation analysis showed significant positive correlation between Ap and Tayside MS incidence (1970-1999) at a lag of 2 years ([r.sub.s] = 0.38 p < 0.05) (Figure 5).
Averaged (across time) peak cross-correlation coefficients between the vastus lateralis and vastus medialis for each subject and wavelet band.
The next charts (figs.1-8) show the most important cross-correlations between vocal parameters:
The cross-correlation analysis (of CORA) between the THOR dummy responses (baseline simulations and experimental tests) and PMHS average responses were presented with average values of Magnitude (Figure 20), Shape (Figure 21), and Phase shift (Figure 22).
Kato et al., "Visualization of epileptogenic phenomena using cross-correlation analysis: localization of epileptic foci and propagation of epileptiform discharges," IEEE Transactions on Biomedical Engineering, vol.
For an arbitrary pair of De Bruijn sequences [a.sub.i] and [a.sub.j], i [not equal to] j , of span n and period N, the following bound on the periodic cross-correlation function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] holds: