What does cross-correlation mean?
Definitions for cross-correlation
cross-cor·re·la·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word cross-correlation.
Wiktionary
cross-correlationnoun
A notion used across various fields of scientific study that shows the relation between members of two or more groups of data.
Wikidata
Cross-correlation
In signal processing, cross-correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them. This is also known as a sliding dot product or sliding inner-product. It is commonly used for searching a long-signal for a shorter, known feature. It also has applications in pattern recognition, single particle analysis, electron tomographic averaging, cryptanalysis, and neurophysiology. For continuous functions, f and g, the cross-correlation is defined as: where f * denotes the complex conjugate of f. Similarly, for discrete functions, the cross-correlation is defined as: The cross-correlation is similar in nature to the convolution of two functions. In an autocorrelation, which is the cross-correlation of a signal with itself, there will always be a peak at a lag of zero unless the signal is a trivial zero signal. In probability theory and statistics, correlation is always used to include a standardising factor in such a way that correlations have values between −1 and +1, and the term cross-correlation is used for referring to the correlation corr between two random variables X and Y, while the "correlation" of a random vector X is considered to be the correlation matrix between the scalar elements of X.
Numerology
Chaldean Numerology
The numerical value of cross-correlation in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of cross-correlation in Pythagorean Numerology is: 6
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"cross-correlation." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/cross-correlation>.
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