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- Cross-correlation abstract "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 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 and is the time lag.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(X, Y) between two random variables X and Y, while the "correlation" of a random vector X is considered to be the correlation matrix (matrix of correlations) between the scalar elements of X.If and are two independent random variables with probability density functions f and g, respectively, then the probability density of the difference is formally given by the cross-correlation (in the signal-processing sense) however this terminology is not used in probability and statistics. In contrast, the convolution (equivalent to the cross-correlation of f(t) and g(−t) ) gives the probability density function of the sum .".
- Cross-correlation thumbnail Comparison_convolution_correlation.svg?width=300.
- Cross-correlation wikiPageExternalLink Cross-Correlation.html.
- Cross-correlation wikiPageExternalLink nip.html.
- Cross-correlation wikiPageExternalLink sign05.pdf.
- Cross-correlation wikiPageExternalLink Chapter6.pdf.
- Cross-correlation wikiPageID "714163".
- Cross-correlation wikiPageRevisionID "606232742".
- Cross-correlation hasPhotoCollection Cross-correlation.
- Cross-correlation subject Category:Bilinear_operators.
- Cross-correlation subject Category:Covariance_and_correlation.
- Cross-correlation subject Category:Signal_processing.
- Cross-correlation subject Category:Time_domain_analysis.
- Cross-correlation type Abstraction100002137.
- Cross-correlation type BilinearOperators.
- Cross-correlation type Function113783816.
- Cross-correlation type MathematicalRelation113783581.
- Cross-correlation type Operator113786413.
- Cross-correlation type Relation100031921.
- Cross-correlation comment "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.".
- Cross-correlation label "Correlación cruzada".
- Cross-correlation label "Correlazione incrociata".
- Cross-correlation label "Corrélation croisée".
- Cross-correlation label "Cross-correlation".
- Cross-correlation label "Korelacja wzajemna".
- Cross-correlation label "Kreuzkorrelation".
- Cross-correlation label "Kruiscorrelatie".
- Cross-correlation label "Relação cruzada".
- Cross-correlation label "Взаимнокорреляционная функция".
- Cross-correlation label "互相关".
- Cross-correlation label "相互相関関数".
- Cross-correlation sameAs Korelace_(zpracování_signálu).
- Cross-correlation sameAs Kreuzkorrelation.
- Cross-correlation sameAs Correlación_cruzada.
- Cross-correlation sameAs Corrélation_croisée.
- Cross-correlation sameAs Correlazione_incrociata.
- Cross-correlation sameAs 相互相関関数.
- Cross-correlation sameAs Kruiscorrelatie.
- Cross-correlation sameAs Korelacja_wzajemna.
- Cross-correlation sameAs Relação_cruzada.
- Cross-correlation sameAs m.03530_.
- Cross-correlation sameAs Q1302587.
- Cross-correlation sameAs Q1302587.
- Cross-correlation sameAs Cross-correlation.
- Cross-correlation wasDerivedFrom Cross-correlation?oldid=606232742.
- Cross-correlation depiction Comparison_convolution_correlation.svg.
- Cross-correlation isPrimaryTopicOf Cross-correlation.
