In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This...
26 KB (4,083 words) - 05:53, 30 April 2025
The cross-correlation matrix of two random vectors is a matrix containing as elements the cross-correlations of all pairs of elements of the random vectors...
6 KB (889 words) - 21:03, 14 April 2025
Autocorrelation (redirect from Auto-correlation)
Autocorrelation, sometimes known as serial correlation in the discrete time case, measures the correlation of a signal with a delayed copy of itself....
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Discrete Fourier transform (redirect from Cross-correlation theorem)
DTFT of a finite length sequence. (§ Sampling the DTFT) It is the cross correlation of the input sequence, x n {\displaystyle x_{n}} , and a complex sinusoid...
76 KB (12,333 words) - 05:19, 3 May 2025
Correlation disattenuation Correlation function Correlation gap Covariance Covariance and correlation Cross-correlation Ecological correlation Fraction of variance...
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the variable Y). In this case the cross-covariance and cross-correlation are functions of the time difference: cross-covariance σ X Y ( m ) = E [ ( X n...
4 KB (638 words) - 20:58, 15 March 2023
A correlation coefficient is a numerical measure of some type of linear correlation, meaning a statistical relationship between two variables. The variables...
8 KB (754 words) - 05:11, 27 February 2025
In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is...
58 KB (8,383 words) - 04:12, 17 May 2025
In statistics, Spearman's rank correlation coefficient or Spearman's ρ, named after Charles Spearman and often denoted by the Greek letter ρ {\displaystyle...
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made up of autocorrelations. Correlation functions of different random variables are sometimes called cross-correlation functions to emphasize that different...
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Convolution (redirect from Cross Convolution)
similar to cross-correlation: for real-valued functions, of a continuous or discrete variable, convolution f ∗ g {\displaystyle f*g} differs from cross-correlation...
67 KB (8,819 words) - 15:20, 10 May 2025
Coherence (signal processing) Convolution Correlation Cross-correlation Phase correlation Spectral density Cross-spectrum Wiener–Khinchin theorem Nikolić...
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Fluorescence correlation spectroscopy (FCS) is a statistical analysis, via time correlation, of stationary fluctuations of the fluorescence intensity....
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Spectral density (redirect from Cross-spectral density)
the cross-correlation of x ( t ) {\displaystyle x(t)} with y ( t ) {\displaystyle y(t)} and R y x ( τ ) {\displaystyle R_{yx}(\tau )} is the cross-correlation...
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particularly to a subset of cross-correlation techniques that isolate the phase information from the Fourier-space representation of the cross-correlogram. The following...
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additive noise having a normal distribution. In other words, the cross-correlation of the received signal with the transmitted signal is computed. This...
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Figure 4a (third plot) is the cross-correlation function ( P 1 ⋆ P 0 ) {\displaystyle (P_{1}\star P_{0})} . The cross-correlation function slides one curve...
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Dynamic light scattering (redirect from Photon Correlation Spectroscopy)
the intensity or photon autocorrelation function (also known as photon correlation spectroscopy – PCS or quasi-elastic light scattering – QELS). In the...
35 KB (4,342 words) - 20:49, 11 March 2025
Template matching (section Template-based matching explained using cross correlation or sum of absolute differences)
additional variable of color is either not present or not relevant. Cross correlation techniques compare the similarities of the search and template images...
19 KB (2,433 words) - 01:59, 30 June 2024
Two dimensional correlation analysis is a mathematical technique that is used to study changes in measured signals. As mostly spectroscopic signals are...
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]\operatorname {E} [\mathbf {X} ]^{T}} . Similarly for the cross-correlation matrix and the cross-covariance matrix: R X Y = K X Y + E [ X ] E [ Y ] T...
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by these two fixed locations. Autoregressive process Correlation Cross-covariance Cross-correlation Noise covariance estimation (as an application example)...
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chronological equivalence between geological phenomena in different regions. Cross-correlation, a measure of similarity between two signals, used e.g. in seismology...
1 KB (173 words) - 00:52, 20 September 2020
correlation between the signals of the spectrum along each of the two axes at these values. An easy visual way to determine which couplings a cross peak...
29 KB (3,715 words) - 00:24, 25 November 2024
research, epidemiology, social science, and biology, a cross-sectional study (also known as a cross-sectional analysis, transverse study, prevalence study)...
11 KB (1,450 words) - 14:37, 14 August 2024
statistics, canonical-correlation analysis (CCA), also called canonical variates analysis, is a way of inferring information from cross-covariance matrices...
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auto-correlation and cross-correlation analysis. In the time domain, correlation and analysis can be made in a filter-like manner using scaled correlation...
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mechanics, the correlation function is a measure of the order in a system, as characterized by a mathematical correlation function. Correlation functions describe...
27 KB (3,959 words) - 22:01, 22 April 2025
Passive radar (section Cross-correlation processing)
processing techniques to exploit a variety of broadcast signals and to use cross-correlation techniques to achieve sufficient signal processing gain to detect...
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across areas. The modelling process involves some steps, including cross-correlation, Green's function, and inversion. The usage of ambient noise as source...
18 KB (2,039 words) - 16:10, 19 January 2025