# Cross Correlation

- The cross-correlation function gives a measure of the extent to which two signals correlate with each other as a function of the time displacement between them.

- If the signals are identical, the cross correlation will be one, and if they are completely dissimilar, the cross correlation will be zero.

- The cross correlation of two functions f
_{x}(t) and f_{y}(t) - reduces to an autocorrelation when f
_{x}(t)=f_{y}(t)

**Applications**- To determine to what extent a signal measured at one point originates from a particular source, and with what time delay.
- To detect the existence of a signal in extraneous noise.

**See also: **Autocorrelation, Correlation, Cross Spectrum.

**Subjects: ** Mathematics Noise & Vibration Signal Processing

- Discrete-time Signal Processing, , US Imports & PHIPEs

**Further reading:**