Cross Correlation [closed]

1. What does cross-correlation tell you?
2. What is cross-correlation example?
3. What is the formula for cross-correlation?
4. What is cross-correlation and autocorrelation?

What does cross-correlation tell you?

Cross-correlation is a measurement that tracks the movements of two or more sets of time series data relative to one another. It is used to compare multiple time series and objectively determine how well they match up with each other and, in particular, at what point the best match occurs.

What is cross-correlation example?

Cross-correlation is the comparison of two different time series to detect if there is a correlation between metrics with the same maximum and minimum values. For example: “Are two audio signals in phase?” Normalized cross-correlation is also the comparison of two time series, but using a different scoring result.

What is the formula for cross-correlation?

Cross-correlation between X_i and X_j is defined by the ratio of covariance to root-mean variance, ρ i , j = γ i , j σ i 2 σ j 2 . γ ^ i , j = 1 N ∑ t = 1 N [ ( X i t − X ¯ i ) ( X j t − X ¯ j ) ] .

What is cross-correlation and autocorrelation?

Cross correlation happens when two different sequences are correlated. Autocorrelation is the correlation between two of the same sequences. In other words, you correlate a signal with itself.