Howtosignalprocessing
- What is the difference between autocorrelation and correlation?
- What is the difference between autocorrelation function and cross-correlation function?
- What is autocorrelation function?
- What is the relation between cross-correlation and autocorrelation?
What is the difference between autocorrelation and correlation?
It's conceptually similar to the correlation between two different time series, but autocorrelation uses the same time series twice: once in its original form and once lagged one or more time periods. For example, if it's rainy today, the data suggests that it's more likely to rain tomorrow than if it's clear today.
What is the difference between autocorrelation function and cross-correlation function?
Cross correlation and autocorrelation are very similar, but they involve different types of correlation: 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.
What is autocorrelation function?
The autocorrelation function (ACF) defines how data points in a time series are related, on average, to the preceding data points (Box, Jenkins, & Reinsel, 1994). In other words, it measures the self-similarity of the signal over different delay times.
What is the relation between cross-correlation and autocorrelation?
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, and its size will be the signal energy.
