Autocorrelation random process

1. What is the autocorrelation of a random process?
2. What is random process in statistics?
3. What is covariance in random process?
4. What is autocorrelation in image processing?

What is the autocorrelation of a random process?

Autocorrelation of a random process X(t) is defined as the correlation of the random process X(t) with itself (hence the word auto) at different points in time.

What is random process in statistics?

A random process is a collection of random variables usually indexed by time. The process S(t) mentioned here is an example of a continuous-time random process. In general, when we have a random process X(t) where t can take real values in an interval on the real line, then X(t) is a continuous-time random process.

What is covariance in random process?

In probability theory and statistics, the covariance function describes how much two random variables change together (their covariance) with varying spatial or temporal separation.

What is autocorrelation in image processing?

For these image classes, autocorrelation can be understood as the product of the predicted intensity distribution of a pixel [ P i ( x , y ) ] in the image and the predicted intensity distribution of pixels a certain distance away [ P i ( x + a , y + b ) ] .