Autocorrelation

Auto-correlation of absolute squared stochastic process

Auto-correlation of absolute squared stochastic process
  1. What is autocorrelation in stochastic process?
  2. What is auto correlation in DSP?
  3. What is the difference between auto correlation and cross-correlation?
  4. What is the autocorrelation of white noise?

What is autocorrelation in stochastic process?

The autocorrelation function provides a measure of similarity between two observations of the random process X(t) at different points in time t and s. The autocorrelation function of X(t) and X(s) is denoted by RXX(t, s) and defined as follows: (10.2a) (10.2b)

What is auto correlation in DSP?

Autocorrelation is useful for finding repeating patterns in a signal, such as determining the presence of a periodic signal which has been buried under noise, or identifying the missing fundamental frequency in a signal implied by its harmonic frequencies.

What is the difference between auto correlation and cross-correlation?

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 the autocorrelation of white noise?

A white noise process has an autocorrelation function of zero at all lags except a value of unity at lag zero, to indicate that the process is completely uncorrelated.

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