Autocorrelation

Autocorrelation of discrete signal $\sin{2\pi fn}$

Autocorrelation of discrete signal $\sin{2\pi fn}$
  1. How do you calculate autocorrelation?
  2. What is autocorrelation of a signal?
  3. What is autocorrelation of sine wave?

How do you calculate autocorrelation?

The number of autocorrelations calculated is equal to the effective length of the time series divided by 2, where the effective length of a time series is the number of data points in the series without the pre-data gaps.

What is autocorrelation of a signal?

Autocorrelation, sometimes known as serial correlation in the discrete time case, is the correlation of a signal with a delayed copy of itself as a function of delay. Informally, it is the similarity between observations of a random variable as a function of the time lag between them.

What is autocorrelation of sine wave?

The autocorrelation of a sine wave is a cosine waveshape [REF10]. This means when looking for a periodic sinusoid signal in random noise the autocorrelation function will show a cosine waveshape mixed with the autocorrelation function of the random noise.

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