Signal

Cross correlation and cross power spectrum for signal + noise

Cross correlation and cross power spectrum for signal + noise
  1. What is the cross-correlation function corresponding to the cross power density spectrum?
  2. What is cross-correlation in signal processing?
  3. What is the relation between autocorrelation and power spectral density?
  4. What is power spectrum of a signal?

What is the cross-correlation function corresponding to the cross power density spectrum?

Cross-correlation function is a function that defines the relationship between two random signals. The cross power spectral density, Sxy❲f❳is complex-valued with real and imaginary parts given by co spectrum ❲Coxy❲f❳❳and quadrature spectrum ❲Quxy❲f❳❳respectively.

What is cross-correlation in signal processing?

In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This is also known as a sliding dot product or sliding inner-product.

What is the relation between autocorrelation and power spectral density?

Energy spectral density measures signal energy distribution across frequency. Autocorrelation function of an energy signal measures signal self-similarity versus delay: can be used for synchronization. A signal's autocorrelation and ESD are Fourier transform pairs.

What is power spectrum of a signal?

The power spectrum of a signal indicates the relative magnitudes of the frequency components that combine to make up the signal. The data used to determine the power spectrum must reflect sufficient excitation in the signal.

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