Wigner Distribution Function - Mathematical Definition

Mathematical Definition

There are several different definitions for the Wigner distribution function. The definition given here is specific to time-frequency analysis. The Wigner distribution function is

where is the imaginary unit. The WDF is essentially the Fourier transform of the input signal’s autocorrelation function — the Fourier spectrum of the product between the signal and its delayed, time reversed copy, as a function of the delay.

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