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.
Read more about this topic: Wigner Distribution Function
Famous quotes containing the words mathematical and/or definition:
“The circumstances of human society are too complicated to be submitted to the rigour of mathematical calculation.”
—Marquis De Custine (17901857)
“Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.”
—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on life (based on wording in the First Edition, 1935)