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August 2019

Bilinear time–frequency distribution
Bilinear timefrequency distributions, or quadratic timefrequency distributions, arise in a sub-field of signal analysis and signal processing called
Time–frequency representation
because the representation is quadratic in the signal (see Bilinear timefrequency distribution). This formulation was first described by Eugene Wigner in
Wigner distribution function
The Wigner distribution function (WDF) is used in signal processing as a transform in time-frequency analysis. The WDF was first proposed in physics to
Time–frequency analysis
Wavelet transform, Bilinear timefrequency distribution function (Wigner distribution function, or WDF), Modified Wigner distribution function, Gabor–Wigner
Transformation between distributions in time–frequency analysis
referred to as "quadratic" or bilinear timefrequency distributions. A core member of this class is the Wigner–Ville distribution (WVD), as all other TFDs
Modified Wigner distribution function
spectrogram, and the modified WDs all belong to the Cohen's class of bilinear time-frequency representations : C x ( t , f ) = ∫ − ∞ ∞ ∫ − ∞ ∞ W x ( θ , ν )
Spectral correlation density
the bilinear time-frequency distributions, but is not considered one of Cohen's class of distributions. The cyclic auto-correlation function of a time-series
Ambiguity function
fundamental to the formulation of other timefrequency distributions: the bilinear timefrequency distributions are obtained by a 2-dimensional filtering
Wigner quasiprobability distribution
transformable to and from it (viz. Transformation between distributions in timefrequency analysis). As in the case of coordinate systems, on account
Cone-shape distribution function
The cone-shape distribution function, also known as the Zhao–Atlas–Marks time-frequency distribution, (acronymized as the ZAM distribution or ZAMD), is