Transformation between distributions in time–frequency analysis: Difference between revisions

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where <math>\phi(\theta,\tau)</math> is a two dimensional function called the kernel, which determines the distribution and its properties (for a signal processing terminology and treatment of this question, the reader is referred to the references already cited in the introduction).
 
For the kernel of the [[Wigner distribution function]] (WDF) is one. However, it is no particular significance should be attached to that since it is possible to write the general form so that the kernel of any distribution is one, in which case the kernel of the [[Wigner distribution function]] (WDF) would be something else.
 
==Characteristic function formulation==