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

Revision as of 03:34, 22 February 2014

Revision as of 18:49, 22 February 2014

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where

: <math>\begin{alignat}{2}

M(\theta,\tau) & = \phi(\theta,\tau)\int s^*(u-\dfrac{1}{2}\tau)s(u+\dfrac{1}{2}\tau)e^{j\theta u}\,du \\

& = \phi(\theta,\tau)A(\theta,\tau) \\

\end{alignat}</math> (3)

and where <math>A(\theta,\tau)</math> is the symmetrical ambiguity function. The characteristic function may be appropriately called the generalized ambiguity function.