Rotation invariant ambiguity functions

Jiang, Qingtang

doi:10.1090/S0002-9939-98-04197-5

Rotation invariant ambiguity functions
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by Qingtang Jiang PDF

Proc. Amer. Math. Soc. 126 (1998), 561-567 Request permission

Abstract:

Let $W(\psi ; x, y)$ be the wideband ambiguity function. It is obtained in this note that $y^{-\frac {\alpha +2}2}W(\psi ; x, y) (\alpha >-1)$ is $SO(2)$-invariant if and only if the Fourier transform of $\psi$ is a Laguerre function.

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