Rotation invariant ambiguity functions
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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.References
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Additional Information
- Qingtang Jiang
- Affiliation: Department of Mathematics, Peking University, Beijing 100871, People’s Republic of China
- Address at time of publication: Department of Mathematics, National University of Singapore, Lower Kent Ridge Road, Singapore 119260
- Email: qjiang@haar.math.nus.sg
- Received by editor(s): October 25, 1995
- Received by editor(s) in revised form: August 23, 1996
- Communicated by: J. Marshall Ash
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 561-567
- MSC (1991): Primary 42C05, 42C99
- DOI: https://doi.org/10.1090/S0002-9939-98-04197-5
- MathSciNet review: 1443157