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Pré-Publication, Document De Travail Année : 2006

Zero-free regions of radar ambiguity functions and moments

Résumé

In this article, we give an estimate of the zero-free region around the origin of the ambiguity function of a signal $u$ in terms of the moments of $u$. This is done by proving an uncertainty relation between the first zero of the Fourier transform of a non-negative function and the moments of the function. As a corollary, we also give an estimate of how much a function needs to be translated to obtaina function that is orthogonal to the original function.
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Dates et versions

hal-00080459 , version 1 (16-06-2006)
hal-00080459 , version 2 (13-12-2006)

Identifiants

Citer

Philippe Jaming. Zero-free regions of radar ambiguity functions and moments. 2006. ⟨hal-00080459v2⟩
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