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Zero-free regions of radar ambiguity functions and moments

Philippe Jaming
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Abstract

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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Philippe Jaming. 2006-06-16. Zero-free regions of radar ambiguity functions and moments. https://arxiv.org/abs/math/0606397

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