Zero-free regions of radar ambiguity functions and moments
Classical Analysis and ODEs
2007-05-23 v1
Abstract
In this article, we give an estimate of the zero-free region around the origin of the ambiguity function of a signal in terms of the moments of . 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.
Keywords
Cite
@article{arxiv.math/0606397,
title = {Zero-free regions of radar ambiguity functions and moments},
author = {Philippe Jaming},
journal= {arXiv preprint arXiv:math/0606397},
year = {2007}
}