Recovering signals from inner products involving prolate spheroidals in the presence of jitter期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Recovering signals from inner products involving prolate spheroidals in the presence of jitter

Authors:	Dorota Dabrowska

Institution:	Faculty of Mathematics and Science, Cardinal Stefan Wyszynski University in Warsaw, ul. Dewajtis 5, 01-815 Warsaw, Poland

Abstract:	The paper deals with recovering band- and energy-limited signals from a finite set of perturbed inner products involving the prolate spheroidal wavefunctions. The measurement noise (bounded by $\delta$ ) and jitter meant as perturbation of the ends of the integration interval (bounded by $\gamma$ ) are considered. The upper and lower bounds on the radius of information are established. We show how the error of the best algorithms depends on $\gamma$ and $\delta$ . We prove that jitter causes error of order $\Omega^{\frac{3}{2}}\gamma$ , where $-\Omega,\Omega]$ is a bandwidth, which is similar to the error caused by jitter in the case of recovering signals from samples.

Keywords:	Problem complexity signal theory application of orthogonal functions in communication

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