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

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

Authors:	Dorota Dabrowska.

Affiliation:	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 ) and jitter meant as perturbation of the ends of the integration interval (bounded by ) 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 and . We prove that jitter causes error of order $Omega^{frac{3}{2}}gamma$ , where 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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