Original title: Band-Limited Signal Extrapolation Using Least Squares Approximation By Prolate Spheroidalwave Functions
Authors: Mihálik, Ondrej
Document type: Papers
Language: slo
Publisher: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií
Abstract: This paper is concerned with the band-limited signal extrapolation using a truncated series of Prolate spheroidal wave functions. Our aim is to investigate the extent to which it is possible to extrapolate signal from its samples taken in a finite interval. It is often believed that this extrapolation method depends on computing definite integrals. We show an alternative approach by using the least squares method. We briefly discuss performance of these two methods in the presence of noise and the possibility of using this algorithm for real-time data processing. Finally the extrapolation algorithm is tested with real data from a microphone array.
Keywords: band-limited signals; extrapolation; Fourier transform; least squares; orthogonality; Prolate spheroidal wave functions; spectrum
Host item entry: Proceedings of the 25st Conference STUDENT EEICT 2019, ISBN 978-80-214-5735-5

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/186704

Permalink: http://www.nusl.cz/ntk/nusl-414606


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