Spectral Super-resolution and Band-limited Extrapolation Using Slepian Series

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Mihalik_2019.pdf(1.78 MB)
Date
2019-10-29
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IFAC
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Abstract
Band-limited signal extrapolation and spectral super-resolutions are closely related. They both can be achieved using Slepian series. This method is often believed to be dependent on computing definite integrals. Instead of using numerical integration, a simple and reliable method, which can be implemented in MATLAB, is presented. This way, it is much easier to investigated the extent to which a signal can be extrapolated from its samples taken in a finite interval. The proposed method is tested with data from a real microphone array.
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Keywords
Prolate spheroidal wave functions, Slepian series, Signal extrapolation, Sampled signals, Frequency spectrum, Fourier analysis, Bandwidth
Citation
IFAC-PapersOnLine (ELSEVIER). 2019, vol. 52, issue 27, p. 388-393.
https://www.sciencedirect.com/science/article/pii/S2405896319326400
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Peer-reviewed
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en
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
DOI
10.1016/j.ifacol.2019.12.691
URI
http://hdl.handle.net/11012/194804
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