Spectral Super-resolution and Band-limited Extrapolation Using Slepian Series
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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.
KeywordsProlate spheroidal wave functions, Slepian series, Signal extrapolation, Sampled signals, Frequency spectrum, Fourier analysis, Bandwidth
Document typePeer reviewed
Document versionFinal PDF
SourceIFAC-PapersOnLine (ELSEVIER). 2019, vol. 52, issue 27, p. 388-393.