Demystifying Band-Limited Extrapolation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F21%3APU140729" target="_blank" >RIV/00216305:26220/21:PU140729 - isvavai.cz</a>
Result on the web
<a href="https://www.fekt.vut.cz/conf/EEICT/archiv/sborniky/EEICT_2021_sbornik_1.pdf" target="_blank" >https://www.fekt.vut.cz/conf/EEICT/archiv/sborniky/EEICT_2021_sbornik_1.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Demystifying Band-Limited Extrapolation
Original language description
Extrapolation of band-limited signals gained scientiﬁc attention over the last 60 years. The famous methods: Gerchberg-Papoulis algorithm, Prolate spheroidal wave functions (PSWFs), and sinc interpolation—they all promise excellent results. But when it comes to their practical implementation, users may ﬁnd themselves struggling with many unanswered questions. Especially PSWFs became viewed as mysterious. They are hard to compute and even harder to apply. In theory they promise excellent extrapolation capabilities—something which is contrary to our intuition. This paradox is resolved if we admit that the real-world data contain noise. In this paper we review the above-mentioned methods and try to provide a brief assessment of their capabilities by considering the eﬀects of noise and the length of signal observation.
Czech name
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Czech description
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Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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