Universal sampling of band-limited signals

Alexander Olevskii, Alexander Ulanovskii

Research output: Contribution to journalArticlepeer-review

Abstract

We ask if there exist universal sampling sets of given density, which provide reconstruction or stable reconstruction of every band-limited signal whose spectrum has a small Lebesgue measure. For the stable reconstruction, we show that it is crucial whether the spectrum is compact or dense. On the other hand, the non-stable universal reconstruction is possible in general situation. To cite this article: A. Olevskii, A. Ulanovskii, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

Original languageEnglish
Pages (from-to)927-931
Number of pages5
JournalComptes Rendus Mathematique
Volume342
Issue number12
DOIs
StatePublished - 15 Jun 2006

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