Foldings of Periodic Nonuniform Samplings

Periodic Nonuniform Samplings of order N (PNS N ) are interleavings of periodic samplings. For a base period T , simple algorithms can be used to reconstruct functions of spectrum included in an union \Delta of N intervals \delta _{k} of length 1/T . In this brief we study the behavior of...

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Veröffentlicht in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2022-03, Vol.69 (3), p.1862-1866
Hauptverfasser: Lacaze, Bernard, Fabre, Serge
Format: Artikel
Sprache:eng
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Zusammenfassung:Periodic Nonuniform Samplings of order N (PNS N ) are interleavings of periodic samplings. For a base period T , simple algorithms can be used to reconstruct functions of spectrum included in an union \Delta of N intervals \delta _{k} of length 1/T . In this brief we study the behavior of these algorithms when applied to any function. We prove that they result in N (or less) foldings on \Delta , each of \delta _{k} holding at most one folding.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2021.3105870