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 |
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Hauptverfasser: | , |
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. |
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ISSN: | 1549-7747 1558-3791 |
DOI: | 10.1109/TCSII.2021.3105870 |