Sampling Theory in Signal and Image Processing, volume 16, issue 1, pages 1-21

Reconstruction from Periodic Nonstationary Sampling (PNS) without Resampling

Bernard Lacaze 1
1
 
TeSA Lab., 7 Boulevard de la Gare, Toulouse, France
Publication typeJournal Article
Publication date2017-01-01
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ISSN15306429
Computational Mathematics
Analysis
Radiology, Nuclear Medicine and imaging
Algebra and Number Theory
Abstract
Periodic Nonuniform Samplings (PNS) are concatenations of periodic samplings of same periods but which are shifted. They allow to suppress aliasings, dead times of samplers by devices which provide a resampling of data. The obtained periodic sequence is treated through usual methods. In this paper, we show that the resampling stage is unnecessary, that PNS allow good estimations without resampling, at the same time for the sampled process, for linear filterings and for power spectra.
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