On the relationship between uniform and recurrent nonuniform discrete-time sampling schemes

P.C.W. Sommen, K. Janse

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24 Citations (Scopus)
234 Downloads (Pure)

Abstract

Recurrent nonuniform discrete-time signal samples can be regarded as a combination of K mutual delayed sequences of uniform discrete-time signal samples taken at one Kth of the Nyquist sampling rate. This paper introduces a new alternative discrete-time analysis model of the recurrent nonuniform sampling scenario. This model can be described by the analysis part of a uniform discrete Fourier transform (DFT) modulated filterbank from which the K uniformly distributed and down sampled frequency bands are mixed in a very specific way. This description gives a clear relationship between uniform and recurrent nonuniform discrete-time sampling schemes. A side benefit of this model is an efficient structure with which one can reconstruct uniform discrete-time Nyquist signal samples from recurrent nonuniform samples with known mutual delays between the nonuniform distributed samples. This reconstruction structure can be viewed as a natural extension of the synthesis part of an uniform DFT modulated filterbank.
Original languageEnglish
Pages (from-to)5147-5156
Number of pages11
JournalIEEE Transactions on Signal Processing
Volume56
Issue number10
DOIs
Publication statusPublished - 2008

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