ESAIM. Mathematical modelling and numerical analysis, 2012-05, Vol.46 (3), p.605-618
2012
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Details
- Autor(en) / Beteiligte
- Titel
- Coarse quantization for random interleaved sampling of bandlimited signals
- Ist Teil von
- ESAIM. Mathematical modelling and numerical analysis, 2012-05, Vol.46 (3), p.605-618
- Ort / Verlag
- Les Ulis: EDP Sciences
- Erscheinungsjahr
- 2012
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- The compatibility of unsynchronized interleaved uniform sampling with Sigma-Delta analog-to-digital conversion is investigated. Let f be a bandlimited signal that is sampled on a collection of N interleaved grids {kT + Tn} k ∈ Z with offsets \hbox{$\{T_n\}_{n=1}^N\subset [0,T]$}. If the offsets Tn are chosen independently and uniformly at random from [0,T] and if the sample values of f are quantized with a first order Sigma-Delta algorithm, then with high probability the quantization error \hbox{$|f(t) - \widetilde{f}(t)|$}is at most of order N-1log N.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0764-583XeISSN: 1290-3841DOI: 10.1051/m2an/2011057Titel-ID: cdi_proquest_miscellaneous_1677906772
- Format
- –
- Schlagworte
- 41A30, 94A12, 94A20, Algorithms, Analog-to-digital conversion, bandlimited signals, Collection, Conversion, Exact sciences and technology, Fourier analysis, Fourier transforms, Functional analysis, interleaved sampling, Mathematical analysis, Mathematical models, Mathematics, Offsets, Quantization, random sampling, Sampling, sampling expansions, Sciences and techniques of general use, Sigma-Delta quantization, Studies