Coarse quantization for random interleaved sampling of bandlimited signals
Powell, Alexander M. ; Tanner, Jared ; Wang, Yang ; Yılmaz, Özgür
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 46 (2012), p. 605-618 / Harvested from Numdam
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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 ⊂[0,T]} { T n } n = 1 N ⊂ [ 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)-f ˜(t)|} | f ( t ) - 􏽥 f ( t ) | is at most of order N-1log N.

Publié le : 2012-01-01
DOI : https://doi.org/10.1051/m2an/2011057
Classification:  41A30,  94A12,  94A20 
@article{M2AN_2012__46_3_605_0,
     author = {Powell, Alexander M. and Tanner, Jared and Wang, Yang and Y\i lmaz, \"Ozg\"ur},
     title = {Coarse quantization for random interleaved sampling of bandlimited signals},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {46},
     year = {2012},
     pages = {605-618},
     doi = {10.1051/m2an/2011057},
     mrnumber = {2877367},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2012__46_3_605_0}
}

Powell, Alexander M.; Tanner, Jared; Wang, Yang; Yılmaz, Özgür. Coarse quantization for random interleaved sampling of bandlimited signals. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 46 (2012) pp. 605-618. doi : 10.1051/m2an/2011057. http://gdmltest.u-ga.fr/item/M2AN_2012__46_3_605_0/

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