Coarse quantization for random interleaved sampling of bandlimited signals∗∗∗
Alexander M. Powell; Jared Tanner; Yang Wang; Özgür Yılmaz
ESAIM: Mathematical Modelling and Numerical Analysis (2012)
- Volume: 46, Issue: 3, page 605-618
- ISSN: 0764-583X
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topPowell, Alexander M., et al. "Coarse quantization for random interleaved sampling of bandlimited signals∗∗∗." ESAIM: Mathematical Modelling and Numerical Analysis 46.3 (2012): 605-618. <http://eudml.org/doc/222103>.
@article{Powell2012,
abstract = {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.},
author = {Powell, Alexander M., Tanner, Jared, Wang, Yang, Yılmaz, Özgür},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Analog-to-digital conversion; bandlimited signals; interleaved sampling; random sampling; sampling expansions; Sigma-Delta quantization; analog-to-digital conversion; sigma-delta quantization},
language = {eng},
month = {1},
number = {3},
pages = {605-618},
publisher = {EDP Sciences},
title = {Coarse quantization for random interleaved sampling of bandlimited signals∗∗∗},
url = {http://eudml.org/doc/222103},
volume = {46},
year = {2012},
}
TY - JOUR
AU - Powell, Alexander M.
AU - Tanner, Jared
AU - Wang, Yang
AU - Yılmaz, Özgür
TI - Coarse quantization for random interleaved sampling of bandlimited signals∗∗∗
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2012/1//
PB - EDP Sciences
VL - 46
IS - 3
SP - 605
EP - 618
AB - 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.
LA - eng
KW - Analog-to-digital conversion; bandlimited signals; interleaved sampling; random sampling; sampling expansions; Sigma-Delta quantization; analog-to-digital conversion; sigma-delta quantization
UR - http://eudml.org/doc/222103
ER -
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