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Coarse quantization for random interleaved sampling of bandlimited signals

Alexander M. PowellJared TannerYang WangÖzgür Yılmaz — 2012

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

The compatibility of unsynchronized interleaved uniform sampling with Sigma-Delta analog-to-digital conversion is investigated. Let be a bandlimited signal that is sampled on a collection of interleaved grids  { +  } with offsets { T n } n = 1 N [ 0 , T ] T n n = 1 N ⊂ [ 0 ,T ] . If the offsets are chosen independently and uniformly at random from  [0]  and if the sample values of are quantized with a first order Sigma-Delta algorithm, then with high probability the quantization error...

Coarse quantization for random interleaved sampling of bandlimited signals

Alexander M. PowellJared TannerYang WangÖzgür Yılmaz — 2012

ESAIM: Mathematical Modelling and Numerical Analysis

The compatibility of unsynchronized interleaved uniform sampling with Sigma-Delta analog-to-digital conversion is investigated. Let be a bandlimited signal that is sampled on a collection of interleaved grids  { +  }  with offsets { T n } n = 1 N [ 0 , T ] . If the offsets are chosen independently and uniformly at random from  [0]  and if the sample values of are quantized with a first order Sigma-Delta algorithm,...

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