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Noise shaping refers to an analog-to-digital conversion methodology in whichquantization error is arranged to lie mostly outside the signal spectrum bymeans of oversampling and feedback. Recently it has been successfully appliedto more general redundant linear sampling and reconstruction systems associatedwith frames as well as non-linear systems associated with compressive sampling.This chapter reviews some of the recent progress in this subject.

Noise-shaping Quantization Methods for Frame-based and Compressive Sampling Systems