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Compressed Sensing by Gitta Kutyniok, Yonina C. Eldar

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3   Xampling: compressed sensing of analog signals

Moshe Mishali and Yonina C. Eldar

This chapter generalizes compressed sensing (CS) to reduced-rate sampling of analog signals. It introduces Xampling, a unified framework for low-rate sampling and processing of signals lying in a union of subspaces. Xampling consists of two main blocks: analog compression that narrows down the input bandwidth prior to sampling with commercial devices followed by a nonlinear algorithm that detects the input subspace prior to conventional signal processing. A variety of analog CS applications are reviewed within the unified Xampling framework including a general filter-bank scheme for sparse shift-invariant spaces, periodic nonuniform sampling and modulated wideband ...

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