Summary: IEEE SIGNAL PROCESSING LETTERS, VOL. 19, NO. 1, JANUARY 2012 39
Compressed Sensing With Nonlinear Analog
Mapping in a Noisy Environment
Ahmad Abou Saleh, Wai-Yip Chan, and Fady Alajaji
Abstract--We propose a low delay and low complexity sensor
system based on the combination of Shannon­Kotel'nikov map-
ping and compressed sensing (CS). The proposed system uses
nonlinear analog mappings on the CS measurements to in-
crease their immunity against channel noise. Numerical results
show that the proposed purely-analog system outperforms the
state-of-the-art purely CS systems in terms of signal-to-distortion
ratio. In addition to sparsity knowledge, we use a statistical
characterization of the observed signal to further improve system
performance.
Index Terms--Compressed sensing, Shannon­Kotel'nikov
mapping.
I. INTRODUCTION
WIRELESS sensors networks (WSNs) monitor the phys-
ical world through distributed sensor nodes. These
nodes, often conceived as having limited lifetime and sensing

Source: Alajaji, Fady - Department of Mathematics and Statistics, Queen's University (Kingston)

Collections: Engineering