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Information Center for Mathematical Science

PAC

A Non-Uniform Sampler for Wideband Spectrally-Sparse Environments
Author Emmanuel Candes (Stanford University)
Homepage Url http://www-stat.stanford.edu/~candes/publications.html
Coauthors Michael Wakin, Stephen Becker, Eric Nakamura, Michael Grant, Emilio Sovero, Daniel Ching, Juhwan Yoo, Justin Romberg, Azita Emami-Neyestanak
Abstract We present a wide bandwidth, compressed sensing based non-uniform sampling (NUS) system with a custom sampleand- hold chip designed to take advantage of a low average sampling rate. By sampling signals non-uniformly, the average sample rate can be more than a magnitude lower than the Nyquist rate, provided that these signals have a relatively low information content as measured by the sparsity of their spectrum. The hardware design combines a wideband Indium-Phosphide (InP) heterojunction bipolar transistor (HBT) sample-and-hold with a commercial off-the-shelf (COTS) analog-to-digital converter (ADC) to digitize an 800 MHz to 2 GHz band (having 100 MHz of non-contiguous spectral content) at an average sample rate of 236 Msps. Signal reconstruction is performed via a non-linear compressed sensing algorithm, and the challenges of developing an efficient GPU implementation are discussed. Measured biterror- rate (BER) data for a GSM channel is presented, and comparisons to a conventional wideband 4.4 Gsps ADC are made.
Abstract Url http://inside.mines.edu/~mwakin/papers/NUS_20120628.pdf