q-ary Compressive Sensing

Youssef Mroueh; Lorenzo Rosasco

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arXiv · 1302.5168

q-ary Compressive Sensing

Youssef Mroueh·Lorenzo Rosasco

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Abstract

We introduce q-ary compressive sensing, an extension of 1-bit compressive sensing. We propose a novel sensing mechanism and a corresponding recovery procedure. The recovery properties of the proposed approach are analyzed both theoretically and empirically. Results in 1-bit compressive sensing are recovered as a special case. Our theoretical results suggest a tradeoff between the quantization parameter q, and the number of measurements m in the control of the error of the resulting recovery algorithm, as well its robustness to noise.

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Youssef Mroueh, Lorenzo Rosasco. 2013-02-21. q-ary Compressive Sensing. https://arxiv.org/abs/1302.5168

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