Joint sparsity pattern recovery with 1-bit compressive sensing in sensor networks

Vipul Gupta,B. Kailkhura,Thakshila Wimalajeewa,Sijia Liu,P. Varshney

Published 2015 in Asilomar Conference on Signals, Systems and Computers

ABSTRACT

We study the problem of joint sparsity pattern recovery with 1-bit compressive measurements in a sensor network. Sensors are assumed to observe sparse signals having the same but unknown sparsity pattern. Each sensor quantizes its measurement vector element-wise to 1-bit and transmits the quantized observations to a fusion center. We develop a computationally tractable support recovery algorithm which minimizes a cost function defined in terms of the likelihood function and the ℓ1,∞ norm. We observe that even with noisy 1-bit measurements, joint sparsity pattern can be recovered accurately with multiple sensors each collecting only a small number of measurements.

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