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.
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
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- Publication year
2015
- Venue
Asilomar Conference on Signals, Systems and Computers
- Publication date
2015-06-01
- Fields of study
Mathematics, Computer Science, Engineering
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