Journal
IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS
Volume 8, Issue -, Pages 528-542Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSIPN.2022.3180682
Keywords
Asymptotic analysis; generalized LMP test; imperfect channel; sparse signal; wireless sensor network
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In this paper, we address the problem of distributed detection of a sparse localized phenomenon of interest (POI) in a wireless sensor network. We derive locally most powerful detectors and design local quantizati...
In this paper we tackle distributed detection of a localized phenomenon of interest (POI) whose signature is sparse via awireless sensor network. We assume that both the position and the emitted power of the POI are unknown, other than the sparsity degree associated to its signature. We consider two communication scenarios in which sensors send either (i) their compressed observations or (ii) a 1-bit quantization of them to the fusion center (FC). In the latter case, we consider non-ideal reporting channels between the sensors and the FC. We derive generalized (i.e. based on Davies' framework (Davies, 1977)) locally most powerful detectors for the considered problem with the aim of obtaining computationally-efficient fusion rules. Moreover, we obtain their asymptotic performance and, based on such result, we design the local quantization thresholds at the sensors by solving a 1-D optimization problem. Simulation results confirm the effectiveness of the proposed design and highlight only negligible performance loss with respect to counterparts based on the (more-complex) generalized likelihood ratio.
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