Power Allocation for Distributed Detection Systems in Wireless Sensor Networks With Limited Fusion Center Feedback

• Published in: IEEE transactions on communications Vol. 66; no. 10; pp. 4753 - 4766
• Main Authors: Guo, Xiaoxi, He, Yuanyuan, Atapattu, Saman, Dey, Subhrakanti, Evans, Jamie S.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Allocations; Channel estimation; Complexity; Convexity; Distributed detection; Divergence; Electric power distribution; Feedback; finite-rate feedback; Indexes; J-divergence; Measurement; Optimization; Power management; Quantization (signal); quantized power allocation; Remote sensors; Resource management; Sensors; Wireless sensor networks
• ISSN: 0090-6778; 1558-0857; 1558-0857
• DOI: 10.1109/TCOMM.2018.2837101

We consider a distributed detection system for a wireless sensor network over slow-fading channels. Each sensor only has knowledge of quantized channel state information (CSI) which is received from the fusion center via a limited feedback channel. We then consider transmit power allocation at each sensor in order to maximize a J-divergence based detection metric subject to a total and individual transmit power constraints. Our aim is to jointly design the quantization regions of all sensors CSI and the corresponding power allocations. A locally optimum solution is obtained by applying the generalized Lloyd algorithm (GLA). To overcome the high computational complexity of the GLA, we then propose a low-complexity near-optimal scheme which performs very close to its GLA based counterpart. This enables us to explicitly formulate the problem and to find the unique solution despite the non-convexity of the optimization problem. An asymptotic analysis is also provided when the number of feedback bits becomes large. Numerical results illustrate that only a small amount of feedback is needed to achieve a detection performance close to the full CSI case.