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One-Bit Quantization and Distributed Detection with an Unknown Scale Parameter

College of Information and Communication Engineering, Harbin Engineering University, No.145 Nangang District, Harbin 150001, China
Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA
National Key Laboratory on Communications, University of Electronic Science and Technology of China, Chengdu 611731, China
Author to whom correspondence should be addressed.
Academic Editor: Erchin Serpedin
Algorithms 2015, 8(3), 621-631;
Received: 23 June 2015 / Revised: 25 July 2015 / Accepted: 6 August 2015 / Published: 11 August 2015
(This article belongs to the Special Issue Algorithms for Sensor Networks)
PDF [333 KB, uploaded 11 August 2015]


We examine a distributed detection problem in a wireless sensor network, where sensor nodes collaborate to detect a Gaussian signal with an unknown change of power, i.e., a scale parameter. Due to power/bandwidth constraints, we consider the case where each sensor quantizes its observation into a binary digit. The binary data are then transmitted through error-prone wireless links to a fusion center, where a generalized likelihood ratio test (GLRT) detector is employed to perform a global decision. We study the design of a binary quantizer based on an asymptotic analysis of the GLRT. Interestingly, the quantization threshold of the quantizer is independent of the unknown scale parameter. Numerical results are included to illustrate the performance of the proposed quantizer and GLRT in binary symmetric channels (BSCs). View Full-Text
Keywords: decentralized detection; one-bit scalar quantization; wireless sensor networks (WSNs) decentralized detection; one-bit scalar quantization; wireless sensor networks (WSNs)

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Gao, F.; Guo, L.; Li, H.; Fang, J. One-Bit Quantization and Distributed Detection with an Unknown Scale Parameter. Algorithms 2015, 8, 621-631.

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