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

Algorithms

Fei Gao²  Lili Guo²  Hongbin Li³  Jun Fang¹ 

[1] National Key Laboratory on Communications, University of Electronic Science and Technology of China, Chengdu 611731, China; E-Mail:;College of Information and Communication Engineering, Harbin Engineering University, No.145 Nangang District, Harbin 150001, China; E-Mail:;Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA; E-Mail:

关键词: decentralized detection;    one-bit scalar quantization;    wireless sensor networks (WSNs);   

DOI  :  10.3390/a8030621

来源: mdpi

【 摘 要 】

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).

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.