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

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

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 bi...

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Main Authors: Fei Gao, Lili Guo, Hongbin Li, Jun Fang
Format: Article
Language:English
Published: MDPI AG 2015-08-01
Series:Algorithms
Subjects:
decentralized detection
one-bit scalar quantization
wireless sensor networks (WSNs)
Online Access:http://www.mdpi.com/1999-4893/8/3/621
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spelling doaj-8321582eae5848279f714479a45b50a52020-11-24T20:49:58ZengMDPI AGAlgorithms1999-48932015-08-018362163110.3390/a8030621a8030621One-Bit Quantization and Distributed Detection with an Unknown Scale ParameterFei Gao0Lili Guo1Hongbin Li2Jun Fang3College of Information and Communication Engineering, Harbin Engineering University, No.145 Nangang District, Harbin 150001, ChinaCollege of Information and Communication Engineering, Harbin Engineering University, No.145 Nangang District, Harbin 150001, ChinaDepartment of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USANational Key Laboratory on Communications, University of Electronic Science and Technology of China, Chengdu 611731, ChinaWe 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).http://www.mdpi.com/1999-4893/8/3/621decentralized detectionone-bit scalar quantizationwireless sensor networks (WSNs)
collection DOAJ
language English
format Article
sources DOAJ
author Fei Gao
Lili Guo
Hongbin Li
Jun Fang
spellingShingle Fei Gao
Lili Guo
Hongbin Li
Jun Fang
One-Bit Quantization and Distributed Detection with an Unknown Scale Parameter
Algorithms
decentralized detection
one-bit scalar quantization
wireless sensor networks (WSNs)
author_facet Fei Gao
Lili Guo
Hongbin Li
Jun Fang
author_sort Fei Gao
title One-Bit Quantization and Distributed Detection with an Unknown Scale Parameter
title_short One-Bit Quantization and Distributed Detection with an Unknown Scale Parameter
title_full One-Bit Quantization and Distributed Detection with an Unknown Scale Parameter
title_fullStr One-Bit Quantization and Distributed Detection with an Unknown Scale Parameter
title_full_unstemmed One-Bit Quantization and Distributed Detection with an Unknown Scale Parameter
title_sort one-bit quantization and distributed detection with an unknown scale parameter
publisher MDPI AG
series Algorithms
issn 1999-4893
publishDate 2015-08-01
description 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).
topic decentralized detection
one-bit scalar quantization
wireless sensor networks (WSNs)
url http://www.mdpi.com/1999-4893/8/3/621
work_keys_str_mv AT feigao onebitquantizationanddistributeddetectionwithanunknownscaleparameter
AT liliguo onebitquantizationanddistributeddetectionwithanunknownscaleparameter
AT hongbinli onebitquantizationanddistributeddetectionwithanunknownscaleparameter
AT junfang onebitquantizationanddistributeddetectionwithanunknownscaleparameter
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