A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor Networks

We address the problem of DOA estimation in positioning of nodes in wireless sensor networks. The Stochastic Maximum Likelihood (SML) algorithm is adopted in this paper. The SML algorithm is well-known for its high resolution of DOA estimation. However, its computational complexity is very high beca...

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Main Authors: Faming Gong, Haihua Chen, Shibao Li, Jianhang Liu, Zhaozhi Gu, Masakiyo Suzuki
Format: Article
Language:English
Published: SAGE Publishing 2015-10-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1155/2015/352012
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spelling doaj-6d8cd5ed76bb47b1b0f0c0ba1bf54c4a2020-11-25T03:39:18ZengSAGE PublishingInternational Journal of Distributed Sensor Networks1550-14772015-10-011110.1155/2015/352012352012A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor NetworksFaming Gong0Haihua Chen1Shibao Li2Jianhang Liu3Zhaozhi Gu4Masakiyo Suzuki5 College of Computer and Communication Engineering, China University of Petroleum, Qingdao, Shandong 266580, China College of Computer and Communication Engineering, China University of Petroleum, Qingdao, Shandong 266580, China College of Computer and Communication Engineering, China University of Petroleum, Qingdao, Shandong 266580, China College of Computer and Communication Engineering, China University of Petroleum, Qingdao, Shandong 266580, China College of Computer and Communication Engineering, China University of Petroleum, Qingdao, Shandong 266580, China Graduate School of Engineering, Kitami Institute of Technology, 165 Koencho, Kitami, Hokkaido 090-8507, JapanWe address the problem of DOA estimation in positioning of nodes in wireless sensor networks. The Stochastic Maximum Likelihood (SML) algorithm is adopted in this paper. The SML algorithm is well-known for its high resolution of DOA estimation. However, its computational complexity is very high because multidimensional nonlinear optimization problem is usually involved. To reduce the computational complexity of SML estimation, we do the following work. (1) We point out the problems of conventional SML criterion and explain why and how these problems happen. (2) A local AM search method is proposed which could be used to find the local solution near/around the initial value. (3) We propose an algorithm which uses the local AM search method together with the estimation of DML or MUSIC as initial value to find the solution of SML. Simulation results are shown to demonstrate the effectiveness and efficiency of the proposed algorithms. In particular, the algorithm which uses the local AM method and estimation of MUSIC as initial value has much higher resolution and comparable computational complexity to MUSIC.https://doi.org/10.1155/2015/352012
collection DOAJ
language English
format Article
sources DOAJ
author Faming Gong
Haihua Chen
Shibao Li
Jianhang Liu
Zhaozhi Gu
Masakiyo Suzuki
spellingShingle Faming Gong
Haihua Chen
Shibao Li
Jianhang Liu
Zhaozhi Gu
Masakiyo Suzuki
A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor Networks
International Journal of Distributed Sensor Networks
author_facet Faming Gong
Haihua Chen
Shibao Li
Jianhang Liu
Zhaozhi Gu
Masakiyo Suzuki
author_sort Faming Gong
title A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor Networks
title_short A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor Networks
title_full A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor Networks
title_fullStr A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor Networks
title_full_unstemmed A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor Networks
title_sort low computational complexity sml estimation algorithm of doa for wireless sensor networks
publisher SAGE Publishing
series International Journal of Distributed Sensor Networks
issn 1550-1477
publishDate 2015-10-01
description We address the problem of DOA estimation in positioning of nodes in wireless sensor networks. The Stochastic Maximum Likelihood (SML) algorithm is adopted in this paper. The SML algorithm is well-known for its high resolution of DOA estimation. However, its computational complexity is very high because multidimensional nonlinear optimization problem is usually involved. To reduce the computational complexity of SML estimation, we do the following work. (1) We point out the problems of conventional SML criterion and explain why and how these problems happen. (2) A local AM search method is proposed which could be used to find the local solution near/around the initial value. (3) We propose an algorithm which uses the local AM search method together with the estimation of DML or MUSIC as initial value to find the solution of SML. Simulation results are shown to demonstrate the effectiveness and efficiency of the proposed algorithms. In particular, the algorithm which uses the local AM method and estimation of MUSIC as initial value has much higher resolution and comparable computational complexity to MUSIC.
url https://doi.org/10.1155/2015/352012
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