DocumentCode :
27177
Title :
Distributed Angle Estimation by Multiple Frequencies Synthetic Array in Wireless Sensor Localization System
Author :
Bobin Yao ; Wenjie Wang ; Wei Han ; Qinye Yin
Author_Institution :
Minist. of Educ. Key Lab. for Intell. Networks & Network Security, Xi´an Jiaotong Univ., Xian, China
Volume :
13
Issue :
2
fYear :
2014
fDate :
Feb-14
Firstpage :
876
Lastpage :
887
Abstract :
In this paper, we address the problem of distributed angle estimation in wireless sensor localization system. Given that the practical limitations on size and cost, i.e., anchor node cannot equip a complicated antenna or antenna array, we devise an alternative measure based on a fixed-spacing two-antenna equipment. Through the multiple frequencies tuning, a virtual non-uniform linear array, called multiple frequencies synthetic array (MFSA), can be rebuilt independently at each sensor node. We first provide in theory the angle unambiguity conditions for such virtual array and then propose two different algorithms to achieve the distributed angle of departure (AOD) estimation. The first algorithm is based on the spectral searching technique, which is an improved version of the conventional rank reduction estimator (RARE) and has the same performance but less computational complexity. To further alleviate the computational burden at sensor node end, we convert the above angle estimation into a congruence problem and provide another closed-form solution based on Chinese remainder theorem (CRT). We also derive the Cramer-Rao bound for the MFSA and demonstrate theoretically that the latter algorithm from the perspective of cumulative circular distance is suboptimal when compared with the former one. Numerical examples are provided to show the validity of the proposed algorithms and the corresponding conclusions.
Keywords :
direction-of-arrival estimation; linear antenna arrays; multifrequency antennas; sensor placement; wireless sensor networks; AOD estimation; Chinese remainder theorem; Cramer-Rao bound; MFSA; RARE; angle of departure estimation; closed-form solution; computational complexity; cumulative circular distance; distributed angle estimation; multiple frequencies synthetic array; multiple frequencies tuning; rank reduction estimator; spectral searching technique; two-antenna equipment; virtual nonuniform linear array; wireless sensor localization system; Antennas; Arrays; Estimation; Frequency estimation; Vectors; Wireless communication; Wireless sensor networks; Chinese remainder theorem (CRT); Wireless sensor networks; angle of departure; localization; multiple frequencies synthetic array;
fLanguage :
English
Journal_Title :
Wireless Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
1536-1276
Type :
jour
DOI :
10.1109/TWC.2013.120713.130526
Filename :
6684546
Link To Document :
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