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A semidefinite relaxation method for source localization using TDOA and FDOA measurements
Author(s): Gang Wang; Youming Li; Ansari, N.
Source: IEEE Transactions on Vehicular Technology Volume: 62 Issue: 2 Pages: 853-62 Published: Feb. 2013 DOI: 10.1109/TVT.2012.2225074
Abstract: Localization by a sensor network has been extensively studied. In this paper, we address the source localization problem by using time-difference-of-arrival (TDOA) and frequency-difference-of-arrival (FDOA) measurements. Owing to the nonconvex nature of the maximum-likelihood (ML) estimation problem, it is difficult to obtain its globally optimal solution without a good initial estimate. Thus, we reformulate the localization problem as a weighted least squares (WLS) problem and perform semidefinite relaxation (SDR) to obtain a convex semidefinite programming (SDP) problem. Although SDP is a relaxation of the original WLS problem, it facilitates accurate estimate without postprocessing. Moreover, this method is extended to solve the localization problem when there are errors in sensor positions and velocities. Simulation results show that the proposed method achieves a significant performance improvement over existing methods.
Accession Number: 13307166
Document Type: Journal Paper
Language: English
Treatment: Practical, Theoretical or Mathematical
Controlled Indexing: convex programming; direction-of-arrival estimation; maximum likelihood estimation; relaxation theory; wireless sensor networks
Uncontrolled Indexing: semidefinite relaxation method; source localization; TDOA measurement; FDOA measurement; sensor network; time-difference-of-arrival measurement; frequency-difference-of-arrival measurement; maximum-likelihood estimation problem; weighted least squares problem; convex semidefinite programming problem
Classification Codes: B6250K Wireless sensor networks; B6140 Signal processing and detection; B0290Z Other numerical methods; B0260 Optimisation techniques; B0240Z Other topics in statistics
International Patent Classification: H04B7/00 Radio transmission systems, i.e. using radiation field; H04W Wireless communication networks
Author Address: Gang Wang; Youming Li; Coll. of Inf. Sci. & Eng., Ningbo Univ., Ningbo, China.
Ansari, N.; Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA.
Publisher: IEEE, USA
Research Areas: Telecommunications; Communication; Mathematics (provided by Thomson Reuters)
Number of References: 34
CODEN: ITVTAB
ISSN: 0018-9545
U.S. Copyright Clearance Center Code: 0018-9545/$31.00 |
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