ADMM-Based TDOA Estimation

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Abstract
Accurate estimation of time difference of arrival (TDOA) between sensors is a fundamental problem in various applications of sensor networks. In this letter, a novel algorithm is proposed to estimate TDOAs based on low-rank essence of a TDOA matrix, whose entry (i, j) denotes TDOA value between sensors i and j with respect to a common reference source. To enhance the robustness of the proposed algorithm, we further introduce the Gram matrix of the TDOA matrix, resulting in a semidefinite programming estimation problem. An efficient alternating direction method of multipliers is developed to improve the scalability of the proposed algorithm. Simulation results validate the performance of the proposed algorithm.
Funding Information
  • National Natural Science Foundation of China (61471157, 61401148, 61501169, 61501170, 61772090)
  • Fundamental Research Funds for the Central Universities (26120182018B23014)
  • Key Development Program of Jiangsu Province of China (BE2017071, BE2017647)
  • Projects of International Cooperation and Exchanges of Changzhou of China (CZ20170018)

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