Algebraic Solution for Source Localization by Using TOA-based Asymmetric Trip Ranging

摘要

An Asymmetric Trip Ranging (ATR) protocol is proposed for TOA-based wireless localization. The TOA-based localization model is represented as linear estimation problem by using ATR protocol. The proposed Weighted Least Square (WLS) algorithm provides an algebraic solution to the source location. Then the Constrained Weighted Least Square (CWLS) algorithm is designed to improve the localization result by availing the relationship of the estimate. The WLS and CWLS algorithms represent the source location as algebraic form which does not require the initial solution. The simulations show that the performance of the proposed algorithms provide accurate source location estimation for TOA-based wireless localization. Compared with the WLS algorithm, the positioning error of CWLS algorithm is reduced. The performance of the CWLS algorithm is more close to the Cramer-Rao Lower Bound (CRLB) than that of the WLS algorithm.