Squared Range Weighted Least Squares Source Localization Based on the Element-Wise and Vector-Wise Orthogonality Principles

Chee-Hyun PARK  Kwang-Seok HONG  

IEICE TRANSACTIONS on Communications   Vol.E92-B   No.12   pp.3972-3975
Publication Date: 2009/12/01
Online ISSN: 1745-1345
DOI: 10.1587/transcom.E92.B.3972
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Sensing
source,  weight,  least-squares,  RMSE,  orthogonality,  differentiation,  time of arrival,  

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Estimating a location of mobile phones or sound source is of considerable interest in wireless communications and signal processing. In this letter, we propose squared range weighted least squares (SRWLS) using the range estimate attained from the Taylor series-based maximum likelihood. The weight can be determined more accurately when using the proposed method, compared with the existing methods using the variance of noise. The simulation results show that the proposed method is superior to the existing methods in RMSE as the measurement noise amount of sensors increases.