Open AccessAlgebraic distributed source localisation algorithm using TDOA and AOA measurements
Author(s) -
Liu Zhixin,
Zhao Yongsheng,
Jin Ke,
Hu Dexiu,
Wang Rui,
Zhao Yongjun
Publication year - 2019
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2019.0372
Subject(s) - multilateration , estimator , algorithm , weighting , computer science , algebraic equation , set (abstract data type) , position (finance) , angle of arrival , upper and lower bounds , fdoa , algebraic number , noise (video) , cramér–rao bound , mathematics , estimation theory , statistics , nonlinear system , acoustics , telecommunications , artificial intelligence , mathematical analysis , geometry , image (mathematics) , azimuth , quantum mechanics , programming language , physics , finance , antenna (radio) , economics
This study proposes an algebraic distributed source localisation algorithm that combines time difference of arrival (TDOA) and angle of arrival (AOA) measurements. The proposed algorithm uses AOAs to remove the unknown parameters in TDOA equations caused by the specially distributed structure. Then, the observation equations are transformed into a set of pseudo‐linear equations and apply linear weighted least square to obtain the source position. The application of weighting matrix can lead to an approximate maximum likelihood estimator and produce a substantial improvement in source localisation accuracy. Both theoretical analysis and simulation results indicate the efficiency of the proposed algorithm and its performance can achieve the Cramer–Rao lower bound at a moderate noise level.