Open AccessMultidimensional scaling‐based passive emitter localisation from time difference of arrival measurements with sensor position uncertainties
Author(s) -
Cao Jingmin,
Wan Qun,
Ouyang Xinxin,
Ahmed Hesham I.
Publication year - 2017
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
ISSN - 1751-9683
DOI - 10.1049/iet-spr.2015.0567
Subject(s) - estimator , cramér–rao bound , position (finance) , mean squared error , common emitter , multilateration , algorithm , noise (video) , scaling , mathematics , computer science , square (algebra) , computation , upper and lower bounds , statistics , artificial intelligence , mathematical analysis , electronic engineering , engineering , geometry , finance , economics , azimuth , image (mathematics)
This paper proposed a novel weighted multidimensional scaling (MDS) estimator for estimating the position of a stationary emitter with sensor position uncertainties using time‐difference‐of‐arrival measurements. The solution is closed form and unbiased. It is shown analytically to achieve the Cramer–Rao lower bound performance in small noise region. Simulation results show that the proposed estimator offers smaller bias and mean square error than the two‐step weighted least square approach and traditional MDS estimator ignoring sensor position uncertainties at moderate noise level. Additionally, the computation complexities of them are comparable.