Open AccessMultilateration method based on the variance of estimated distance in range‐free localisation
Author(s) -
Jo Chanwoong,
Lee Chaewoo
Publication year - 2016
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2016.0226
Subject(s) - multilateration , range (aeronautics) , statistics , algorithm , mathematics , reliability (semiconductor) , variance (accounting) , hop (telecommunications) , computer science , telecommunications , engineering , geometry , accounting , azimuth , business , aerospace engineering , power (physics) , physics , quantum mechanics
Most of the range‐free localisation techniques compute the position of a node through multilateration based on distances between nodes. The least squares estimation (LSE) based multilateration is used to determine the position of a node – which is optimal estimation method if all the variances of distance errors are equal. In range‐free localisation, the distances to the anchors are usually estimated by multiplying the hop count and the hop length. Since the estimated hop length is error prone, the distance estimation error and the error variance usually increase as the hop count increases. If the conventional multilateration algorithm, which gives the same weights to the estimated distances, is applied as it is, suboptimal result will be achieved because the variances of the distance estimation errors cannot be equal. In this Letter, we analyse the reliability of estimated distance and propose a novel LSE based multilateration which considers the reliability of estimated distance. Simulation results show that the proposed method improves performance compared with the existing methods.