An Improved 3-Dimensional Mobile Location Method Using Volume Measurements of Tetrahedron

Qun WAN  Ying-Ning PENG  

IEICE TRANSACTIONS on Communications   Vol.E85-B   No.9   pp.1817-1823
Publication Date: 2002/09/01
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Sensing
3-dimensional location,  range measurements,  volume measurements,  altitude estimate,  

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Since the deployment of base stations (BS's) is far from optimum in 3-dimensional (3-D) space, i.e., the vertical baseline is relatively shorter than the planar baseline, the geometric degradation of precision of the altitude estimate is larger than that of the planar location. This paper considers the problem of 3-D range location and attempt to improve the altitude estimate. We first use a volume formula of tetrahedron to transform the range measurements to the volume measurements, then a novel pseudo-linear solution is proposed based on a linear relationship between the rectangular and the volume coordinates. Theory analysis and numerical examples are included to show the improved accuracy of the altitude estimate of mobile location. Finally, an improved estimate of 3-D mobile location is given by solving a set of augmented linear equations.