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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.

- Publication
- IEICE TRANSACTIONS on Communications Vol.E85-B No.9 pp.1817-1823

- Publication Date
- 2002/09/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Sensing

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Qun WAN, Ying-Ning PENG, "An Improved 3-Dimensional Mobile Location Method Using Volume Measurements of Tetrahedron" in IEICE TRANSACTIONS on Communications,
vol. E85-B, no. 9, pp. 1817-1823, September 2002, doi: .

Abstract: 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.

URL: https://global.ieice.org/en_transactions/communications/10.1587/e85-b_9_1817/_p

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@ARTICLE{e85-b_9_1817,

author={Qun WAN, Ying-Ning PENG, },

journal={IEICE TRANSACTIONS on Communications},

title={An Improved 3-Dimensional Mobile Location Method Using Volume Measurements of Tetrahedron},

year={2002},

volume={E85-B},

number={9},

pages={1817-1823},

abstract={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.},

keywords={},

doi={},

ISSN={},

month={September},}

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TY - JOUR

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

T2 - IEICE TRANSACTIONS on Communications

SP - 1817

EP - 1823

AU - Qun WAN

AU - Ying-Ning PENG

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Communications

SN -

VL - E85-B

IS - 9

JA - IEICE TRANSACTIONS on Communications

Y1 - September 2002

AB - 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.

ER -