Training Convergence in Range-Based Cooperative Positioning with Stochastic Positional Knowledge

Ziming HE; Yi MA; Rahim TAFAZOLLI

doi:10.1587/transfun.E95.A.1200

Training Convergence in Range-Based Cooperative Positioning with Stochastic Positional Knowledge

Ziming HE, Yi MA, Rahim TAFAZOLLI

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This letter investigates the training convergence in range-based cooperative positioning with stochastic positional knowledge. Firstly, a closed-form of squared position-error bound (SPEB) is derived with error-free ranging. Using the derived closed-form, it is proved that the SPEB reaches its minimum when at least 2 out of N (> 2) agents send training sequences. Finally, numerical results are provided to elaborate the theoretical analysis with zero-mean Gaussian ranging errors.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.7 pp.1200-1204

Publication Date: 2012/07/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.1200

Type of Manuscript: LETTER

Category: Information Theory

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Ziming HE, Yi MA, Rahim TAFAZOLLI, "Training Convergence in Range-Based Cooperative Positioning with Stochastic Positional Knowledge" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 7, pp. 1200-1204, July 2012, doi: 10.1587/transfun.E95.A.1200.
Abstract: This letter investigates the training convergence in range-based cooperative positioning with stochastic positional knowledge. Firstly, a closed-form of squared position-error bound (SPEB) is derived with error-free ranging. Using the derived closed-form, it is proved that the SPEB reaches its minimum when at least 2 out of N (> 2) agents send training sequences. Finally, numerical results are provided to elaborate the theoretical analysis with zero-mean Gaussian ranging errors.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.1200/_p

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@ARTICLE{e95-a_7_1200,
author={Ziming HE, Yi MA, Rahim TAFAZOLLI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Training Convergence in Range-Based Cooperative Positioning with Stochastic Positional Knowledge},
year={2012},
volume={E95-A},
number={7},
pages={1200-1204},
abstract={This letter investigates the training convergence in range-based cooperative positioning with stochastic positional knowledge. Firstly, a closed-form of squared position-error bound (SPEB) is derived with error-free ranging. Using the derived closed-form, it is proved that the SPEB reaches its minimum when at least 2 out of N (> 2) agents send training sequences. Finally, numerical results are provided to elaborate the theoretical analysis with zero-mean Gaussian ranging errors.},
keywords={},
doi={10.1587/transfun.E95.A.1200},
ISSN={1745-1337},
month={July},}

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TY - JOUR
TI - Training Convergence in Range-Based Cooperative Positioning with Stochastic Positional Knowledge
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1200
EP - 1204
AU - Ziming HE
AU - Yi MA
AU - Rahim TAFAZOLLI
PY - 2012
DO - 10.1587/transfun.E95.A.1200
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2012
AB - This letter investigates the training convergence in range-based cooperative positioning with stochastic positional knowledge. Firstly, a closed-form of squared position-error bound (SPEB) is derived with error-free ranging. Using the derived closed-form, it is proved that the SPEB reaches its minimum when at least 2 out of N (> 2) agents send training sequences. Finally, numerical results are provided to elaborate the theoretical analysis with zero-mean Gaussian ranging errors.
ER -