Improved lower bounds for ranging in synchronous visible light positioning systems

Date
2016
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Lightwave Technology
Print ISSN
0733-8724
Electronic ISSN
Publisher
Institute of Electrical and Electronics Engineers Inc.
Volume
34
Issue
23
Pages
5496 - 5504
Language
English
Journal Title
Journal ISSN
Volume Title
Series
Abstract

In this study, the Ziv-Zakai bound (ZZB) is derived for synchronous visible light positioning (VLP) systems. The proposed ZZB extracts ranging information from the prior information, the time delay parameter, and the channel attenuation factor based on the Lambertian pattern. In addition to the ZZB, the Bayesian Cram�r-Rao bound (CRB) and the weighted CRB (WCRB) are calculated for synchronous VLP systems. Furthermore, a closed-form expression is obtained for the expectation of the conditional CRB (ECRB). Numerical examples are presented to compare the bounds against each other and against the maximum a posteriori probability (MAP) estimator. It is observed that the ZZB can provide a reasonable lower limit on the performance of MAP estimators. On the other hand, the WCRB and the ECRB converge to the ZZB in regions of low and high source optical powers, respectively; however, they are not tight in other regions. � 2016 IEEE.

Course
Other identifiers
Book Title
Citation
Published Version (Please cite this version)