Optimal pulse design for visible light positioning systems

Date
2021-10-16
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Signal Processing
Print ISSN
0165-1684
Electronic ISSN
1872-7557
Publisher
Elsevier BV
Volume
191
Issue
Pages
108334- 1 - 108334- 12
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Series
Abstract

The problem of optimal pulse design for light-emitting diode (LED) transmitters is investigated in an indoor visible light positioning (VLP) setup. In particular, the problem of localization performance maximization is formulated for both asynchronous and synchronous VLP systems with consideration of practical limitations related to power consumption, illumination levels, and/or effective bandwidths, while quantifying the localization accuracy via the Cramér–Rao lower bound (CRLB). In both asynchronous and synchronous scenarios, the formulated problems are shown to be convex optimization problems, and some properties of the optimal solutions are derived. In addition, the pulse design problem for minimum power consumption is formulated under a CRLB constraint along with other practical limitations; and this problem is also revealed to be a convex optimization problem. Based on the solutions of the proposed optimization problems, pulse design procedures are described to determine the parameters of optimal pulse shapes. Numerical results illustrate the benefits of the proposed optimal pulse design approach in comparison with the state-of-the-art optimal power allocation scheme in the literature. In particular, electrical power consumption can be reduced by around 45% or localization accuracy can be improved by as much as 25% via the proposed optimal pulse design approach in certain scenarios.

Course
Other identifiers
Book Title
Keywords
Visible light positioning, Power efficiency, Cramér–Rao lower bound, Pulse design, Convex optimization
Citation
Published Version (Please cite this version)