Fundamental Limits on RSS Based Range Estimation in Visible Light Positioning Systems

Author

Gonendik, Erdal ; Gezici, Sinan

Author_Institution

Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey

Volume

19

Issue

12

fYear

2015

Firstpage

2138

Lastpage

2141

Abstract

In this study, theoretical limits are obtained for the accuracy of range (distance) estimation in visible light positioning (VLP) systems. In particular, the Ziv-Zakai bound (ZZB) and the weighted Cramér-Rao bound (WCRB) are derived for range estimation based on received signal strength (RSS) measurements. Also, the maximum a posteriori probability (MAP) and the minimum mean-squared error (MMSE) estimators are obtained for RSS based range estimation, and compared against the theoretical limits.

Keywords

RSSI; free-space optical communication; indoor navigation; least mean squares methods; maximum likelihood estimation; MAP; MMSE estimators; RSS based range estimation; RSS measurements; VLP systems; WCRB; ZZB; Ziv-Zakai bound; distance estimation; maximum a posteriori probability; minimum mean-squared error estimators; received signal strength measurements; visible light positioning systems; weighted Cramér-Rao bound; Estimation; Light emitting diodes; Noise measurement; Probability density function; Receivers; Transmitters; Cram??r-Rao bound; Cramer-Rao bound; Visible light; Ziv-Zakai bound; range estimation;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2015.2493532

Filename

7303890