Title :
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
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;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2015.2493532
