Browsing by Subject "Ziv-Zakai bound"
Now showing 1 - 2 of 2
Results Per Page
Sort Options
Item Open Access Fundamental limits on RSS based range estimation in visible light positioning systems(IEEE, 2015-12) Gonendik, E.; Gezici, SinanIn 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 Cramer-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.Item Open Access Improved lower bounds for ranging in synchronous visible light positioning systems(Institute of Electrical and Electronics Engineers Inc., 2016) Keskin, M. F.; Gonendik, E.; Gezici, SinanIn 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.