Sequential Iterative Cramer-Rao Bound Containing NLOS Signal in Cooperative Localization
Siming Li, Guangxia Li, Jing Lv, Weiheng Dai, Shiwei Tian, Shiwei Tian, Qian Meng
Abstract
Siming Li, Guangxia Li, Jing Lv, Weiheng Dai, Shiwei Tian, Shiwei Tian, Qian Meng
Abstract
Cramer-Rao Lower Bound (CRLB) has been extensively utilized for wireless location network for its concision and closed form property. In this paper, a generally analytical method and a sequential iterative CRLB (I-CRLB) is proposed and derived for multi-node collaborative scenario with consideration of NLOS distance measurements. According to positively biased property, NLOS range error is fitted by real measurements data, and modeled as Gamma distribution. Based on Gamma distribution, the I-CRLB is obtained by the joint probability of the measurements and system states. This bound is iteratively calculated by chain rules and presents the theoretical accuracy limit of any position estimators under NLOS environments.
OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Cramer-Rao Lower Bound (CRLB) has been extensively utilized for wireless location network for its concision and closed form property. In this paper, a generally analytical method and a sequential iterative CRLB (I-CRLB) is proposed and derived for multi-node collaborative scenario with consideration of NLOS distance measurements. According to positively biased property, NLOS range error is fitted by real measurements data, and modeled as Gamma distribution. Based on Gamma distribution, the I-CRLB is obtained by the joint probability of the measurements and system states. This bound is iteratively calculated by chain rules and presents the theoretical accuracy limit of any position estimators under NLOS environments.
Key concepts: Cramér–Rao bound, Non-line-of-sight propagation, Upper and lower bounds, Estimator, Algorithm, Position (finance), Computer science, Estimation theory