Title :
A Localization Error Estimation Method Based on Maximum Likelihood for Wireless Sensor Networks
Author :
Li, Shuai ; Meng, Max Q H ; Liang, Huawei ; You, Zhuhong ; Zhou, Yajin ; Chen, Wanming
Author_Institution :
Chinese Acad. of Sci., Hefei
Abstract :
A composed localization error estimation method is presented for the application in wireless sensor networks (WSNs) which employs maximum likelihood (ML) to locate. Two statistic indexes are given in this method to characterize the whole localization performance of WSN in error aspect. The number of WSN nodes can be determined before deploying to achieve the necessary localization accuracy. Through mathematic analysis, the expressions of mathematical expectation and standard deviation of a WSN are acquired. Besides, based on the expressions, the two indexes are calculated through Monte Carlo simulation. An application applying this method demonstrates the procedure of determining the optimum numbers of unknown nodes (who doesn´t know their positions) and anchor nodes (who know their positions).
Keywords :
Monte Carlo methods; maximum likelihood estimation; wireless sensor networks; Monte Carlo simulation; localization error estimation; mathematic analysis; mathematical expectation; maximum likelihood; standard deviation; statistic index; wireless sensor network; Automation; Equations; Error analysis; Intelligent sensors; Mathematics; Maximum likelihood detection; Maximum likelihood estimation; Monitoring; Radio frequency; Wireless sensor networks; composed error; localization error; maximum likelihood; nonlinear least square; ranging error; wireless sensor network;
Conference_Titel :
Mechatronics and Automation, 2007. ICMA 2007. International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-0828-3
Electronic_ISBN :
978-1-4244-0828-3
DOI :
10.1109/ICMA.2007.4303567
