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Performance of UWB position estimation based on time-of-arrival measurements

by: Kegen Yu, I Oppermann
Ultra Wideband Systems, 2004. Joint with Conference on Ultrawideband Systems and Technologies. Joint UWBST & IWUWBS. 2004 International Workshop on (2004), pp. 400-404.


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The paper reports on the development of a low-cost device for low data rate communications with tracking and positioning capabilities. We investigate the performance of two different position estimation methods based on the estimate of the time-of-arrival (TOA) of the UWB signal at a set of receivers/sensors. The performance evaluation is performed in terms of the root mean-squared (RMS) error of the position coordinates estimation and the failure rate. We first study the direct-calculation method which gives exact solutions of a set of simultaneous equations. We then study one of the classical nonlinear optimization techniques, the Davidon-Fletcher-Powell (DFP) quasi-Newton algorithm. Both the direct-calculation method and the nonlinear optimization algorithms do not require any knowledge of the TOA estimation error variance or distribution. This advantage would be attractive for practical applications.


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