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26941 Error Bounds for Localization with Noise Diversity
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Le, Viet Duc and Kamminga, J.W. and Scholten, J. and Havinga, P.J.M. (2016) Error Bounds for Localization with Noise Diversity. In: Proceedings of the International Conference on Distributed Computing in Sensor Systems (DCOSS 2016), 26-28 May 2016, Washington, DC, USA. pp. 83-92. IEEE Communications Society. ISBN 9781509014613

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Official URL: http://dx.doi.org/10.1109/DCOSS.2016.18

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Abstract

In the context of acoustic monitoring, the location of a sound source can be passively estimated by exploiting time-of-arrival and time-difference-of-arrival measurements. To evaluate the fundamental hardness of a location estimator, the Cramer-Rao bound (CRB) has been used by many researchers. The CRB is computed by inverting the Fisher Information Matrix (FIM), which measures the amount of information carried by given distance measurements. The measurements are commonly expressed as actual distances plus white noise. However, the measurements do include extra noise types caused by time synchronization, acoustic sensing latency, and signal-tonoise ratio. Such noise can significantly affect the performance and depend highly on the sensing platforms such as Android smartphones. In this paper, we first remodel the acousticbased distance measurements considering such additive errors. Then, we derive a new FIM with the new statistical ranging error models. As a result, we obtain new CRBs for both noncooperative and cooperative localization schemes that provide better insight into the causality of the uncertainties. Theoretical analysis also proves that the proposed CRBs for localization become the old CRBs when the additional errors are ignored, which gives a robust check for the new CRBs. Thus, the new CRBs can serve as a benchmark for localization estimators with both new and old measurement models. The new CRBs also indicate that there is room to improve current localization schemes; however, it is a daunting challenge.

Item Type:Conference or Workshop Paper (Full Paper, Talk)
Research Group:EWI-PS: Pervasive Systems
Research Program:CTIT-General
Research Project:COMMIT/SENSA: Sensor Networks for Public Safety
Uncontrolled Keywords:sound localization, Cramer-Rao bound, time of arrivals, time difference of arrivals, smartphone diversity, noise diversity
ID Code:26941
Status:Published
Deposited On:19 May 2016
Refereed:Yes
International:Yes
More Information:statisticsmetis

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