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Open Access

On the Geolocation Bounds for Round-Trip Time-of-Arrival and All Non-Line-of-Sight Channels

EURASIP Journal on Advances in Signal Processing20072008:584670

Received: 20 February 2007

Accepted: 28 October 2007

Published: 13 November 2007


The development of future geolocation systems requires a fundamental understanding of the importance of various system parameters, such as the number of sensors, the SNR, bandwidth, and channel conditions. We consider the bounds on time-based geolocation accuracy when all sensors experience non-line-of-sight (NLOS) conditions. While location accuracy generally improves with additional bandwidth, we find that NLOS effects place a limit on these gains. Our evaluation focuses on indoor geolocation where Rayleigh fading is present, different average SNR conditions occur on each link, and the sensors may not fully encircle the user. We introduce a new bound for round-trip time-of-arrival (RT-TOA) systems. We find that time-of-arrival (TOA) outperforms time-difference-of-arrival TDOA and RT-TOA, but the relative ordering of the latter two depends on the sensor geometry.


Information TechnologySystem ParameterQuantum InformationChannel ConditionLocation Accuracy

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Authors’ Affiliations

Alcatel-Lucent, Bell Labs, Holmdel, USA


© Laurence Mailaender. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.