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Space-time localization using times of arrival

Authors: Sriram Venkateswaran; Upamanyu Madhow;

Space-time localization using times of arrival

Abstract

We provide a computationally efficient framework for utilizing Time of Arrival (ToA) sensors to localize multiple events in close proximity in space and time. Conventional ToA-based localization algorithms are typically designed for single events. Na¨ive approaches for associating ToAs with events and then applying a conventional localization algorithm incur complexity exponential in the number of sensors. An alternative approach of hypothesis testing over a space-time grid also has excessive complexity for large deployment regions. We propose an approach that sidesteps such computational bottlenecks by using discretization in time to efficiently generate a list of candidate events (including true as well as “phantom” events), and then employ statistical techniques to refine these estimates and to solve the ToA-to-event matching problem using linear programming on a bipartite graph. The algorithm automatically rejects phantom events and accounts for misses and outliers, providing performance close to that of a genie-based algorithm with ideal knowledge of ToA-to-event matching.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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