Posterior Cramér-rao bound for anchorless tracking
Date
2013
Authors
Popescu, D.
Hedley, M.
Sathyan, T.
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Journal article
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IEEE Signal Processing Letters, 2013; 20(12):1183-1186
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Dan C. Popescu, Mark Hedley, and Thuraiappah Sathyan
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Abstract
We derive the posterior Cramer-Rao bound (PCRB) for tracking in anchorless dynamic networks consisting of static nodes at unknown locations and mobile nodes. We show that this is a type of PCRB under parametric constraints where the parameter space cannot be modeled by equation constraints. We propose a novel framework for modeling the constrained parameter manifold, as a factor manifold under the actions of a group. The approach we propose is generic, and can be used to derive lower error bounds for other parameter estimation problems where the parametric constraints cannot be optimally described by equation constraints.
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© 2013 British Crown Copyright.