DocumentCode :
2742913
Title :
Distributed posterior Cramér-Rao lower bound for nonlinear sequential Bayesian estimation
Author :
Mohammadi, Arash ; Asif, Amir
Author_Institution :
Comput. Sci. & Eng., York Univ., Toronto, ON, Canada
fYear :
2012
fDate :
17-20 June 2012
Firstpage :
509
Lastpage :
512
Abstract :
In distributed sensor networks, the posterior Cramér-Rao lower bound (PCRLB) has recently been used [1] as a selection criteria for sensor management decisions, where new sensor nodes are deployed or existing ones reactivated to optimize the network´s performance. Previous algorithms to compute the PCRLB are derived for the centralized [2] and hierarchical architectures [3] using a fusion centre that makes them inappropriate for distributed sensor management. Only recently a suboptimal expression [1] for the distributed architecture has been proposed, which can at times lead to large errors especially in systems with highly non-linear dynamics. The paper derives the optimal PCRLB for the distributed architecture. In other words, we derive a recursive procedure to determine the overall Fisher information matrix (FIM), i.e., the inverse of the PCRLB, from local FIMs of the distributed estimators. The proposed distributed PCRLB is independent of the filtering mechanism used and closely follows its centralized counterpart.
Keywords :
Bayes methods; matrix algebra; sensor fusion; wireless sensor networks; distributed architecture; distributed estimators; distributed posterior Cramer-Rao lower bound; distributed sensor management; distributed sensor networks; filtering mechanism; fusion centre; hierarchical architectures; highly nonlinear dynamics; network performance; nonlinear sequential Bayesian estimation; overall Fisher information matrix; recursive procedure; sensor management decisions; sensor nodes; Approximation methods; Bayesian methods; Computational modeling; Computer architecture; Estimation; Target tracking; Vectors; Bayesian Estimation; Distributed Signal Processing; Particle Filters; Posterior Cramér Rao Lower Bounds;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Sensor Array and Multichannel Signal Processing Workshop (SAM), 2012 IEEE 7th
Conference_Location :
Hoboken, NJ
ISSN :
1551-2282
Print_ISBN :
978-1-4673-1070-3
Type :
conf
DOI :
10.1109/SAM.2012.6250552
Filename :
6250552
Link To Document :
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