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Multiterminal Filtering for Decentralized Detection Systems
Te Sun HAN Kingo KOBAYASHI
Publication
IEICE TRANSACTIONS on Communications
Vol.E75B
No.6
pp.437444 Publication Date: 1992/06/25 Online ISSN:
DOI: Print ISSN: 09168516 Type of Manuscript: INVITED PAPER (Special Issue on Communication Theory) Category: Keyword: multiterminal information theory, multiterminal statistics, distributed sensors system, decentralized detection, correlated Gaussian noise, transmission rate constraint, multidimensional KarhunenLoeve expansion, multiterminal North filter, the LWR fast algorithm,
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Summary:
The optimal coding strategy for signal detection in the correlated gaussian noise is established for the distributed sensors system with essentially zero transmission rate constraint. Specifically, we are able to obtain the same performance as in the situation of no restriction on rate from each sensor terminal to the fusion center. This simple result contrasts with the previous ad hoc studies containing many unnatural assumptions such as the independence of noises contaminating received signal at each sensor. For the design of optimal coder, we can use the classical LevinsonWigginsRobinson fast algorithm for block Toeplitz matrix to evaluate the necessary weight vector for the maximumlikelihood detection.

