Optimal distributed estimation in wireless sensor networks with spatially correlated noise sources

A sensor network's motes observe the environment, make estimates based on observations with spatially correlated noise sources, and then send/relay these estimates to a Cluster-Head (CH). A novel scheme based on dithered quantization and channel compensation is used to ensure that each mote's local estimate received by the CH is unbiased. Based on an upper bound of the noise covariance matrix, the CH fuses these unbiased local estimates into a global one using a Best Linear Unbiased Estimator (BLUE). We evaluate the mean square error(MSE) of the final estimate by both analysis and simulation.

[1]  Ian F. Akyildiz,et al.  Wireless sensor networks: a survey , 2002, Comput. Networks.

[2]  Amy R. Reibman,et al.  Design of quantizers for decentralized estimation systems , 1993, IEEE Trans. Commun..

[3]  Ghassan Al-Regib,et al.  Rate-Constrained Distributed Estimation in Wireless Sensor Networks , 2007, IEEE Trans. Signal Process..

[4]  E. Masry,et al.  Minimum complexity regression estimation with weakly dependent observations , 1996, Proceedings of 1994 Workshop on Information Theory and Statistics.

[5]  John A. Gubner,et al.  Distributed estimation and quantization , 1993, IEEE Trans. Inf. Theory.

[6]  Edward J. Coyle,et al.  Minimizing communication costs in hierarchically clustered networks of wireless sensors , 2003, 2003 IEEE Wireless Communications and Networking, 2003. WCNC 2003..

[7]  A. Willsky,et al.  Combining and updating of local estimates and regional maps along sets of one-dimensional tracks , 1982 .

[8]  Evaggelos Geraniotis,et al.  Distributed multisensor parameter estimation in dependent noise , 1992, IEEE Trans. Commun..

[9]  Haralabos C. Papadopoulos,et al.  Sequential signal encoding from noisy measurements using quantizers with dynamic bias control , 2001, IEEE Trans. Inf. Theory.

[10]  Edward J. Coyle,et al.  Quantization, channel compensation, and energy allocation for estimation in wireless sensor networks , 2009, 2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks.

[11]  Ravi Prakash,et al.  Max-min d-cluster formation in wireless ad hoc networks , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[12]  Zhi-Quan Luo An isotropic universal decentralized estimation scheme for a bandwidth constrained ad hoc sensor network , 2005, IEEE Journal on Selected Areas in Communications.

[13]  Zhi-Quan Luo,et al.  Decentralized estimation in an inhomogeneous sensing environment , 2005, IEEE Transactions on Information Theory.