Distributed estimation of a spatially correlated random field in decentralized sensor networks

Zuoen Wang, Jingxian Wu, Jing Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

We study the distributed estimations of a spatially correlated random field with decentralized wireless sensor networks (WSNs). Nodes in the WSN take spatial samples of the random field, then each node estimates the values of arbitrary points on the random field by iteratively exchanging information with each other, without the need of a central controller. The objective is to minimize the time (or number of iterations) required for all nodes in the network to reach a distributed consensus on the estimation result, with mean squared error (MSE) below a certain threshold. We find the sufficient conditions for this optimization problem, and identify the asymptotically optimum solutions when time is large and the MSE threshold is small. Specifically, we propose a distributed iterative estimation algorithm that defines the procedures for both information propagation and information estimation in each iteration. The key parameters of the algorithm, including an edge weight matrix and a sample weight matrix, are designed by following the asymptotically optimum criteria. It is shown that the asymptotically optimum performance can be achieved by distributively projecting the measurement samples into a subspace related to the covariance matrices of data and noise samples. Simulation results show that all nodes in a large network can obtain accurate estimation results with only a few iterations.

Original languageEnglish (US)
Title of host publication2017 IEEE International Conference on Communications, ICC 2017
EditorsMerouane Debbah, David Gesbert, Abdelhamid Mellouk
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467389990
DOIs
StatePublished - Jul 28 2017
Event2017 IEEE International Conference on Communications, ICC 2017 - Paris, France
Duration: May 21 2017May 25 2017

Other

Other2017 IEEE International Conference on Communications, ICC 2017
CountryFrance
CityParis
Period5/21/175/25/17

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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    Wang, Z., Wu, J., & Yang, J. (2017). Distributed estimation of a spatially correlated random field in decentralized sensor networks. In M. Debbah, D. Gesbert, & A. Mellouk (Eds.), 2017 IEEE International Conference on Communications, ICC 2017 [7996323] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICC.2017.7996323