Decentralized estimation of regression coefficients in sensor networks

Liran Gispan*, Amir Leshem, Yair Be'ery

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

Consider a wireless sensor network with a fusion center deployed to estimate a common non-random parameter vector. Each sensor obtains a noisy observation vector of the non-random parameter vector according to a linear regression model. The observation noise is correlated across the sensors. Due to power, bandwidth and complexity limitations, each sensor linearly compresses its data. The compressed data from the sensors are transmitted to the fusion center, which linearly estimates the non-random parameter vector. The goal is to design the compression matrices at the sensors and the linear unbiased estimator at the fusion center such that the total variance of the estimation error is minimized. In this paper, we provide necessary and sufficient conditions for achieving the performance of the centralized best linear unbiased estimator. We also provide the optimal compression matrices and the optimal linear unbiased estimator when these conditions are satisfied. When these conditions are not satisfied, we propose a sub-optimal algorithm to determine the compression matrices and the linear unbiased estimator. Simulation results are provided to illustrate the effectiveness of the proposed algorithm.

Original languageAmerican English
Pages (from-to)16-23
Number of pages8
JournalDigital Signal Processing: A Review Journal
Volume68
DOIs
StatePublished - Sep 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017

Keywords

  • Decentralized estimation
  • Dimensionality reduction
  • Linear regression model
  • Wireless sensor networks

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