Minimal energy decentralized estimation via exploiting the statistical knowledge of sensor noise variance

Jwo-Yuh Wu*, Qian Zhi Huang, Ta-Sung Lee

*Corresponding author for this work

Research output: Contribution to journalArticle

35 Scopus citations

Abstract

We study the problem of minimal-energy decentralized estimation via sensor networks with the best-linear-unbiased-estimator fusion rule. While most of the existing solutions require the knowledge of instantaneous noise variances for energy allocation, the proposed approach instead relies on an associated statistical model. The minimization of total energy is subject to a performance constraint in terms of the reciprocal of mean square errors averaged over the considered distribution. A closed-form formula for such a mean distortion metric, as well as an associated tractable lower bound, is derived. By imposing a target distortion constraint in terms of this bound and further through feasible set relaxation, the problem can be reformulated in the form of convex optimization and is then analytically solved. The proposed method shares several attractive features of the existing designs via instantaneous noise variances. Through simulations it is seen to significantly improve the energy efficiency against the uniform allocation scheme.

Original languageEnglish
Pages (from-to)2171-2176
Number of pages6
JournalIEEE Transactions on Signal Processing
Volume56
Issue number5
DOIs
StatePublished - 1 Dec 2008

Keywords

  • Convex optimization
  • Decentralized estimation
  • Energy minimization
  • Quantization
  • Sensor networks

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