Distributed non-parametric estimation in a bandwidth-constrained sensor network

Pu Wang, Hongbin Li, Jun Fang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Non-parametrie estimation of an unknown position parameter in a bandwidth-constrained wireless sensor network (WSN) is considered in this paper. Due to bandwidth constraint, each sensor is restricted to send only one bit of information to a fusion center. We propose a non-parametric estimator that employs a recently introduced adaptive quantization (AQ) scheme. Specifically, the position parameter is estimated as the sample mean of the quantization thresholds used in AQ. The proposed non-parametric estimator is based on the fact that the AQ thresholds asymptotically converge (in mean) to the unknown position parameter, under the condition that the position parameter is an integer multiple of the stepsize used in AQ. When the condition is not met, there is a bias which can, however, be made negligible by choosing the stepsize to be small (compared with the position parameter). Numerical results are provided to demonstrate the effectiveness of the proposed non-parametric estimator.

Original languageEnglish
Title of host publicationCISS 2008, The 42nd Annual Conference on Information Sciences and Systems
Pages1031-1036
Number of pages6
DOIs
StatePublished - 2008
EventCISS 2008, 42nd Annual Conference on Information Sciences and Systems - Princeton, NJ, United States
Duration: 19 Mar 200821 Mar 2008

Publication series

NameCISS 2008, The 42nd Annual Conference on Information Sciences and Systems

Conference

ConferenceCISS 2008, 42nd Annual Conference on Information Sciences and Systems
Country/TerritoryUnited States
CityPrinceton, NJ
Period19/03/0821/03/08

Keywords

  • Distributed estimation
  • Non-parametric estimation
  • Wireless sensor network

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