8 Citations (Scopus)

Abstract

A distributed estimation problem is considered with multiple-access channels between sensors and a fusion center. The sensors phase-modulate their noisy observations before transmitting them to the fusion center, where a signal parameter is estimated. The asymptotic efficiency of this estimator is then determined by using two inequalities that relate the Fisher information and the characteristic function. A necessary and sufficient condition for equality is found for the first time in the literature. The loss in efficiency of the distributed estimation scheme relative to the centralized approach is quantified for different sensing noise distributions. It is shown that this distributed estimation system does not incur an efficiency loss if and only if the sensing noise distribution is Gaussian.

Original languageEnglish (US)
Article number6034745
Pages (from-to)7125-7130
Number of pages6
JournalIEEE Transactions on Information Theory
Volume57
Issue number10
DOIs
StatePublished - Oct 2011

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efficiency
Fusion reactions
Sensors
Gaussian distribution
equality
literature

Keywords

  • Asymptotic efficiency
  • characteristic function
  • distributed estimation
  • Fisher information
  • wireless sensor network

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Cite this

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title = "On the asymptotic efficiency of distributed estimation systems with constant modulus signals over multiple-access channels",
abstract = "A distributed estimation problem is considered with multiple-access channels between sensors and a fusion center. The sensors phase-modulate their noisy observations before transmitting them to the fusion center, where a signal parameter is estimated. The asymptotic efficiency of this estimator is then determined by using two inequalities that relate the Fisher information and the characteristic function. A necessary and sufficient condition for equality is found for the first time in the literature. The loss in efficiency of the distributed estimation scheme relative to the centralized approach is quantified for different sensing noise distributions. It is shown that this distributed estimation system does not incur an efficiency loss if and only if the sensing noise distribution is Gaussian.",
keywords = "Asymptotic efficiency, characteristic function, distributed estimation, Fisher information, wireless sensor network",
author = "Cihan Tepedelenlioglu and Banavar, {Mahesh K.} and Andreas Spanias",
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language = "English (US)",
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AU - Tepedelenlioglu, Cihan

AU - Banavar, Mahesh K.

AU - Spanias, Andreas

PY - 2011/10

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N2 - A distributed estimation problem is considered with multiple-access channels between sensors and a fusion center. The sensors phase-modulate their noisy observations before transmitting them to the fusion center, where a signal parameter is estimated. The asymptotic efficiency of this estimator is then determined by using two inequalities that relate the Fisher information and the characteristic function. A necessary and sufficient condition for equality is found for the first time in the literature. The loss in efficiency of the distributed estimation scheme relative to the centralized approach is quantified for different sensing noise distributions. It is shown that this distributed estimation system does not incur an efficiency loss if and only if the sensing noise distribution is Gaussian.

AB - A distributed estimation problem is considered with multiple-access channels between sensors and a fusion center. The sensors phase-modulate their noisy observations before transmitting them to the fusion center, where a signal parameter is estimated. The asymptotic efficiency of this estimator is then determined by using two inequalities that relate the Fisher information and the characteristic function. A necessary and sufficient condition for equality is found for the first time in the literature. The loss in efficiency of the distributed estimation scheme relative to the centralized approach is quantified for different sensing noise distributions. It is shown that this distributed estimation system does not incur an efficiency loss if and only if the sensing noise distribution is Gaussian.

KW - Asymptotic efficiency

KW - characteristic function

KW - distributed estimation

KW - Fisher information

KW - wireless sensor network

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