Global SNR maximization for distributed estimation and capacity of data collection in wireless sensor networks using individual power constraint

Ajib Setyo Arifin, Tomoaki Ohtsuki

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

Abstract

We consider distributed estimation in wireless sensor networks (WSNs). Using linear minimum mean squared error (LMMSE) estimator, we derive mean squared error (MSE) to measure the quality of estimation. We introduce a global signal to noise ratio (SNR), where we can derive capacity of data collection in terms of mutual information as reciprocity of MSE. Based on the global SNR, we derive equal power allocation and optimal power allocation in orthogonal multiple access channel (MAC) models. We also derive asymptotic behavior of the global SNR when the power and the number of sensors become unlimited. We minimize MSE as well as maximize mutual information by considering total and individual power constraints. We show that MSE and mutual information of equal power allocation outperforms optimal power allocation. Moreover, system with individual power constraint is worse than the system without that because the suggested power to be allocated is constrained by maximum transmit power of the sensors.

Original languageEnglish
Title of host publication2014 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9786163618238
DOIs
Publication statusPublished - 12 Feb 2014
Event2014 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2014 - Chiang Mai, Thailand
Duration: 9 Dec 201412 Dec 2014

Publication series

Name2014 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2014

Conference

Conference2014 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2014
Country/TerritoryThailand
CityChiang Mai
Period9/12/1412/12/14

Keywords

  • distributed estimation
  • individual power constraint
  • mean squared error (MSE)
  • mutual information
  • orthogonal MAC

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