Nonlinear Amplify-and-Forward Distributed Estimation over Nonidentical Channels

Robert Santucci, Mahesh K. Banavar, Cihan Tepedelenlioʇlu, Andreas Spanias

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


This paper presents the use of nonlinear distributed estimation in a wireless system transmitting over channels with random gains. Specifically, we discuss the development of estimators and analytically determine their attainable variance for two conditions: 1) when full channel state information (CSI) is available at the transmitter and receiver; and 2) when only channel gain statistics and phase information are available. For the case where full CSI is available, we formulate an optimization problem to allocate power among each of the transmitting sensors while minimizing the estimate variance. We show that minimizing the estimate variance when the transmitter is operating in its most nonlinear region can be formulated in a manner very similar to optimizing sensor gains with full CSI and linear transmitters. Furthermore, we show that the solution to this optimization problem in most scenarios is approximately equivalent to one of two low-complexity power allocation systems.

Original languageEnglish (US)
Article number6982200
Pages (from-to)5390-5395
Number of pages6
JournalIEEE Transactions on Vehicular Technology
Issue number11
StatePublished - Nov 2015


  • Channel estimation
  • Estimation
  • Mathematical model
  • Noise
  • Noise measurement
  • Optimization
  • Sensors

ASJC Scopus subject areas

  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Computer Networks and Communications
  • Automotive Engineering


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