NDLI: Distributed Estimation of a Parametric Field: Algorithms and Performance Analysis

Content Provider	IEEE Xplore Digital Library
Author	Talarico, S. Schmid, N.A. Alkhweldi, M. Valenti, M.C.
Copyright Year	1991
Abstract	This paper presents a distributed estimator for a deterministic parametric physical field sensed by a homogeneous sensor network and develops a new transformed expression for the Cramer-Rao lower bound (CRLB) on the variance of distributed estimates. Stochastic models used in this paper assume additive noise in both the observation and transmission channels. Two cases of data transmission are considered. The first case assumes a linear analog modulation of raw observations prior to their transmission to a fusion center. In the second case, each sensor quantizes its observation to M levels, and the quantized data are communicated to a fusion center. In both cases, parallel additive white Gaussian channels are assumed. The paper develops an iterative expectation-maximization (EM) algorithm to estimate unknown parameters of a parametric field, and its linearized version is adopted for numerical analysis. The performance of the developed numerical solution is compared to the performance of a simple iterative approach based on Newton's approximation. Numerical examples are provided for the case of a field modeled as a Gaussian bell. However, the distributed estimator and the derived CRLB are general and can be applied to any parametric field. The dependence of the mean-square error (MSE) on the number of quantization levels, the number of sensors in the network and the SNR of the observation and transmission channels are analyzed. The variance of the estimates is compared to the derived CRLB.
Sponsorship	IEEE Signal Processing Society
Starting Page	1041
Ending Page	1053
Page Count	13
File Size	3452545
File Format	PDF
ISSN	1053587X
Volume Number	62
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Estimation Signal processing algorithms Noise measurement Government Quantization (signal) Bandwidth Channel estimation wireless sensor network Cramer-Rao lower bound distributed parameter estimation EM algorithm maximum-likelihood estimation
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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