Optimal relay function in the low-power regime for distributed estimation over a MAC

Authors:
Marco Guerriero;Stefano Marano;Vincenzo Matta;Peter Willett
Affiliations:
Department of Electrical and Computer Engineering, University of Connecticut, Storrs, CT;Department of Information and Electrical Engineering, University of Salerno, Fisciano, SA, Italy;Department of Information and Electrical Engineering, University of Salerno, Fisciano, SA, Italy;Department of Electrical and Computer Engineering, University of Connecticut, Storrs, CT
Venue:
IEEE Transactions on Signal Processing
Year:
2010

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Abstract

A random parameter is estimated by a distributed network of sensors that communicate over a common multiple-access channel (MAC). A MAC implies an additive fusion rule, and the goal here is to design a power-constrained forwarding strategy and fusion center post-processing. To get an explicit solution we appeal to asymptotics, meaning that we design the locally optimal scheme for the limiting case that the received power goes to zero.