Strict suboptimality of selection amplify-and-forward relaying under global channel information

Authors:
Reza Nikjah;Norman C. Beaulieu
Affiliations:
Department of Electrical and Computer Engineering, Electrical and Computer Engineering Research Facility, University of Alberta, Edmonton, Alberta, Canada;Department of Electrical and Computer Engineering, Electrical and Computer Engineering Research Facility, University of Alberta, Edmonton, Alberta, Canada
Venue:
IEEE Transactions on Communications
Year:
2009

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Abstract

Selection amplify-and-forward (SAF) relaying, which has been shown to be optimal under the constraints of localized channel information at the relays and a constant relay power allocation (PA) template, is shown to be globally strictly suboptimal. A necessary condition for the outage optimality of the SAF PA, and an exponentially vanishing upper bound on the probability of the SAF optimality are derived.