Optimum Power Allocations for Fading Decode-and-Forward Relay Channel

TL;DR

This paper derives optimal power allocation strategies for a fading decode-and-forward relay channel with full-duplex operation, considering individual power constraints and analyzing two scenarios for optimization.

Contribution

It provides the first analytical derivation of convex optimization solutions for power allocation in fading relay channels under different correlation conditions.

Findings

Optimal power allocations are derived for both scenarios.

The optimization problems are proven to be convex.

Simulation results illustrate the theoretical implications.

Abstract

In this paper, for a fading decode-and-forward full-duplex relay channel, we analytically derive optimum power allocations. Individual power constraints for the source and the relay are assumed and the related optimization problem is analyzed for two scenarios. First, optimization is taken over the source power, the relay power, and the correlation coefficient between the transmitted signals of the source and the relay. Then, for a fixed value of correlation coefficient, the optimization problem is analyzed. It is also proven that the optimization problems are convex for these two scenarios. Finally, implications of theoretical results are discussed through simulations for each scenario.