A Decentralized Power Allocation Scheme for Amplify-And-Forward Multi-Hop Relaying Systems

A decentralized power allocation scheme for amplify-and-forward (AF) multi-hop relaying systems is proposed. The scheme maximizes a harmonic mean-based approximate expression for the instantaneous received signal-to-noise ratio (SNR). The outage probability in Rayleigh fading of the proposed power-optimized system is evaluated. Numerical results show the superior performance of AF multi-hop relaying systems employing the proposed power allocation scheme over those with uniform power allocation. The asymptotic outage behavior for sufficiently large values of SNR is also studied and it is demonstrated that AF multi-hop relaying systems employing the proposed power allocation scheme achieve diversity order 2.