Distributed adaptive power allocation for wireless relay networks

Abstract — In this paper, we consider a 2-hop wireless diversity relay network. We explore transmit power allocation among the source and relays to maximize the received signal to noise ratio (SNR) at the destination. We consider two relay protocols, ”amplify and forward ” (AAF) and ”decode and forward ” (DAF) and design the respective power allocations for both uncoded and coded systems. For a 2-hop relay system with one relay node, we derive a closed-form power allocation solution and, based on it, we propose a relay activation condition. If and only if the fading channel coefficients satisfy this condition, the relay transmits the signals to the destination; otherwise, the relay will stay in the idle state. For a system with more than one relay node, general closed-form power allocation solutions based on an extact SNR expression are difficult to derive; we hence, calculate a SNR upper bound and derive a sub-optimum power allocation solution based on this bound. The simulation results show that for a 2-hop diversity relay channel with one relay node the proposed adaptive power allocation (APA) scheme yields about 1−2dB SNR gains compared to the equal power allocation. This SNR gain increases monotonically as the number of relays increases. Index Terms — Adaptive power distribution, amplify and for-ward, coded and uncoded system, decode and forward, diversity relay channel, multi-hop relay, power allocation, wireless net-works. I