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In this paper, we consider a class of wireless powered communication devicesusing hybrid automatic repeat request (HARQ) protocol to ensure reliablecommunications. In particular, we analyze the trade-off between accumulatingmutual information and harvesting RF energy at the receiver of a point-to-pointlink over a time-varying independent and identically distributed (i.i.d.)channel. The transmitter is assumed to have a constant energy source while thereceiver relies, solely, on the RF energy harvested from the received signal.At each time slot, the incoming RF signal is split between informationaccumulation and energy accumulation with the objective of minimizing theexpected number of re-transmissions. A major finding of this work is that theoptimal policy minimizing the expected number of re-transmissions utilizes theincoming RF signal to either exclusively harvest energy or to accumulate mutualinformation. This finding enables achieving an optimal solution in feasibletime by converting a two dimensional uncountable state Markov decision process(MDP) with continuous action space into a countable state MDP with binarydecision space.

Wireless energy and information transfer in networks with hybrid ARQ