We consider a system with three single-antenna nodes; Alice talks to Bob over a time-slotted AWGN channel, while Eve's objective is to impersonate Alice. We then consider a setting where, for every received packet, Bob needs to do simultaneous energy harvesting (EH) and sender-node authentication. To this end, Bob employs frequency offset as the decision metric for binary hypothesis testing based authentication framework. Then, assuming separate receive chains for energy harvesting and information decoding, Bob implements two deterministic energy harvesting schemes: i) time-switching (TS) based, ii) static power-splitting (SPS) based. For both EH schemes, we analyze the trade-off between detection performance of the authentication scheme and amount of energy harvested. Numerical results suggest that for the same detection performance, SPS scheme outperforms TS scheme in terms of amount of energy harvested. We also consider a random energy harvesting scheme, the so-called opportunistic EH scheme, whereby Bob utilizes Eve's packets (as labeled by authentication scheme) to harvest energy. There, it is straightforward to see that the normalized mean throughput of EH receive chain increases linearly with an increase in Eve's attack rate.
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