Max–Min Fairness Optimal Rate-Energy Trade-Off of SWIPT for Massive MIMO Downlink

Max–min fairness optimal rate-energy trade-off of simultaneous wireless information and power transfer is derived with imperfectly estimated channels at the massive multiple-input multiple-output base-station and statistical channel knowledge at the users. The optimal transmit power control coefficients, common harvested energy, and common achievable user rates are derived for time-switching and power-splitting protocols.