In this paper, we consider a fog computing system consisting of amulti-antenna access point (AP), an ultra-low power (ULP) single antenna deviceand a fog server. The ULP device is assumed to be capable of both energyharvesting (EH) and information decoding (ID) using a time-switchingsimultaneous wireless information and power transfer (SWIPT) scheme. The ULPdevice deploys the harvested energy for ID and either local computing oroffloading the computations to the fog server depending on which strategy ismost energy efficient. In this scenario, we optimize the time slots devoted toEH, ID and local computation as well as the time slot and power required forthe offloading to minimize the energy cost of the ULP device. Numerical resultsare provided to study the effectiveness of the optimized fog computing systemand the relevant challenges.
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