Exact Statistical Characterization of RF-Energy Harvesting over Nakagami-m Fading Channel

This article gives exact statistical characterization of harvested RF-energy over a Nakagami-m fading channel. In [1], we have shown that the amount of harvested energy is a scaled version of the amount of received energy, which can be statistically modeled using the Sampling Theorem. However, harvesting only happens when the received Signal to Noise Ratio (SNR) exceeds a certain threshold. This article capitalizes on these two results to derive exact closed form expressions of the Cumulative Distribution and Moment Generating Functions (CDF) and (MGF) of the harvested energy over a Nakagami-m fading channel. We also extend the analysis to the case of harvesting over a sequence of N fading blocks. The derived results give researchers a powerful tool to design realistic RF-energy harvesting protocols.