A 3-dimensional (3-D) hybrid visible light communication (VLC)-radio frequency (RF) indoor internet of things system with spatially random terminals with one photo diode (e.g., indoor sensors: temperature sensors, humidity sensors, and indoor air quality sensors)is considered. Specifically,homogeneous Poisson point process is adopted to model to the distribution of the terminals, which means that the number of the terminals obeys Poisson distribution, and the positions of the terminals are uniformly distributed. VLC and RF communications are employed over down link and up link, respectively. Meanwhile,the terminals are designed to harvest the energy from the light emitted by the light-emitting diode over the down link, which issued for the transmissions over the up link. The light energy harvesting model is considered after introducing the line of sight propagation model for VLC. Then, the outage performance has been studied for the VLC down link and non-orthogonal multiple access schemes over the RF up link, respectively, by using stochastic geometry theory, while considering the randomness of the number of the terminals, and all terminals are spatially and randomly distributed in the 3-D room and all RF up links followRician fading. Finally, the approximated analytical expressions for the outage probability are derived and verified through Monte Carlo simulations.
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