In this work, we concentrate primarily on the characterization of each harvester’s RF power and its effect in terms of the likelihood of accumulating enough energy to transmit a packet. The multiple Radio Frequency ( RF) Energy Harvesting Network (RF-EHN) nodes have the ability to transform electromagnetic RF signals obtained into energy that can be used to power the energy harvester (the network device). Traditionally, high-power transmitters (e.g., base stations) working in the harvesters’ neighbourhood provide RF signals. RF energy harvesting has recently attracted a lot of attention and many efforts are being made to develop new RF energy harvesting technologies as well as to evaluate the performance of the harvesting system networks. We begin by characterising the distribution of the RF power obtained by an energy harvester node by accepting that the transmitters are spatially distributed according to a spatial Poisson process. We demonstrate that the obtained RF power can be approximated by the sum of several Gamma distributions with different scale and shape parameters, considering Gamma shadowing and Rayleigh fading. Using the distribution of the obtained RF power, after a given period of charging time, we derive the probability of a node having enough energy to send a packet. Via simulation, the RF power distribution and the probability of a harvester having enough energy to transmit a packet are validated. With the proposed analysis, the numerical results obtained are similar to those obtained by simulation, which confirms the precision of the proposed analysis.

**Author(s) Details**

**Daniela Oliveira
**Instituto de Telecomunicações (IT), Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal.

**Rodolfo Oliveira
**Instituto de Telecomunicações (IT), Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal and Departamento de Engenharia Electrotécnica e de Computadores, Faculdade de Ciências e Tecnologia (FCT), Universidade Nova de Lisboa, 2829-516 Costa da Caparica, Portugal.

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