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Availability of Ambient RF Energy in d -Dimensional Wireless Networks

Author

Listed:
  • Hongxing Xia

    (State Key Laboratory of Integrated Service Network, Xidian University, Xi’an 710071, China
    Current address: School of Computer and Information Science, Hubei Engineering University, Xiaogan 432000, China.)

  • Yongzhao Li

    (State Key Laboratory of Integrated Service Network, Xidian University, Xi’an 710071, China)

  • Hailin Zhang

    (State Key Laboratory of Integrated Service Network, Xidian University, Xi’an 710071, China)

  • Balasubramaniam Natarajan

    (Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS 66506, USA)

Abstract

Radio frequency (RF) enabled energy harvesting has garnered increasingly broad applications in energy-constrained wireless networks. In this context, the actual available energy is constrained by the harvesting threshold of RF harvesters. In this paper, we first propose two new metrics, effective energy harvesting probability (EEHP) and spatial mean harvestable energy (SMHE) to characterize the availability of ambient RF energy. Assuming that the transmitters are spatially distributed according to a d -dimensional homogeneous Poisson point process (HPPP), we derive the distributions of the ambient RF energy for networks, from the perspective of information receivers, with and without interference control (IC). The corresponding EEHP and SMHE are given in integral forms for the case with IC and inverse Laplace transform form for the case without IC, respectively. For a special case where the dimension to path loss ratio equals 0.5, closed-form exact/approximate expressions for EEHP and SMHE are derived. Analytical results are validated by Monte Carlo simulations. Numerical results with distinct network parameters indicate that the harvesting threshold always has a significant effect on the EEHP, while the impact on SMHE can be ignored as the transmitter density increases. The general unified framework considered in this paper expands the applicability of the derived results to arbitrary dimensional networks.

Suggested Citation

  • Hongxing Xia & Yongzhao Li & Hailin Zhang & Balasubramaniam Natarajan, 2018. "Availability of Ambient RF Energy in d -Dimensional Wireless Networks," Energies, MDPI, vol. 11(3), pages 1-22, March.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:3:p:668-:d:136527
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    References listed on IDEAS

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    1. Joseph Abate & Ward Whitt, 2006. "A Unified Framework for Numerically Inverting Laplace Transforms," INFORMS Journal on Computing, INFORMS, vol. 18(4), pages 408-421, November.
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