Cooperative Communications with Wireless Energy Harvesting over Nakagami-m Fading Channels

Cooperative Communications with Wireless Energy Harvesting over Nakagami-m Fading Channels


In this paper, a dual-hop decode-to-forward cooperative system is considered where multiple relays with finite energy storage and can harvest energy from the destination. In our analysis, the relays are spatially randomly located with invoking stochastic geometry. In an effort to improve spectral efficiency, an optimal source-relay link (OSRL) scheme is employed. Assuming Nakagami-m fading, two different scenarios are considered: 1) the single-antenna source with perfect channel state information (CSI); and 2) the multiple-antenna source with transmit antenna selection and imperfect CSI. In both scenarios, the destination node is equipped with a single transmit antenna to forward power via frequency radio signal to the relay candidates. For improving the system performance, multiple antennas at the destination are considered to process the multiple copies of the received signal from the best relay. For characterizing the performance of the proposed scenarios, exact closed-form analytical expressions for the outage probability are derived. To obtain further insights, we carry out diversity gain analysis by adopting asymptotic relative diversity. We also derive the exact closed-form analytical expression for the system throughput. Finally, simulation results are presented to corroborate the proposed analysis and to show that: i) The system performance is improved by enlarging the area of the circle and the density of the relays. ii) The energy storage size has impacts on the performance of considered networks, which determines the maximal transmit power at relays.


  1. Ding. Et. All, the OP of a cooperative network with multiple source destination pairs and one EH relay was characterized by taking the spatial randomness of user locations into consideration. Assuming spatial randomness of relays in SWIPT systems, the work in “Wireless information and power transfer in cooperative networks with spatially random relays” analyzed the system outage performance, in which different relay selection techniques were analyzed.


Most of the existing literature laid a solid foundation for the role of cooperative SWIPT in Rayleigh fading, and the impact of cooperative SWIPT in Nakagami-m fading has not been well understood


In this paper we analyze the outage performance of a cooperative system with spatially random wireless powered DF relays and finite energy storage over Nakagami-m fading channels, where the destination is equipped with multiple antennas and adopt maximal ratio combining (MRC) scheme to process multiple received signals.

The OSRL Process Assuming Perfect CSI: We consider a scenario where all relays are equipped with multiple antennas and adopt MRC scheme, while the source is a single-antenna device.

Compared to existing which a single antenna was considered at the relay nodes, it is of great significance of identifying the effect of multiple antennas and MRC scheme, which can improve the system performance in presence of EH.

Transmit Antenna Selection with Imperfect CSI: We consider a source equipped with multiple antennas and employing TAS scheme, while the spatially random relays are single-antenna-devices. For the TAS process, imperfect CSI is assumed.


Nakagami-m fading channel can reduce to multiple types of channel with the different parameter settings




  • System : Pentium Dual Core.
  • Hard Disk : 120 GB.
  • Monitor : 15’’ LED
  • Input Devices : Keyboard, Mouse
  • Ram : 1 GB


  • Operating system : Windows 7.
  • Coding Language : MATLAB
  • Tool : MATLAB R2013A


Jia Ye, Hongjiang Lei, Member, IEEE, Yuanwei Liu, Member, IEEE, Gaofeng Pan, Member, IEEE, Daniel Benevides da Costa, Senior Member, IEEE, Qiang Ni, Senior Member, IEEE, and Zhiguo Ding, Senior Member, IEEE, “Cooperative Communications with Wireless Energy Harvesting over Nakagami-m Fading Channels”, IEEE Transactions on Communications, 2017.

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