Wireless Personal Communications

, Volume 99, Issue 4, pp 1605–1624 | Cite as

Optimal Time Switching-Based Policies for Efficient Transmit Power in Wireless Energy Harvesting Small Cell Cognitive Relaying Networks

  • Hoang-Sy Nguyen
  • Thanh-Sang Nguyen
  • Minh-Tung Nguyen
  • Miroslav VoznakEmail author


In this paper, we consider a half-duplex decode-and-forward small cell cognitive relay network, in which the source and the relay node are allocated with spectrum shared by the macro cell primary transmitter (MPT). In order to develop a practical design, we propose two time switching-based policies to optimize the maximum transmit power at source and relay so-called Optimal Time for Transmit Power at Source and Optimal Time for Transmit Power at Relay related to wireless energy harvesting for the considered network, thanks to the advantages of MPT. Additionally, we provide closed-form expressions for outage probability for the proposed policies. Furthermore, to achieve more genuine understandings of the successful data transmission of the small cells, we also consider the delay-constraint throughput, the rate-energy trade-off and the average energy efficiency by giving numerical and simulation results.


Cognitive relay network Decode-and-forward Energy harvesting Time-switching Outage probability Energy-efficiency Rate-energy 



This research was funded by the grant SGS Reg. No. SP2017/174 conducted at VSB-Technical University of Ostrava, Czech Republic.

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no competing interests.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Wireless Communications Research Group, Faculty of Electrical and Electronics EngineeringTon Duc Thang UniversityHo Chi Minh CityVietnam
  2. 2.Faculty of Electrical Engineering and Computer ScienceVSB-Technical University of OstravaOstravaCzech Republic
  3. 3.Binh Duong UniversityThu Dau Mot CityVietnam

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