Movatterモバイル変換

[0]ホーム
URL:

Skip to main content
Springer Nature Link
Log in

Alternate energy harvesting and information relaying in cooperative AF networks

  • Published:
Telecommunication Systems Aims and scope Submit manuscript

Abstract

This paper studies an energy harvesting (EH) based cooperative relaying system, where two half-duplex relays operate with EH and alternately amplify and forward source data to the destination. When one relay joins in the cooperative data transmission, the other relay will harvest wireless energy by overhearing the transmissions from both the source and the transmitting relay. Both the time-switching and power-splitting architectures are considered for the EH and data reception at relays. Since the EH can be implicitly performed by each relay through listening the ongoing transmissions, more energy can be harvested for the cooperative data transmission. The outage probability and throughput of the proposed scheme are derived. Simulation results are provided to verify the correctness of our theoretical analysis and show that our scheme can significantly outperform the single-relay system in terms of throughput.

This is a preview of subscription content,log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Arain, Q. A., Uqaili, M. A., Deng, Z., Memon, I., Jiao, J., Shaikh, M. A., et al. (2017). Clustering based energy efficient and communication protocol for multiple mix-zones over road networks.Wireless Personal Communications,95, 411–428.

    Article  Google Scholar 

  2. Akhtar, R., Leng, S., Memon, I., Ali, M., & Zhang, L. (2015). Architecture of hybrid mobile social networks for efficient content delivery.Wireless Personal Communications,80(1), 85–96.

    Article  Google Scholar 

  3. Memon, I., & Arain, Q. A. (2017). Dynamic path privacy protection framework for continuous query service over road networks.World Wide Web,20(4), 639–672.

    Article  Google Scholar 

  4. Kong, L., Zhang, D., He, Z., Xiang, Q., Wan, J., & Tao, M. (2016). Embracing big data with compressive sensing: A green approach in industrial wireless networks.IEEE Communications Magazine,54(10), 53–59.

    Article  Google Scholar 

  5. Varshney, L. R. (2008). Transporting information and energy simultaneously. InProceedings of IEEE International Symposium on Information Theory (ISIT) (pp. 1612–1616), July, 2008, Toronto, Canada.

  6. Mohjazi, L., Dianati, M., Karagiannidis, G. K., Muhaidat, S., & Al- Qutayri, M. (2015). RF-powered cognitive radio networks: Technical challenges and limitations.IEEE Communications Magazine,53(4), 94–100.

    Article  Google Scholar 

  7. Kong, L., Khan, M. K., Wu, F., Chen, G., & Zeng, P. (2017). Millimeter-wave wireless communications for iot-cloud supported autonomous vehicles: Overview, design, and challenges.IEEE Communications Magazine,55(1), 62–68.

    Article  Google Scholar 

  8. Kong, L., Ye, L., Wu, F., Tao, M., Chen, G., & Vasilakos, A. V. (2017). Autonomous relay for millimeter-wave wireless communications.IEEE Journal on Selected Areas in Communications,35(9), 2127–2136.

    Article  Google Scholar 

  9. Khan, T. A., Alkhateeb, A., & Heath, R. W. (2016). Millimeter wave energy harvesting.IEEE Transactions on Wireless Communications,15(9), 6048–6062.

    Article  Google Scholar 

  10. Nasir, A. A., Zhou, X., Durrani, S., & Kennedy, R. A. (2013). Relaying protocols for wireless energy harvesting and information processing.IEEE Transactions on Wireless Communications,12(7), 3622–3636.

    Article  Google Scholar 

  11. Zhai, C., Liu, J., Lan, P., & Sun, F. (2017). Strive for the spectrum sharing by transferring energy and relaying data for the primary user.Transactions on Emerging Telecommunications Technologies,28(3), 1–18.

    Article  Google Scholar 

  12. Chen, H., Li, Y., Rebelatto, J. L., Uchoa-Filho, B. F., & Vucetic, B. (2015). Harvest-then-cooperate: Wireless-powered cooperative communications.IEEE Transactions on Signal Processing,63(7), 1700–1711.

    Article  Google Scholar 

  13. Chen, Y., Shi, R., Feng, W., & Ge, N. (2017). AF relaying with energy harvesting source and relay.IEEE Transactions on Vehicular Technology,66(1), 874–879.

    Google Scholar 

  14. Krikidis, I. (2014). Simultaneous information and energy transfer in large-scale networks with/without relaying.IEEE Transactions on Communications,62(3), 900–912.

    Article  Google Scholar 

  15. Zhai, C., & Liu, J. (2015). Cooperative wireless energy harvesting and information transfer in stochastic networks.EURASIP Journal on Wireless Communnications and Networking,2015(44), 1–22.

    Google Scholar 

  16. Zhou, X., Zhang, R., & Ho, C. K. (2013). Wireless information and power transfer: Architecture design and rate-energy tradeoff.IEEE Transactions on Communications,61(11), 4754–4767.

    Article  Google Scholar 

  17. Nasir, A. A., Zhou, X., Durrani, S., & Kennedy, R. A. (2015). Wireless-powered relays in cooperative communications: Time switching relaying protocols and throughput analysis.IEEE Transactions on Communications,63(5), 1607–1622.

    Article  Google Scholar 

  18. Ju, H., & Zhang, R. (2014). Optimal resource allocation in full-duplex wireless powered communication network.IEEE Transactions on Communications,62(10), 3528–3540.

    Article  Google Scholar 

  19. Zeng, Y., & Zhang, R. (2015). Full-duplex wireless-powered relay with self-energy recycling.IEEE Wireless Communications Letters,4(2), 201–204.

    Article  Google Scholar 

  20. Laneman, J. N., Tse, D. N. C., & Wornell, G. W. (2004). Cooperative diversity in wireless networks: Efficient protocols and outage behavior.IEEE Transactions on Information Theory,50(12), 3062–3080.

    Article  Google Scholar 

  21. Rankov, B., & Wittneben, A. (2007). Spectral efficient protocols for half-duplex fading relay channels.IEEE Journal on Selected Areas in Communications,25(2), 379–389.

    Article  Google Scholar 

  22. Tutuncuoglu, K., Varan, B., & Yener, A. (2013). Optimum transmission policies for energy harvesting two-way relay channels. InProceedings of IEEE International Conference on Communications (ICC) (pp. 586–590), June 2013, Budapest, Hungary.

  23. Xu, W., Yang, Z., Ding, Z., Wang, L., & Fan, P. (2015). Wireless information and power transfer in two-way relaying network with non-coherent differential modulation.EURASIP Journal on Wireless Communications and Networking,2015(131), 1–10.

    Google Scholar 

  24. Men, J., Ge, H., Zhang, C., & Li, J. (2015). Joint optimal power allocation and relay selection scheme in energy harvesting asymmetric two-way relaying system.IET Communications,9(11), 1421–1426.

    Article  Google Scholar 

  25. Fan, Y., Wang, C., Thompson, J., & Poor, H. V. (2007). Recovering multiplexing loss through successive relaying using repetition coding.IEEE Transactions on Wireless Communications,6(12), 4484–4493.

    Article  Google Scholar 

  26. Zhai, C., Zhang, W., & Ching, P. C. (2013). Cooperative spectrum sharing based on two-path successive relaying.IEEE Transactions on Communications,61(6), 2260–2270.

    Article  Google Scholar 

  27. Zhai, C., & Zhang, W. (2013). Adaptive spectrum leasing with secondary user scheduling in cognitive radio networks.IEEE Transactions on Wireless Communications,12(7), 3388–3398.

    Article  Google Scholar 

  28. Shi, L., Zhang, W., & Ching, P. C. (2011). Single-symbol decodable distributed STBC for two-path successive relaying networks. InProceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (pp. 3324–3327), May 2011, Prague, Czech.

  29. Zhai, C., Zheng, L., Lan, P., Chen, H., & Xu, H. (2017). Decode-and-forward two-path successive relaying with wireless energy harvesting. InProceedings of IEEE International Conference on Communications (ICC) (pp. 35-40), May 2017, Paris, France.

  30. Gradshteyn, I. S., & Ryzhik, I. M. (1980).Table of integrals, series, and products (4th ed.). Cambridge: Academic Press, Inc.

    Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (61371188), the Special Funds for Postdoctoral Innovative Projects of Shandong Province (201401013), and the Fundamental Research Funds of Shandong University.

Author information

Authors and Affiliations

  1. School of Information Science and Engineering, Shandong University, Jinan, 250100, China

    Lina Zheng, Chao Zhai & Ju Liu

Authors
  1. Lina Zheng

    You can also search for this author inPubMed Google Scholar

  2. Chao Zhai

    You can also search for this author inPubMed Google Scholar

  3. Ju Liu

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence toLina Zheng.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Appendix: Derivation of \(p_{out}^{t1}\)

Appendix: Derivation of\(p_{out}^{t1}\)

Substituting (6) into (26),\(p_{out}^{t1}\) can be expressed as

$$\begin{aligned} p_{out}^{t1}&=\Pr \left\{ \frac{p_{s}p_{t1}|h_{s1}|^2 |h_{1d}|^2/N_0}{p_{t1}|h_{1d}|^2d_{s1}^m+d_{1d}^m(p_{s}|h_{s1}|^2+d_{s1}^mN_0)}<\gamma _0\right\} . \end{aligned}$$
(31)

The above expression can be further expressed as the sum of two probabilities, i.e.,\(p_{out}^{t1}=\hat{p}_{out}^{t1}+\tilde{p}_{out}^{t1}\). The probability\(\hat{p}_{out}^{t1}\) is given as

$$\begin{aligned} \hat{p}_{out}^{t1}&=\Pr \left\{ |h_{s1}|^2\le \frac{d_{s1}^mN_0\gamma _0}{p_s}\right\} . \end{aligned}$$
(32)

The probability\(\tilde{p}_{out}^{t1}\) is given as

$$\begin{aligned} \tilde{p}_{out}^{t1}&=\Pr \left\{ |h_{s1}|^2>\frac{d_{s1}^mN_0\gamma _0}{p_s}, |h_{1d}|^2<\right. \nonumber \\&\quad \quad \quad \left. d_{1d}^mN_0\gamma _0\left( \frac{p_s|h_{s1}|^2+d_{s1}^m N_0}{p_sp_{t1}|h_{s1}|^2-p_{t1}d_{s1}^m N_0 \gamma _0}\right) \right\} . \end{aligned}$$
(33)

Following (32),\(\hat{p}_{out}\) can be derived as

$$\begin{aligned} \hat{p}_{out}^{t1}&=1-\exp \left( -\frac{d_{s1}^mN_0\gamma _0}{p_s}\right) , \end{aligned}$$
(34)

where we consider in the derivation that the small-scale power fading\(|h_{s1}|^2\) is exponentially distributed with unit mean.

Following (33),\(\tilde{p}_{out}^{t1}\) can be derived as

$$\begin{aligned} \tilde{p}_{out}^{t1}&=\int _{\frac{N_0\gamma _0d_{s1}^m}{p_s}}^\infty \exp (-z) \Pr \bigg \{|h_{1d}|^2\nonumber \\&< N_0\gamma _0d_{1d}^m\left( \frac{p_sz+d_{s1}^m N_0}{p_sp_{t1}z-p_{t1}d_{s1}^m N_0 \gamma _0}\right) \bigg \}\, \mathrm{d}z \nonumber \\&=\exp \left( -\frac{d_{s1}^mN_0\gamma _0}{p_s}\right) \left[ 1-2N_0\exp \left( -\frac{d_{1d}^mN_0\gamma _0}{p_{t1}}\right) \right. \nonumber \\&\times \left. \sqrt{\frac{d_{s1}^md_{1d}^m\gamma _0(1+\gamma _0)}{p_sp_{t1}}} K_1\left( 2N_0\sqrt{\frac{d_{s1}^md_{1d}^m\gamma _0(1+\gamma _0)}{p_sp_{t1}}}\right) \right] \end{aligned}$$
(35)

where\(z=|h_{s1}|^2\) and\(K_1(\cdot )\) is the first-order modified Bessel function of the second kind, and the last equality is obtained according to\(\int _0^\infty e^{-\frac{\beta }{4x}-\gamma x} \, dx =\sqrt{\frac{\beta }{\gamma }}K_1(\sqrt{\beta \gamma })\) [30, (3.324)].

Substituting (34) and (35) into\(p_{out}^{t1}=\hat{p}_{out}^{t1}+\tilde{p}_{out}^{t1}\), we can derive the result of\(p_{out}^{t1}\) as given in (27).

Rights and permissions

About this article

Access this article

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

Advertisement

[8]ページ先頭
©2009-2025 Movatter.jp