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Trade-Off Energy and Spectral Efficiency in a Downlink Massive MIMO System

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Abstract

Massive multiple-input multiple-output (MIMO) technology has been proven to be a viable strategy for balancing the trade-off between energy efficiency (EE) and spectral efficiency (SE), which is key to the design of fifth-generation wireless cellular networks. In this work, we investigate the trade-off between EE and SE for downlink massive MIMO in wireless communication networks with respect to the power allocation problem. We maximize EE by deriving the signal-to-interference noise ratio for higher SE in the upper bound and propose that the EE–SE trade-off can be maximized when formulated as a Pareto-optimal solution based on the optimization problem. A Lagrange dual decomposition method is also developed for both transmit power allocation and the number of available antennas. From the simulation results, the maximum trade-off between EE and SE can be achieved based on the optimal transmit power allocation in every cell and when the number of base stations for the value of SE is high.

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References

  1. Zi, R., Ge, X., Thompson, J., Wang, C. X., Wang, H., & Han, T. (2016). Energy efficiency optimization of 5G radio frequency chain systems. IEEE Journal on Selected Areas in Communications, 34(4), 758–771.

    Article  Google Scholar 

  2. Ngo, H. Q., Larsson, E. G., & Marzetta, T. L. (2013). Energy and spectral efficiency of very large multiuser MIMO systems. IEEE Transactions on Communications, 61, 1436–1449.

    Article  Google Scholar 

  3. Liang, N., Zhang, W. (2015). A mixed-ADC receiver architecture for massive MIMO systems. In IEEE information theory workshop (ITW), June 2015 (pp. 229–233).

  4. Zhang, T. C., Wen, C. K., Jin, S., & Jiang, T. (2016). Mixed-ADC massive MIMO detectors: Performance analysis and design optimization. IEEE Transactions on Wireless Communications, 15(11), 7738–7752.

    Article  Google Scholar 

  5. Liu, Z., Du, W., & Sun, D. (2017). Energy and spectral efficiency tradeoff for massive MIMO systems with transmit antenna selection. IEEE Transactions on Vehicular Technology, 66(5), 4453–4457.

    Google Scholar 

  6. Marzetta, T. L. (2010). Noncooperative cellular wireless with unlimited numbers of base station antennas. IEEE Transactions on Wireless Communications, 9(11), 3590–3600.

    Article  Google Scholar 

  7. Héliot, F., Imran, M. A., & Tafazolli, R. (2012). On the energy efficiency-spectral efficiency trade-off over the MIMO Rayleigh fading channel. IEEE Transactions on Communications, 60(5), 1345–1356.

    Article  Google Scholar 

  8. Aydin, O., Jorswieck, E. A., Aziz, D., & Zappone, A. (2017). Energy-spectral efficiency tradeoffs in 5G multi-operator networks with heterogeneous constraints. IEEE Transactions on Wireless Communications, 16(9), 5869–5881.

    Article  Google Scholar 

  9. Hao, Y., Ni, Q., Li, H., & Hou, S. (2017). On the energy and spectral efficiency tradeoff in massive MIMO-enabled het nets with capacity-constrained backhaul links. IEEE Transactions on Communications, 65(11), 4720–4733.

    Article  Google Scholar 

  10. Hao, Y., Song, Z., Hou, S., Li, H. (2015). Energy-and spectral-efficiency tradeoff in massive MIMO systems with inter-user interference. In IEEE in personal, indoor, and mobile radio communications (PIMRC), 2015 August 30, Hong Kong, China (pp. 553–557).

  11. Chen, J., Chen, H., Zhang, H., & Zhao, F. (2016). Spectral-energy efficiency tradeoff in relay-aided massive MIMO cellular networks with pilot contamination. IEEE Access., 4, 5234–5242.

    Article  Google Scholar 

  12. Chen, Y., Zhang, S., Xu, S., & Li, G. Y. (2011). Fundamental trade-offs on green wireless networks. IEEE Communications Magazine, 49(6), 30–37.

    Article  Google Scholar 

  13. Deng, L., Rui, Y., Cheng, P., Zhang, J., Zhang, Q.-T., & Li, M.-Q. (2013). A unified energy efficiency and spectral efficiency tradeoff metric in wireless networks. IEEE Communications Letters, 17(1), 55–58.

    Article  Google Scholar 

  14. Miettinen, K. (2001). Nonlinear multi objective optimization. In International conference on evolutionary multi-criterion optimization, 2001 March 7 (pp. 1–20). Berlin: Springer.

  15. Marler, R. T., & Arora, J. S. (2004). Survey of multi-objective optimization methods for engineering. Structural and Multidisciplinary Optimization, 26(6), 369–395.

    Article  MathSciNet  MATH  Google Scholar 

  16. Amin, O., Bedeer, E., Ahmed, M. H., & Dobre, O. A. (2016). Energy efficiency spectral efficiency tradeoff: A multi-objective optimization approach. IEEE Transactions on Vehicular Technology, 65(4), 1975–1981.

    Article  Google Scholar 

  17. Palomar, D., & Chiang, M. (2006). A tutorial on decomposition methods for network utility maximization. IEEE Journal on Selected Areas in Communications, 24(8), 1439–1451.

    Article  Google Scholar 

  18. Wen, D., Yu, G., Li, R., Chen, Y., & Li, G. Y. (2017). Results on energy- and spectral-efficiency tradeoff in cellular networks with full-duplex enabled base stations. IEEE Transactions on Wireless Communications, 16(3), 1494–14507.

    Article  Google Scholar 

  19. Boyd, S., & Vandenberghe, L. (2004). Convex optimization. Cambridge: Cambridge University Press.

    Book  MATH  Google Scholar 

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Acknowledgements

The authors would like to thank the Ministry of Higher Education, Malaysia, under the Fundamental Research Grant Scheme (FRGS) (V.1627) and the Universiti Tun Hussein Onn Malaysia under Contract Grant (U550) for the generous financial support.

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Authors and Affiliations

  1. Wireless and Radio Science Centre (WARAS), Faculty of Electrical and Electronic Engineering, Universiti Tun Hussein Onn Malaysia, 86400, Parit Raja, Batu Pahat, Johor, Malaysia

    A. Salh, L. Audah, N. S. M. Shah & S. A. Hamzah

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  1. A. Salh
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  2. L. Audah
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  3. N. S. M. Shah
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  4. S. A. Hamzah
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Correspondence to L. Audah.

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Salh, A., Audah, L., Shah, N.S.M. et al. Trade-Off Energy and Spectral Efficiency in a Downlink Massive MIMO System. Wireless Pers Commun 106, 897–910 (2019). https://doi.org/10.1007/s11277-019-06194-4

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