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Performance analysis of a distributed power control algorithm for shared and split spectrum femtocell networks

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Abstract

In this paper, we study the performance of a distributed power adjustment algorithm for shared and split spectrum allocation setups. The theoretical analysis reveals that the convergence of the power control algorithm is guaranteed under different spectrum allocation schemes and the convergence rate is exponential. The performance analysis is also carried out via simulations which demonstrate the algorithm fairness under Jain’s and Atkinkons’ fairness indices.

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References

  1. P. Mugen, Y. Li, J. Jiang, et al. Heterogeneous cloud radio access networks: a new perspective for enhancing spectral and energy efficiencies. IEEE Wireless Communications, 2014, 21(6): 126–135.

    Article  Google Scholar 

  2. P. Mugen, Y. Li, Z. Zhao, et al. System architecture and key technologies for 5G heterogeneous cloud radio access networks. IEEE Network, 2015, 29(2): 6–14.

    Article  Google Scholar 

  3. V. Chandrasekhar, J. G. Andrews, A. Gatherer. Femtocell networks: a survey. IEEE Communications Magazine, 2008, 46(9): 59–67.

    Article  Google Scholar 

  4. R. Langar, S. Secci, R. Boutaba, et al. An operations research game approach for resource and power allocation in cooperative femtocell networks. IEEE Transactions on Mobile Computing, 2015, 14(4): 675–687.

    Article  Google Scholar 

  5. A. Hatoum, R. Langar, N. Aitsaadi, et al. Cluster-based resource management in OFDMA femtocell networks with QoS guarantees. IEEE Transactions on Vehicular Technology, 2014, 14(5): 2378–2391.

    Article  Google Scholar 

  6. J.-H. Yun, K. G. Shin. Adaptive interference management of OFDMA femtocells for co-channel deployment. IEEE Journal on Selected Areas in Communications, 2011, 29(6): 1225–1241.

    Article  Google Scholar 

  7. H. Zhang, C. Jiang, N. C. Beaulieu, et al. Resource allocation in spectrum-sharing OFDMA femtocells with heterogeneous services. IEEE Transactions on Communications, 2014, 62(7): 2366–2377.

    Article  Google Scholar 

  8. V. N. Ha, L. B. Le. Fair resource allocation for OFDMA femtocell networks with macrocell protection. IEEE Transactions on Vehicular Technology, 2014, 63(3): 1388–1401.

    Article  Google Scholar 

  9. V. Chandrasekhar, J. G. Andrews, T. Muharemovic, et al. Power control in two-tier femtocell networks. IEEE Transactions on Wireless Communications, 2009, 8(8): 4316–4328.

    Article  Google Scholar 

  10. K. Huang, J. G. Andrews, D. Guo, et al. Spatial interference cancellation for multiantenna mobile ad hoc networks. IEEE Transactions on Information Theory, 2012, 58(3): 1660–1676.

    Article  MathSciNet  Google Scholar 

  11. R. Vaze, R. W. Heath Jr. Transmission capacity of ad-hoc networks with multiple antennas using transmit stream adaptation and interference cancellation. IEEE Transactions on Information Theory, 2012, 58(2): 780–792.

    Article  MathSciNet  Google Scholar 

  12. R. Irmer, H. Droste, P. Marsch, et al. Coordinated multipoint: Concepts, performance, and field trial results. IEEE Communications Magazine, 2011, 49(2): 102–111.

    Article  Google Scholar 

  13. D. Lee, H. Seo, B. Clerckx, et al. Coordinated multipoint transmission and reception in LTE-advanced: deployment scenarios and operational challenges. IEEE Communications Magazine, 2012, 50(2): 148–155.

    Article  Google Scholar 

  14. X. Zhang, M. Haenggi. The performance of successive interference cancellation in random wireless networks. IEEE Transactions on Information Theory, 2014, 60(10): 6368–6388.

    Article  MathSciNet  Google Scholar 

  15. B. Kaufman, E. Erkip, J. Lilleberg, et al. Femtocells in cellular radio networks with successive interference cancellation. IEEE International Conference on Communications Workshops, Japan: IEEE, 2011: 1–5.

    Google Scholar 

  16. S. Shen, T. M. Lok. Dynamic power allocation for downlink interference management in a two-tier OFDMA network. IEEE Transactions on Vehicular Technology, 2013, 62(8): 4120–4125.

    Article  Google Scholar 

  17. G. Aristomenopoulos, T. Kastrinogiannis, S. Lamprinakou, et al. Optimal power control and coverage management in two-tier femtocell networks. EURASIP Journal on Wireless Communications and Networking, 2012, 2012(1): 1–13.

    Article  Google Scholar 

  18. V. N. Ha, L. B. Le. Distributed base station association and power control for heterogeneous cellular networks. IEEE Transactions on Vehicular Technology, 2014, 63(1): 282–296.

    Article  Google Scholar 

  19. K. Zhu, E. Hossain, A. Anpalagan. Downlink power control in two-tier cellular OFDMA networks under uncertainties: a robust Stackelberg game. IEEE Transactions on Communications, 2015, 63(2): 520–535.

    Article  Google Scholar 

  20. P. Semasinghe, E. Hossain, K. Zhu. An evolutionary game for distributed resource allocation in self-organizing small cells. IEEE Transactions on Mobile Computing, 2015, 14(2): 274–287.

    Article  Google Scholar 

  21. H.-S. Jo, C. Mun, J. Moon, et al. Self-optimized coverage coordination in femtocell networks. IEEE Transactions on Wireless Communications, 2010, 9(10): 2977–2982.

    Article  Google Scholar 

  22. K. Senel, M. Akar. A consensus based coverage algorithm for self organizing femtocell networks. IEEE Communication Letters, 2015, 20(1): 141–144.

    Article  Google Scholar 

  23. J. Zander, S.-L. Kim, M. Almgren, et al. Radio Resource Management for Wireless Networks. Boston: Artech House, 2001.

    Google Scholar 

  24. M. Omar. Sharing vs. splitting spectrum in OFDMA femtocell networks. Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, Vancouver, Canada: IEEE, 2013: 4824–4828

    Google Scholar 

  25. M. Fiedler. Laplacian of graphs and algebraic connectivity. Banach Center Publications, 1989, 25(1): 57–70.

    MathSciNet  MATH  Google Scholar 

  26. B. A. G. Marques. Guidelines for Evaluation of Radio Transmission Technologies for IMT-2000. ITU-R Recommendation M.1225. 1997.

    Google Scholar 

  27. R. Jain, D. Chiu, W. Hawe. A Quantitative Measure of Fairness and Discrimination for Resource Allocation in Shared Computer Systems. DEC research report. Maynard: Eastern Research Laboratory, Digital Equipment Corporation, 1984.

    Google Scholar 

  28. M. C. Erturk, I. Guvenc, S. Mukherjee, et al. Fair and QoS-oriented resource management in heterogeneous networks. EURASIP Journal on Wireless Communications and Networking, 2013: DOI 10.1186/1687-1499-2013-121.

    Google Scholar 

  29. A. B. Atkinson. On the measurement of inequality. Journal of Economic Theory, 1970, 2(3): 244–263.

    Article  MathSciNet  Google Scholar 

  30. T. Lan, C. Mung. Measuring fairness: axioms and applications. Proceedings of IEEE 49th Annual Allerton Conference on Communication, Control, and Computing, Monticello: IEEE, 2011: 156–163.

    Google Scholar 

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Authors and Affiliations

Authors

Corresponding author

Correspondence to Kamil Senel.

Additional information

This work was supported by TÜBİTAK Project 115E397.

Kamil SENEL received the B.Sc. and M.Sc. degrees in Electrical Engineering from Boğaziçi University, İstanbul, Turkey, in 2006 and 2009, respectively, and is currently a teaching assistant and Ph.D. student at Boğaziçi University. His research interests include nonlinear dynamics, control theory and wireless communication systems.

Mehmet AKAR received the B.Sc. and M.Sc. degrees in Electrical Engineering from Bilkent University, Ankara, Turkey, in 1994 and 1996, respectively, and the Ph.D. degree in Electrical Engineering from The Ohio State University, Columbus, OH, U.S.A., in 1999. He was with Yale University, New Haven, CT, U.S.A.; with the Communication Sciences Institute, University of Southern California, Los Angeles, CA, U.S.A.; and with the National University of Ireland, Maynooth, Ireland. He is currently a full professor at the Department of Electrical and Electronics Engineering, Boğaziçi University, Istanbul, Turkey. His research interests include hybrid systems and control theory, and their applications in automotive and communication networks.

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Senel, K., Akar, M. Performance analysis of a distributed power control algorithm for shared and split spectrum femtocell networks. Control Theory Technol. 14, 314–322 (2016). https://doi.org/10.1007/s11768-016-6093-7

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  • DOI: https://doi.org/10.1007/s11768-016-6093-7

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