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Potential Game Approach to Downlink Multi-Cell OFDMA Networks

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Abstract

This chapter investigates the subcarrier allocation problem for a downlink multi-cell multiuser OFDMA network using potential game theory. Each player is considered to be a central base station together with all the mobiles distributed within its coverage area. In such a system, co-channel interferences (CCI), if left uncontrolled, could hinder the transmissions and limit the throughputs of the users, especially those near the cell-edge area. Certain remedies, including power control with pricing, did not seem to solve the problem completely. We specifically address this issue from an interference-minimizing approach, where the utility function adopted is meant to minimize the total CCI among players. Under such a formulation, we show that the formulated game can be mathematically described by a potential game. Hence, a Nash equilibrium will be guaranteed for the proposed game and stable solutions can be achieved via myopic gameplays such as the best/better responses. We propose our iterative algorithm for obtaining the Nash equilibria and address several performance issues such as fairness for edge-users and the price of anarchy. Numerical results show the improvement in efficiency and fairness using this approach.

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References

  1. Ahmadi H, Chew YH, Chai CC (2011) Multicell multiuser OFDMA dynamic resource allocation using ant colony optimization. In: Proceedings of IEEE VTC-Spring, pp 1–5

    Google Scholar 

  2. Bernardo F, Agustí R, Pérez-Romero J, Sallent O (2011) Intercell interference management in OFDMA networks: a decentralized approach based on reinforcement learning. IEEE Trans Syst Man Cybern C Appl Rev 41(6):968–976

    Article  Google Scholar 

  3. Chang RY, Tao Z, Zhang J, Kuo CCJ (2009) Multicell OFDMA downlink resource allocation using a graphical framework. IEEE Trans Veh Technol 58(7):3494–3507

    Article  Google Scholar 

  4. Chee TK, Lim C, Choi J (2006) A cooperative game theoretic framework for resource allocation in OFDMA systems. In: Proceedings of IEEE Singapore international conference on communication systems, pp 1–5

    Google Scholar 

  5. Goldsmith AJ, Chua SG (1997) Variable-rate variable-power MQAM for fading channels. IEEE Trans Commun 45(10):1218–1230

    Article  Google Scholar 

  6. Han Z, Ji Z, Liu KJR (2005) Fair multiuser channel allocation for OFDMA networks using nash bargaining solutions and coalitions. IEEE Trans Commun 53(8):1366–1376

    Article  Google Scholar 

  7. Han Z, Ji Z, Liu KJR (2007) Non-cooperative resource competition game by virtual referee in multi-cell OFDMA networks. IEEE J Sel Areas Commun 25(6):1079–1090

    Article  Google Scholar 

  8. Ibing A, Boche H (2007) Fairness vs. efficiency: comparison of game theoretic criteria for OFDMA scheduling. In: Proceedings of conference record of the forty-first Asilomar conference on signals, systems and computers, pp 275–279

    Google Scholar 

  9. Kivanc D, Li G, Liu H (2003) Computationally efficient bandwidth allocation and power control for OFDMA. IEEE Trans Wirel Commun 2(6):1150–1158

    Article  Google Scholar 

  10. Ksairi N, Bianchi P, Ciblat P, Hachem W (2010) Resource allocation for downlink cellular OFDMA systems - part i: optimal allocation. IEEE Trans Signal Process 58(2):720–734

    Article  MathSciNet  Google Scholar 

  11. Kuhn HW (1955) The Hungarian method for the assignment problem. Nav Res Log Q 2:83–97

    Article  MathSciNet  MATH  Google Scholar 

  12. Kwon H, Lee BG (2006) Distributed resource allocation through noncooperative game approach in multicell OFDMA systems. In: Proceedings of IEEE ICC, pp 4345–4350

    Google Scholar 

  13. La QD, Chew YH, Soong BH (2009) An interference minimization game theoretic subcarrier allocation algorithm for OFDMA-based distributed systems. In: Proceedings of IEEE Globecom, pp 1–6

    Google Scholar 

  14. La QD, Chew YH, Soong BH, Chin WH (2010) Game theory and OFDMA resource allocation. In: Jiang T, Song L, Zhang Y (eds) Orthogonal frequency division multiple access: fundamentals and applications, chap 4. Auerbach, Boca Raton, pp 67–100

    Chapter  Google Scholar 

  15. La QD, Chew YH, Soong BH (2011) An interference-minimization potential game for OFDMA-based distributed spectrum sharing systems. IEEE Trans Veh Technol 60(7):3374–3385

    Article  Google Scholar 

  16. La QD, Chew YH, Soong BH (2012) Performance analysis of downlink multi-cell OFDMA systems based on potential game. IEEE Trans Wirel Commun 11(9):3358–3367

    Article  Google Scholar 

  17. La QD, Chew YH, Soong BH (2012) Subcarrier assignment in multi-cell OFDMA systems via interference minimization game. In: Proceedings of IEEE WCNC, pp 1321–1325

    Google Scholar 

  18. Li G, Liu H (2006) Downlink radio resource allocation for multi-cell OFDMA system. IEEE Trans Wirel Commun 5(12):3451–3459

    Article  Google Scholar 

  19. Liang Z, Chew YH, Ko CC (2009) On the modeling of a non-cooperative multicell OFDMA resource allocation game with integer bit-loading. In: Proceedings of IEEE Globecom, pp 1–6

    Google Scholar 

  20. Moretti M, Todini A (2007) A resource allocator for the uplink of multi-cell OFDMA systems. IEEE Trans Wirel Commun 6(8):2807–2812

    Article  Google Scholar 

  21. Moretti M, Todini A, Baiocchi A, Dainelli G (2011) A layered architecture for fair resource allocation in multicellular multicarrier systems. IEEE Trans Veh Technol 60(4):1788–1798

    Article  Google Scholar 

  22. Pietrzyk S (2006) OFDMA For broadband wireless access. Artech House, Boston/London

    Google Scholar 

  23. Pischella M, Belfiore JC (2008) Distributed resource allocation for rate-constrained users in multi-cell OFDMA networks. IEEE Commun Lett 12(4):250–252

    Article  Google Scholar 

  24. Rhee W, Cioffi JM (2000) Increase in capacity of multiuser OFDM system using dynamic subchannel allocation. In: Proceedings of IEEE VTC, pp 1085–1089

    Google Scholar 

  25. Sadr S, Anpalagan A, Raahemifar K (2009) Radio resource allocation algorithms for the downlink of multiuser OFDM communication systems. IEEE Commun Surv Tutorials 11(3):92–106

    Article  Google Scholar 

  26. Wang L, Xue Y, Schulz E (2006) Resource allocation in multicell OFDM systems based on noncooperative game. In: Proceedings of IEEE PIMRC, pp 1–5

    Google Scholar 

  27. Wong CY, Cheng RS, Letaief KB, Munch RD (1999) Multiuser OFDM with adaptive subcarrier, bit and power allocation. IEEE J Sel Areas Commun 17(10):1747–1758

    Article  Google Scholar 

  28. Yang K, Prasad N, Wang X (2009) An auction approach to resource allocation in uplink OFDMA systems. IEEE Trans Signal Process 57(11):4482–4496

    Article  MathSciNet  Google Scholar 

  29. Yin H, Liu H (2000) An efficient multiuser loading algorithm for OFDM-based broadband wireless systems. In: Proceedings of IEEE Globecom, pp 103–107

    Google Scholar 

  30. Yu X, Wu T, Huang J, Wang Y (2008) A non-cooperative game approach for distributed power allocation in multi-cell OFDMA-relay networks. In: Proceedings of IEEE VTC, pp 1920–1924

    Google Scholar 

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Lã, Q.D., Chew, Y.H., Soong, BH. (2016). Potential Game Approach to Downlink Multi-Cell OFDMA Networks. In: Potential Game Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-30869-2_4

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  • DOI: https://doi.org/10.1007/978-3-319-30869-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30867-8

  • Online ISBN: 978-3-319-30869-2

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