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Game Theoretic Joint Beamforming and Power Allocation for Cognitive MIMO Systems with Imperfect Channel State Information

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Wireless Algorithms, Systems, and Applications (WASA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8491))

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Abstract

This paper considers a spectrum underlay sharing cognitive radio networks composed of multiple primary users (PUs) and multiple non-cooperative secondary users (SUs). With the imperfect channel state information (CSI), our objective is to maximize the total throughput of SUs, while guaranteeing the interference constraints of PUs as well as the peak transmission power constraints of SUs. We formulate the design of the SUs as a non-cooperative game, where the SUs compete with each other over the beamforming weights and transmit power made available by the PUs. Nash equilibrium (NE) is considered as the solution of this game and we analyze the existence and uniqueness of NE. Simulation results show that under the imperfect CSI the proposed algorithm has good performance and can converge to a locally optimal pair of transmission power vector and beamforming vector.

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References

  1. Mitola, J.: Cognitive radio for flexible mobile multimedia communication. In: Proc. IEEE Int. Workshop on Mobile Multimedia Commun., San Diego, pp. 3–10 (1999)

    Google Scholar 

  2. Gesbert, D., Shafi, M., Shiu, D.S., Smith, P.J., Naguib, A.: From theory to practice: an overview of MIMO space-time coded wireless systems. IEEE J. Sel. Areas Commun. 21(3), 281–302 (2003)

    Article  Google Scholar 

  3. Kim, S.J., Giannakis, G.B.: Optimal resource allocation for MIMO ad hoc cognitive radio networks. IEEE Trans. Inf. Theory. 57(5), 3117–3131 (2011)

    Article  MathSciNet  Google Scholar 

  4. Zhang, Y.J.A., So, A.M.C.: Optimal spectrum sharing in MIMO cognitive radio networks via semidefinite programming. IEEE J. Sel. Areas Commun. 29(2), 362–373 (2011)

    Article  Google Scholar 

  5. Haykin, S.: Cognitive radio: Brain-empowered wireless communications. IEEE J. Sel. Areas Commun. 23(2), 201–220 (2005)

    Article  Google Scholar 

  6. Si, P.B., Ji, H., Yu, F.R., Leung, V.C.M.: Optimal cooperative internetwork spectrum sharing for cognitive radio systems with spectrum pooling. IEEE Trans. Veh. Tech. 59(4), 1760–1768 (2010)

    Article  Google Scholar 

  7. Zhang, L., Liang, Y., Xin, Y.: Joint beamforming and power allocation for multiple access channels in cognitive radio networks. IEEE J. Sel. Areas Commun. 26(1), 38–51 (2008)

    Article  MATH  Google Scholar 

  8. Cumanan, K., Krishna, R., Musavian, L., Lambotharan, S.: Joint beamforming and user maximization techniques for cognitive radio networks based on branch and bound method. IEEE Trans. Wireless Commun. 9(10), 3082–3092 (2010)

    Article  Google Scholar 

  9. Zhang, L., Liang, Y.C., Xin, Y., Poor, H.V.: Robust cognitive beamforming with partial channel state information. IEEE Trans. Wireless Commun. 8(8), 4143–4153 (2009)

    Article  Google Scholar 

  10. Zheng, G., Wong, K.-K., Ottersten, B.: Robust cognitive beamforming with bounded channel uncertainties. IEEE Trans. Signal Process. 57(12), 4871–4881 (2009)

    Article  MathSciNet  Google Scholar 

  11. Wang, J.H., Scutari, G., Palomar, D.P.: Robust MIMO cognitive radio via game theory. IEEE Trans. Signal Process. 59(3), 1183–1201 (2011)

    Article  MathSciNet  Google Scholar 

  12. Anandkumar, A.J.G., Anandkumar, A., Lambotharan, S., Chambers, J.A.: Robust rate-maximization game under bounded channel uncertainty. IEEE Trans. Veh. Tech. 60(9), 4471–4486 (2011)

    Article  Google Scholar 

  13. Parsaeefard, S., Sharafat, A.R., van der Schaar, M.: Robust equilibria in additively coupled games in communications networks. In: IEEE Global Telecommunications Conference (GLOBECOM), pp. 1–6 (2011)

    Google Scholar 

  14. Zhao, F., Zhang, J.Y., Chen, H.B.: Joint Beamforming and power allocation for multiple primary users and secondary users in cognitive MIMO systems via game theory. KSII Trans. Internet Inf. 7(6), 1379–1397 (2013)

    Google Scholar 

  15. Zhao, F., Li, B., Chen, H.B., Lv, X.Z.: Joint beamforming and power allocation for cognitive MIMO systems under imperfect CSI based on game theory. Wireless Pers. Commun. 73(3), 679–694 (2013)

    Article  Google Scholar 

  16. Osborne, M.J., Rubinstein, A.: A course in game theory. MIT Press, Cambridge (1999)

    Google Scholar 

  17. Wang, J.H., Payaró, M.: On the robustness of transmit beamforming. IEEE Trans. Signal Process. 58(11), 5933–5938 (2010)

    Article  MathSciNet  Google Scholar 

  18. Parsaeefard, S., Sharafat, A.R.: Robust distributed power control in cognitive radio networks. IEEE Trans. Mobile Comput. 12(4), 609–620 (2012)

    Article  Google Scholar 

  19. Fudenberg, D., Tirole, J.: Game theory. MIT Press, Cambridge (1991)

    Google Scholar 

  20. Louni, A., Khalaj, B.H.: Distributed beam-forming and power control in multi-relay underlay cognitive radio networks: a game-theoretical approach. In: 6th International ICST Conference on Cognitive Radio Oriented Wireless Networks and Communications (CROWNCOM), Osaka, pp. 71–75 (2011)

    Google Scholar 

  21. Wang, F., Wang, W.: Robust beamforming and power control for multiuser cognitive radio network. In: IEEE Global Telecommunications Conference (GLOBECOM), Miami, pp. 1–5 (2010)

    Google Scholar 

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Zhao, F., Zhang, J., Bie, R. (2014). Game Theoretic Joint Beamforming and Power Allocation for Cognitive MIMO Systems with Imperfect Channel State Information. In: Cai, Z., Wang, C., Cheng, S., Wang, H., Gao, H. (eds) Wireless Algorithms, Systems, and Applications. WASA 2014. Lecture Notes in Computer Science, vol 8491. Springer, Cham. https://doi.org/10.1007/978-3-319-07782-6_46

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  • DOI: https://doi.org/10.1007/978-3-319-07782-6_46

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07781-9

  • Online ISBN: 978-3-319-07782-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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