Wireless Networks

, Volume 14, Issue 5, pp 647–657 | Cite as

Power control for multicell CDMA wireless networks: A team optimization approach

  • Tansu Alpcan
  • Xingzhe Fan
  • Tamer Başar
  • Murat Arcak
  • John T. Wen


We study power control in multicell CDMA wireless networks as a team optimization problem where each mobile attains at the minimum its individual fixed target SIR level and beyond that optimizes its transmission power level according to its individual preferences. We derive conditions under which the power control problem admits a unique feasible solution. Using a Lagrangian relaxation approach similar to [10] we obtain two decentralized dynamic power control algorithms: primal and dual power update, and establish their global stability utilizing both classical Lyapunov theory and the passivity framework [14]. We show that the robustness results of passivity studies [8, 9] as well as most of the stability and robustness analyses in the literature [10] are applicable to the power control problem considered. In addition, some of the basic principles of call admission control are investigated from the perspective of the model adopted in this paper. We illustrate the proposed power control schemes through simulations.


Power control CDMA wireless networks Team optimization Passivity Robustness Admission control 


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  1. 1.
    T. Alpcan and T. Başar, A hybrid systems model for power control in multicell wireless data networks, Performance Evaluation 57(4) (August 2004) 477–495.CrossRefGoogle Scholar
  2. 2.
    T. Alpcan, T. Başar and S. Dey, A power control game based on outage probabilities for multicell wireless data networks, IEEE Transactions on Wireless Communications 5(4) (2006) 890–899.CrossRefGoogle Scholar
  3. 3.
    T. Alpcan, X. Fan, T. Başar, M. Arcak and J.T. Wen, Power control for multicell CDMA wireless networks: A team optimization approach, in: Proceedings of the WiOpt’05 Workshop: Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, Riva del Garda, Trentino, Italy (April 2005) pp. 379–388.Google Scholar
  4. 4.
    A. Berman and R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences. Classics in Applied Mathematics. Society for Industrial and Applied Mathematics, Philadelphia, PA, (1994). Originally published by (Academic Press, New York, 1979).Google Scholar
  5. 5.
    D. Bertsekas, Nonlinear Programming, 2nd edition (Athena Scientific, Belmont, MA, 1999).zbMATHGoogle Scholar
  6. 6.
    D. Falomari, N. Mandayam and D. Goodman, A new framework for power control in wireless data networks: Games utility and pricing, in: Proceedings of the Allerton Conference on Communication, Control and Computing, Illinois, USA (September 1998) pp. 546–555.Google Scholar
  7. 7.
    X. Fan, M. Arcak and J.T. Wen, Passivation designs for CDMA uplink power control, in: Proceedings of the American Control Conference (ACC) 2004, Boston, MA (July 2004).Google Scholar
  8. 8.
    X. Fan, M. Arcak and J.T. Wen, Robustness of CDMA power control against disturbances and time-delays, in: Proceedings of the American Control Conference (ACC) 2004, Boston, MA (July 2004).Google Scholar
  9. 9.
    X. Fan, M. Arcak and J.T. Wen, Robustness of network flow control against disturbances and time-delays, Systems and Control Letters 53(1) (2004) 13–29.zbMATHCrossRefMathSciNetGoogle Scholar
  10. 10.
    F. Kelly, A. Maulloo and D. Tan, Rate control in communication networks: Shadow prices, proportional fairness and stability, Journal of the Operational Research Society 49 (1998) 237–252.zbMATHCrossRefGoogle Scholar
  11. 11.
    F.P. Kelly, Charging and rate control for elastic traffic, European Transactions on Telecommunications 8 (January 1997) 33–37.Google Scholar
  12. 12.
    T.S. Rapaport, Wireless Communications: Principles and Practice (Prentice Hall, Upper Saddle River, NJ, 1996).Google Scholar
  13. 13.
    R. Srikant, The Mathematics of Internet Congestion Control. Systems & Control: Foundations & Applications (Birkhauser, Boston, MA, 2004).Google Scholar
  14. 14.
    J.T. Wen and M. Arcak, A unifying passivity framework for network flow control, IEEE Transactions on Automatic Control 49(2) (February 2004) 162–174.CrossRefMathSciNetGoogle Scholar
  15. 15.
    R.D. Yates, A framework for uplink power control in cellular radio systems, IEEE Journal on Selected Areas in Communications 13 (September 1995) 1341–1347.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • Tansu Alpcan
    • 1
  • Xingzhe Fan
    • 2
  • Tamer Başar
    • 3
  • Murat Arcak
    • 2
  • John T. Wen
    • 2
  1. 1.Deutsche Telekom Laboratories, Technische Universität Berlin Ernst-Reuter-Platz 7BerlinGermany
  2. 2.Rensselaer Polytechnic Institute, Electrical, Computer, and Systems Eng. Dept.New YorkUSA
  3. 3.University of Illinois at Urbana-Champaign, Coordinated Science LaboratoryUrbanaUSA

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