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An Iterative Approach to the Power Control Problem in Multi-Service CDMA Systems: Distributed Algorithms and their Convergence

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Abstract

In this paper we present two decentralized Iterative Power Control Algorithms (IPCAs) for the uplink and downlink communication in multi-service CDMA wireless environments in order to expand the system capacity while at the same time satisfy the various QoS requirements. The proposed dynamic IPCAs are decentralised in the sense that they can be implemented in a distributed mode at the individual cell sites and mobile stations based on local measurements and information, and without the need of co-ordination between the different cells. The main feature of these two power control algorithms is that they combine the allocation as well as the correction of power in a multi-service wireless system. For the algorithms presented here whenever power settings exist for which all users meet the QoS requirements we prove and demonstrate exponentially fast convergence to the optimal power values. Finally we present some numerical results to assess the performance of our algorithms by applying them in some test cases.

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References

  1. K.S. Gilhousen, I.M. Jacobs, R. Padovani, A.J. Viterbi, L.A. Weaver and C.E. Wheatley, “On the Capacity of a Cellular CDMA System”, IEEE Trans. Veh. Technol., Vol. 40, No. 2, pp. 303–312, 1991.

    Google Scholar 

  2. W.C.Y. Lee, “Overview of Cellular CDMA”, IEEE Trans. Veh. Technol., Vol. 40, No. 2, pp. 291–302, 1991.

    Google Scholar 

  3. J.M. Aein, “Power Balancing in Systems Employing Frequency Reuse”, COMSTAT Tech. Rev., Vol. 3, No. 2, pp. 277–299, 1973.

    Google Scholar 

  4. R.W. Nettleton and H. Alavi, “Power Control for a Spread Spectrum Cellular Mobile Radio System”, in Proc. Veh. Technol. Conf. VTC-83, pp. 242–246, 1983.

  5. J. Zander, “Performance of Optimum Transmitter Power Control in Cellular Radio Systems”, IEEE Trans. Veh. Technol., Vol. 41, No. 1, 1992.

  6. Q. Wu, “Performance of Optimum Transmitter Power Control in CDMA Cellular Mobile Systems”, IEEE Trans. Veh. Technol., Vol. 48, No. 2, pp. 571–575, 1999.

    Google Scholar 

  7. S.A. Grandhi, R. Vijayan and D.J. Goodman, “Distributed Power Control in Cellular Radio Systems”, IEEE Trans. Commun., Vol. 42, Nos. 2–4, pp. 226–228, 1994.

    Google Scholar 

  8. J. Zander, “Distributed Cochannel Interference Control in Cellular Radio Systems”, IEEE Trans. Veh. Technol., Vol. 41, No. 3, pp. 305–311, 1992.

    Google Scholar 

  9. G. Foschini and Z. Milanic, “A Simple Distributed Autonomous Power Control Algorithm and its Convergence”, IEEE Trans. Veh. Technol., Vol. 42, No. 4, pp. 641–646, 1993.

    Google Scholar 

  10. D. Mitra, “An Asynchronous Distributed Algorithm for Power Control in Cellular Radio Systems”, in Proc. 4th Winlab Workshop on 3rd Generation Wireless Information Network, Oct. 1993.

  11. C.Y. Lee and T. Park, “A Parametric Power Control with Fast Convergence in Cellular Radio Systems”, IEEE Trans. Veh. Technol., Vol. 47, No. 2, pp. 440–449, 1998.

    Google Scholar 

  12. R. Yates and C.H. Huang, “Integrated Power Control and Base Station Assignment”, IEEE Trans. Veh. Technol., Vol. 44, No. 3, 1995.

  13. R. Yates, “A Framework for Uplink Power Control in Cellular Radio Systems”, IEEE JSAC, Vol. 13, No. 7, 1995.

  14. W.S. Wong and K.H. Lam, “Distributed Power Balancing with a Sparse Information Link”, in Proc. Veh. Technol. Conf. VTC-94, pp. 824–828, 1994.

  15. C.W. Sung and W.S. Wong, “The Convergence of an Asynchronous Cooperative Algorithm for Distributed Power Control in Cellular Systems”, IEEE Trans. Veh. Technol., Vol. 48, No. 2, pp. 563–570, 1999.

    Google Scholar 

  16. C.W. Sung and W.S. Wong, “A Distributed Fixed-Step Power Control Algorithm with Quantization and Active Link Protection”, IEEE Trans. Veh. Technol., Vol. 48, No. 2, pp. 553–562, 1999.

    Google Scholar 

  17. N. Bambos, “Toward Power-Sensitive Network Architectures in Wireless Communications: Concepts, Issues, and Design Aspects”, IEEE Personal Communications, pp. 50–59, 1998.

  18. F.R. Gantmacher, The Theory of Matrices, Vol. 2. Chelsea: New York, 1974.

    Google Scholar 

  19. S. Chen, N. Bambos and G. Pottie, “Power Control Based Call Admission Schemes with Active Link Quality Protection in Wireless Communication Networks”, in 28th Annual Conference on Information Sciences and Systems, Princeton University, Princeton, NJ, 1994.

    Google Scholar 

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Kotsakis, G., Papavassiliou, S. An Iterative Approach to the Power Control Problem in Multi-Service CDMA Systems: Distributed Algorithms and their Convergence. Wireless Personal Communications 22, 1–22 (2002). https://doi.org/10.1023/A:1016055425257

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