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Constrained power control

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Abstract

High system capacities can be achieved by controlling the transmitter power in multiuser radio systems. Power control with no constraint on the maximum power level has been studied extensively in earlier work [1–18]. Transmitter power is at a premium in radio systems such as cellular systems and PCS. There is a limit on the maximum transmitter power especially at the terminals (e.g. mobile units and handsets) since the power comes from a battery. In this paper we study power control that maximizes the minimum carrier to interference ratio (CIR), with a constraint on the maximum power. The optimal power vector solution lies on the boundary of the constrained power vector set and achieves a balance in the CIR's. Results indicate that the constraints do not induce any stability problems. A distributed scheme with favourable convergence properties and close to optimum performance is presented. Simulation results show that the algorithm tries to maximize the number of terminals served with CIR greater than or equal to the target CIR, while conserving power.

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References

  1. W. Tschriks, “Effects of transmission power control on the cochannel interference in cellular radio networks”, Electrotechnik und Informationstechnik, Vol. 166, No. 5, 1989.

  2. T. Fujii and M. Sakamoto, “Reduction of cochannel interference in cellular systems by intra-zone channel reassignment and adaptive transmitter power control”, Proc. IEEE Veh. Tech. Conf., VTC-88, 1988, pp. 668–672.

    Google Scholar 

  3. T. Nagatsu, T. Tsuruhara, and M. Sakamoto, “Transmitter power control for cellular land mobile radio”, Proc. IEEE Globecom 1983, pp. 1430–1434.

  4. J. F. Whitehead, “Signal-Level-Based Dynamic Power Control for Co-channel Interference Management”, VTC 1993.

  5. J. M. Aein, “Power Balancing in Systems Employing Frequency Reuse”, Comsat Tech. Rev., Vol. 3, No. 2, 1973.

  6. H. J. Meyerhoff, “Method for Computing the Optimum Power Balance in Multibeam Satellite”, Comsat Tech. Rev., Vol. 4, No. 1, 1974.

  7. R. W. Nettleton and H. Alavi, “Power control for spreadspectrum cellular mobile radio system”, Proc. IEEE Veh. Tech. Conf., VTC-83, 1983, pp. 242–246.

    Google Scholar 

  8. J. Zander, “Performance of optimum transmitter power control in cellular radio systems”, IEEE Transactions on Vehicular Technology, Vol. 41, No. 1, 1992.

  9. J. Zander, “Distributed cochannel interference control in cellular radio systems”, IEEE Transactions on Vehicular Technology, Vol. 41, No. 3,1992.

  10. S. A. Grandhi, R. Vijayan, D. J. Goodman, and J. Zander, “Centralized Power Control in Cellular Radio Systems”, IEEE Transactions on Vehicular Technology, Vol. 42, No. 4, 1993.

  11. S.A. Grandhi, R. Vijayan, and D. J. Goodman, “A Distributed Algorithm for Power Control in Cellular Radio Systems”, Thirtieth Annual Allerton Conference on Communication, Control, and Computing, Monticello, Illinois, September 30–October 2, 1992.

  12. G. J. Foschini, “A Simple Distributed Autonomous Power Control Algorithm and its Convergence”, IEEE Transactions on Vehicular Technology, Vol. 42, No. 4, 1993.

  13. S. A. Grandhi, R. Vijayan, and D. J. Goodman, “Distributed Power Control in Cellular Radio Systems”, (accepted for publication as a letter in IEEE Transactions on Communications).

  14. J. Zander, “Transmitter Power Control for Co-channel Interference Management in Cellular Radio Systems”, Proc. 4th WINLAB Workship, Oct. 19–20, 1993.

  15. N. Bambos and G. J. Pottie, “On Power Control in High Capacity Cellular Radio Networks”, Proc. 3rd WINLAB Workship on 3rd Generation Wireless Information Networks, New Burnswick, NJ, April 1992.

  16. D. Mitra, “An Asynchronous Distributed Algorithm for Power Control in Cellular Radio systems”, Proc. 4th WINLAB Workship, Oct. 19–20, 1993.

  17. J. Zander and M. Frodigh, “Comment on Performance of Optimum Transmitter Power Control in Cellular Radio Systems”, submitted to IEEE Veh. Tech. Transactions.

  18. R. Yates and C. Y. Huang, “Integrated Power Control and Base Station Assignment”, submitted to IEEE Veh. Tech. Transactions.

  19. S. A. Grandhi, R. Vijayan, R. Yates, D. J. Goodman, and J. M. Holtzman, “Distributed Dynamic Resource Allocation”, Technical Report WINLAB-TR58, July 1993.

  20. F. R. Gantmacher, The Theory of Matrices, Vol. 2, Chelsea Publishing Company, 1964.

  21. D. P. Bertsekasand, J. N. Tsitsiklis, Parallel and Distributed Computation, Numerical Methods, pp. 99–104, 130–135, Prentice Hall, 1989.

  22. S. Ariyavisitakul, “Achievable performance of autonomous SIR-based power control”, Electronic Letters, Vol. 29, pp. 694–695, 1993.

    Google Scholar 

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Authors and Affiliations

  1. BNR INC., P.O. Box 833871, 75083-3871, Richardson, TX, USA

    Sudheer A. Grandhi

  2. Radio Communication, Systems Laboratory, Royal Institute of Technology, ELECTRUM 207, S-164 40, KISTA, Sweden

    Jens Zander

  3. WINLAB, Rutgers, The State University of New Jersey, P.O. Box 909, 08855-0909, Piscataway, NJ, USA

    Roy Yates

Authors
  1. Sudheer A. Grandhi
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  2. Jens Zander
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  3. Roy Yates
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Grandhi, S.A., Zander, J. & Yates, R. Constrained power control. Wireless Pers Commun 1, 257–270 (1994). https://doi.org/10.1007/BF01098870

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