Minimizing Uplink Cellular Outage Probability in Interference Limited Rayleigh and Nakagami Wireless Fading Channels

  • Mohammad Hayajneh Computer and Network Engineering Department, College of Information Technology, United Arab Emirates University, UAE


We propose a game theoretic non-cooperative algorithm to optimize the induced outage probability in an uplink cellular interference limited wireless Rayleigh and Nakagami fading channels. We achieve this target by maximizing the certainty equivalent margin (CEM). We derive a closed-form formula of the outage probability in Nakagami flat-fading channels, then we show that minimizing the induced outage fading probability for both Rayleigh and Nakagami channels is equivalent to maxi- mizing CEM. We present a non-cooperative power control algorithm using the game theory framework. Through this non-cooperative game, we argue that the best de- cision in such an environment is for all users to transmit at the minimum power in their corresponding strategy profiles. This finding considerably simplifies the imple- mentation of the proposed game.


[1] Farrokhi H., Rezayi M.(2012); An Improved Distributed Power-Control Scheme for Cellular Mobile Systems, Turkish Journal of Electrical Engineering & Computer Sciences, 20(1), 1-8, 2012.

[2] Fudenberg D., Tirole J. (1991); Game Theory, The MIT Press, 1991.

[3] Hayajneh M., Abdallah C. (2003); Performance of game theoretic power control algorithms in interference limited wireless fading channels, Proc. of Sixth Baiona Workshop on Signal Processing in Communications, 1-8, 2003.

[4] Hayajneh M., Abdallah C. (2015); Game Theoretic Distributed Power Control Algorithms for Uplink Wireless Data in Flat Fading Channels, International Journal of Computers Communications & Control, 10(4), 520-538, 2015.

[5] Kandukuri S., Boyd S. (2002); Optimal power control in interference limited fading wireless channels with outage probability specifications, IEEE Trans. Wireless Comm., 1(1), 46-55, 2002.

[6] Mitra D. (1993); An asynchronous distributed algorithm for power control in cellular radio systems, Proc. 4th WINLAB Workshop on 3rd Generation Wireless Information Networks, 177-186, 1993.

[7] von Neumann J., Morgenstern O. (1944); Theory of Games and Economic Behavior, Princeton University Press, Princeton, 1944.

[8] Peterson R., Ziemer R., Borth D. (1995); Introduction to Spread Spectrum Communications, Prentice Hall, Upper Saddle River, NJ, 1995.

[9] Proakis J.G. (2000); Digital Communications, The McGraw Hill Press 1221 Avenue of the Americas, New York, NY, 2000.

[10] Ross D. (1999); What People Want: The concept of utility from Bentham to game theory, University of Cape Town Press, South Africa, 1999.

[11] Saraydar C.U., Mandayam N.B., Goodman D.J. (2001); Pricing and power control in multicell wireless data network, IEEE JSAC, 19(9), 1883-1892, 2001.

[12] Saraydar C.U., Mandayam N.B., Goodman D.J. (2002); Efficient power control via pricing in wireless data networks, IEEE Tras. Comm., 50(2), 291- 303, 2002.

[13] Shah V., Mandayam N.B., Goodman D.J. (1998); Power control for wireless data based on utility and pricing, Proceedings of PIMRC, 1427-1432, 1998.

[14] Zander J. (1992); Distributed cochannel interference control in cellular radio systems, IEEE Tran. Veh. Tchnol., 41, 305- 311, 1992.
How to Cite
HAYAJNEH, Mohammad. Minimizing Uplink Cellular Outage Probability in Interference Limited Rayleigh and Nakagami Wireless Fading Channels. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 12, n. 6, p. 824-838, dec. 2017. ISSN 1841-9844. Available at: <>. Date accessed: 11 july 2020. doi:


cellular network, code-division-multiple-access (CDMA), outage proba- bility, power control, non-cooperative game (NPG).