Abstract
In this paper, we propose a game theoretic solution for joint channel selection and power allocation in cognitive radio networks. Our proposed algorithm enforces cooperation among nodes in an effort to reduce the overall energy consumption in the network. For designing the power control, we consider both the case in which no transmission power constraints are imposed, as well as the more practical case, in which the maximum transmission power is limited. We show that an iterative algorithm for channel scheduling and power allocation can be implemented, which converges to a pure strategy Nash equilibrium solution, i.e., a deterministic choice of channels and transmission powers for all users. Our simulation results also show that, while both channel allocation and power control can independently improve the system performance, there is a significant gain for the joint algorithm.
This work was supported in part by the NSF grant number: CNS-0435297.
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References
J. Mitola III, Cognitive Radio: An Integrated Agent Architecture for Software Defined Radio, Doctor of Technology Dissertation, Royal Institute of Technology (KTH), Sweden, May 2000.
Facilitating Opportunities for Flexible, Efficient, and Reliable Spectrum Use Employing Cognitive Radio Technologies, FCC Report and Order, FCC-05-57A1, March 11, 2005.
J. Mitola III, Cognitive Radio for Flexible Mobile Multimedia Communications, IEEE 1999 Mobile Multimedia Conference (MoMuC), November, 1999.
David J. Goodman and Narayan B. Mandayam, Network Assisted Power Control for Wireless Data, Mobile Networks and Applications, 6(5): 409–415, 2001
S. Ginde, J. Neel, and R. Buehrer, Game Theoretic Analysis of Joint Link Adaptation and Distributed Power Control in GPRS, Vehicular Technology Conference, Orlando October 2003.
D. Krishnaswamy, Game-theoretic formulations for network-assisted resource management in wireless networks, Proceeding of IEEE Vehicular Technology Conference, Vancouver, September 2002.
Shin Horng Wong and Ian J. Wassell, Application of Game Theory for Distributed Dynamic Channel Allocation, IEEE 55th Vehicular Technology Conference, Spring 2002, Birmingham, AL, pp. 404–408, May 2002.
uR. Menon, A. MacKenzie, R. Buehrer, and J. Reed, Game Theory and Interference Avoidance in Decentralized Networks, SDR Forum Technical Conference, November 15–18, 2004.
J. Neel, J.H. Reed, and R.P. Gilles, The Role of Game Theory in the Analysis of Software Radio Networks, SDR Forum Technical Conference, November 2002.
J. Neel, J.H. Reed, and R.P. Gilles, Convergence of Cognitive Radio Networks, Wireless Communications and Networking Conference, 2004.
N. Nie and C. Comaniciu, Adaptive Channel Allocation Spectrum Etiquette for Cognitive Radio Networks, IEEE Symposium on New Frontiers in Dynamic Spectrum Access Networks (DySPAN) 2005, Nov. 2005.
S.T. Chung and A.J. Goldsmith, Degree of Freedom in Adaptive Modulation: A Unified View, IEEE Transactions on Communications, 49(9), September 2001.
J.G. Proakis, Digital Communications, The McGraw-Hill Companies, Inc. 2001.
R. Rosenthal, A class of games possessing pure-strategy Nash equilibria, International Journal of Game Theory, 2: 65–67, 1973.
D. Monderer and L. Shapley, Potential Games, Games and Economic Behavior 14: 124–143, 1996.
G. Arslan and J. Shamma, Distributed convergence to Nash equilibria with local utility measurements, In 43rd IEEE Conference on Decision and Control, pp. 1538–1543, 2004.
Jeff S. Shamma and Grdal Arslan, Dynamic Fictitious Play, Dynamic Gradient Play, and Distributed Convergence to Nash Equilibria, IEEE Transactions on Automatic Control, 50(3), March, 2005.
Samuel Ieong, Robert McGrew, Eugene Nudelman, Yoav Shoham, and Qix-iang Sun, Fast and Compact: A Simple Class of Congestion Games, In Proceedings of American Association for Artifical Intelligence (AAAI), 2005.
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Nie, N., Comaniciu, C., Agrawal, P. (2007). A Game Theoretic Approach to Interference Management in Cognitive Networks. In: Agrawal, P., Fleming, P.J., Zhang, L., Andrews, D.M., Yin, G. (eds) Wireless Communications. The IMA Volumes in Mathematics and its Applications, vol 143. Springer, New York, NY. https://doi.org/10.1007/978-0-387-48945-2_9
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DOI: https://doi.org/10.1007/978-0-387-48945-2_9
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