| With the wireless communication technology playing a more and more important role in daily life, the conflict between increasing communication demand and scarce spectrum resources deepens gradually. Presently, fixed spectrum assignment leads to low average spectrum utilization as well as high imbalance for the difference of region, the use of mode or time and otherwise. Good agility and high utilization dynamic spectrum management is urgent to be addressed in the next generation communications. Then cognitive radio is born in this background, which brings a promising technology to solve spectrum shortage, realize dynamic spectrum management and improve the efficiency of spectrum utilization.Based on study of dynamic spectrum management founded on game theory, this paper presents a matrix game model for the spectrum management, which is shown as follows:1) Game theory basic conceptions, classes and normal models are briefly introduced, and dynamic spectrum management problem based on game theory approaches are deeply discussed. Besides, a detailed analysis for two game models of this problem is made, and corresponding simulations are given in this paper. The simulations indicate that various spectrum management problems analyzed through game theory are convenient and reasonable, and the equilibrium outcomes are satisfying.2) A new game model analyzing spectrum management is presented, which is called matrix game. The spectrum management model founded on this game is simple to be formulated and easy to be implemented. The simulation results show that the minimum error attains10-14 and the maximum error is around10-6 in case of two or three users. For more than three users, errors are between10-6 and10-4 . Although the error changes with the randomly generated data, all users have optimized their own payoffs when the game outcome achieves the mixed Nash equilibrium. Therefore, it is a feasible method for non-cooperative users to solve spectrum management problem. |
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