基于博弈论多个授权用户的空闲频谱分配

针对认知无线电系统中授权用户的空闲频谱共享问题，利用博弈论的基本模型，改进一种线性导数迭代的频谱分配方法。该方法利用授权用户前一时刻的分配策略，根据系统的收益函数变化最快方向，并且自适应地进行迭代，达到快速纳什平衡。与传统线性迭代算法相比，避免了根据用户通信参数确定调整因子的过程，使认知用户在考虑自身条件，不影响授权用户正常通信的条件下，得到通信质量较好的频段，有利认知用户的通信，同样也使授权用户获得较多的频谱分配收益。仿真结果表明：该算法与传统线性迭代相比，在相同误差下缩短了迭代周期。

Idle spectrum allocation of multiple authorized users based on game theory

For idle spectrum sharing of authorized users in the cognitive radio system, this paper improved a spec？trum allocation method in a linear derivative iteration according to the basic model of game theory. This method uses the allocation strategy of the authorized users at previous moment to achieve rapid Nash equilibrium by adaptive iter？ation, according to the fastest changing direction of the system revenue function. Compared with the traditional line？ar iterative algorithm, it avoids the process of setting adjustment factor based on the user＇s communication parame？ter, and gets the communication bands of better quality without influencing normal communications between the au？thorized users, considering conditions of their own cognitive users. This is favorable to the communications between cognitive users, enables authorized users to gain more access to spectrum allocation. Simulation results show that the algorithm shortens the iteration cycle under the same error, compared with the traditional linear iterative algo？rithm.