Joint Beamforming and Power Control Algorithm for Cognitive MIMO System via Game Theory

Qing Peng; Yinwei Li; Zhijun Guo

doi:10.11959/j.issn.1000-0801.2015151

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Joint Beamforming and Power Control Algorithm for Cognitive MIMO System via Game Theory

research and development | 更新时间：2024-06-05

- Joint Beamforming and Power Control Algorithm for Cognitive MIMO System via Game Theory
- Telecommunications Science Vol. 31, Issue 8, Pages: 39-45(2015)
- 作者机构：
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- DOI：10.11959/j.issn.1000-0801.2015151
  CLC：
- Published Online：2015-08，
  
  Published：20 August 2015
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Qing Peng, Yinwei Li, Zhijun Guo. Joint Beamforming and Power Control Algorithm for Cognitive MIMO System via Game Theory[J]. Telecommunications science, 2015, 31(8): 39-45.
DOI：

Qing Peng, Yinwei Li, Zhijun Guo. Joint Beamforming and Power Control Algorithm for Cognitive MIMO System via Game Theory[J]. Telecommunications science, 2015, 31(8): 39-45. DOI： 10.11959/j.issn.1000-0801.2015151.

摘要

针对认知MIMO系统中波束成形和功率的联合优化问题，建立了非合作可分离对策联合博弈模型，提出了新的代价函数，根据KT条件证明了该模型中的各个子博弈均存在最优纳什均衡，从而得到联合博弈存在最优纳什均衡的结论，并提出了新的交替迭代算法。仿真结果表明，该算法有较快的收敛速度；同时，在动态环境下，算法也能达到最优纳什均衡，具有较好的稳定性。

Abstract

The optimization problem of joint beamforming and power for cognitive MIMO system was studied.Firstly，a non-cooperative separable game model was established and a cost function about the two parameters was put forward.Then it was concluded that the optimal Nash equilibrium of joint game exists by proving the existence of optimal Nash equilibrium of two sub-games through KT conditions.Finally，a new iterative algorithm alternately was presented.The simulation results demonstrate that the proposed algorithm has a faster convergence rate.Meanwhile，the algorithm also comes to the optimal Nash equilibrium and has perfect stability in the dynamic communication environment.

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references

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