认知Ad hoc网络中基于凸优化的功率控制算法

针对认知Ad hoc网络的特点,构建了相应的网络模型,提出了一种基于凸优化理论的分布式功率控制算法。在分析系统内部干扰的基础上,以最大化网络效用值为目标,以认知用户的发射功率为求解对象,建立了一个通用的数学优化模型。在凸优化理论的指导下,通过引入辅助变量和变量的对数变换,将该模型转变为等价的凸优化模型,采用拉格朗日对偶法对该模型进行求解,得到了分布式的功率迭代算法。仿真实验表明：与其他算法相比,该算法在满足系统约束条件的前提下,取得更好的系统性能。

Power Control Algorithm Based on Convex Optimization in Cognitive Ad hoc Networks

Aimed at the characteristics of cognitive Ad hoc network, a corresponding network model is established and a distributed power control algorithm based on convex optimization theory is proposed. Based on the analysis of system interference, by taking the network utility maximization as the target and transmit power of cognitive user as the solution object, a general math optimized model is formulated. Under the guidance of convex optimization theory, the model is transformed into a convex optimized model by introducing auxiliary variable and substituting variables. Lagrangian dual decomposition technique is used to solve the convex optimized model and the distributed power iterative algorithm is obtained. The simulation shows that under the premise of meeting the system constraints, the use of the proposed algorithm can obtain better system performances than that of other algorithms.