自适应扩散算法的误差性能分析

为了分析分布式协作频谱感知认知网络中融合矩阵、步长等参数对自适应扩散算法的影响，对检测量估计误差性能进行了研究。给出了自适应扩散算法检测量的通用迭代公式，分析了检测算法的数据处理流程；推导了检测量估计误差向量的迭代表达式，利用网络瞬时均方偏差性能和各节点的稳态均方偏差性能评价融合矩阵参数对算法的影响。结果表明，不同的融合矩阵选取原则影响算法的检测性能，可以采用检测量误差估计的方法对算法参数进行研究。

Error performance analysis of adaptive diffusion algorithm

In order to analyze the influence of the parameters of the fusion matrix and the step size on the adaptive diffusion algorithm in distributed cooperative spectrum sensing cognitive radio networks(CRNs),the error performance of the estimator is studied.The general expression of the adaptive diffusion algorithm is given. The error formula of the measurement is deduced and the transient network mean square deviation(MSD) and steady state MSD of each node are used as the standard to measure the performance of the algorithm. The results show that the different fusion matrix selection rules can influence the detection performance of the diffusion algorithm and the algorithm parameters can be studied by using the error estimation of statistics.