以高阶统计量数学分析方法,对混合高斯模型进行研究,并给出理论计算结果。重点讨论二元混合高斯模型,给出高阶统计量的理论值,用Matlab仿真不同方差和不同均值时多膜性、对称性和斜度值、峰度值的估计结果,并比较斜度值、峰度值的理论结果和仿真结果,验证理论结果的正确性,为通信理论中混合高斯模型的研究做补充。 With high-order statistics mathematical analysis method, the Gaussian mixture model is studied, and the theoretical calculation results are given. This paper focuses on the binary mixed Gaussian model and gives the theoretical value of higher-order statistics. The simulation results of multi-filmness, symmetry, slope and kurtosis with different variances and different mean values ​​by Matlab are compared with the slope values , Kurtosis theory and simulation results to verify the correctness of the theoretical results to complement the study of mixed Gaussian model in communication theory.