【作者】 杨世永； 李宏伟； 何水明；

【Author】 Yang Shiyong Li Hongwei He Shuiming (School of Mathematics and Physics,China University of Geosciences,Wuhan 430074)

【机构】 中国地质大学数理学院；

【摘要】 本文从循环平稳的观点出发来研究乘性和加性噪声中二维谐波的参数估计问题,利用循环累积量的性质证明了二维二阶循环累积量单一记录估计的统计性质。在此基础上,对于零均值乘性噪声中的二维谐波信号提出了基于二阶循环累积量的二维谐波分量个数和频率对的估计方法,并分别得到了估计的强收敛速度。仿真试验验证了所提方法的性能。更多还原

【Abstract】 In this paper,the two-dimensional(2-D) harmonics retrieval in multiplicative and additive noise is studied from the viewpoint of cyclostationary processes.Using the property of cyclic cumulants,we proof the statistical properties of the single record estimator of 2-D second-order cyclic-cumulants.The method of estimation for harmonics parameters of 2-D harmonics with zero mean of multiplicative noise based on special slice of the second-order cyclic-cumulants are presented,The strong convergence rate of the estimators are obtained.Simulation examples illustrate the algorithm.更多还原