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的二维谐波参数估计问题.利用循环累积量的性质得到了二维三阶循环累积量单一记录估计的统计性质.在此基础上,提出了基于三阶循环累积量特殊切片的二维谐波分量个数和频率对的估计方法,并得到了估计的强相容性质和强收敛速度.仿真试验对算法作了说明.
The two-dimensional(2-D) harmonics parameters estimation in multiplicative and additive noise is studied from the viewpoint of cyclostationary processes. Using the property of cyclic cumulants, the statistical properties of the single record estimator of 2-D third-order cyclic-moments are obtained. A new method for 2-D harmonics parameters estimation based on special slice of the third-order cyclic-cumulants is presented. The strong compatibility and convergence rate of the estimators are obtained. Simulation examples illustrate the algorithm.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2005年第10期1808-1811,共4页
Acta Electronica Sinica
基金
国家自然科学基金(No.60472062)
湖北省自然科学基金(No.2004ABA038)
关键词
二维谐波
乘性噪声
三阶循环累积量
收敛速度
two-dimensional harmonic
multiplicative noise
third-order cyclic-moments
convergence rate