中国激光, 2012, 39 (10): 1017002, 网络出版: 2012-09-10
基于随机微分的相位噪声统计特性
Statistical Properties of Phase Noise Based on Stochastic Differential
信号处理 随机微分 福克尔普朗克方程 群移傅里叶变换 相位噪声 signal processing stochastic differential Fokker-Planck equation motion-group Fourier transform phase noise
摘要
根据随机微分与噪声信号处理的内在联系,对相位噪声信号进行了系统的分析。建立了相位噪声通过滤波器后所满足的福克尔普朗克方程,利用群移傅里叶变换(MGFT)给出了方程的解,得到了相位噪声幅度和相位的联合概率密度函数。
Abstract
According to the intrinsic relations between the stochastic differential and the phase noise signal processing, the phase noise is systematically analyzed. The Fokker-Planck equation of phase noise is presented. The solution is given by using the Motion-Group Fourier transform equation. The joint probability density function of phase noise in the filter is given.
贺静波, 胡生亮, 罗亚松, 刘忠. 基于随机微分的相位噪声统计特性[J]. 中国激光, 2012, 39(10): 1017002. He Jingbo, Hu Shengliang, Luo Yasong, Liu Zhong. Statistical Properties of Phase Noise Based on Stochastic Differential[J]. Chinese Journal of Lasers, 2012, 39(10): 1017002.