随机信号的Feller概率型算子逼近  

Approximation of Random Signals by Feller-Type Probabilistic Operators

作　　者：宋占杰[1] 叶培新[2] 

机构地区：[1]天津大学理学院,天津300072 [2]南开大学数学学院,天津300071

出　　处：《天津大学学报》2011年第2期180-183,共4页Journal of Tianjin University(Science and Technology)

基　　金：国家自然科学基金资助项目(60872161;10971251);天津市自然科学基金资助项目(08JCYBJC09600)

摘　　要：非平稳随机信号的逼近问题是信号处理中的重要问题之一,而均方连续的二阶矩过程属于一类常见的非平稳随机信号.为此,用Feller概率型算子构造了一类新型算子,并成功用于逼近均方连续的二阶矩过程.最后揭示了均方连续二阶矩过程和Feller概率型算子之间的奇异性.The approximation of non-stationary random signal is of importance in signal processing. Finite second- order moment process, which is continuous in quadratic mean, is a non-stationary random signal. In this paper the approximation of finite second-order moment process by a new Feller-type of probabilistic operator is derived and some special properties of real process with finite second-order moment and Feller-type operators are revealed.

关 键 词：随机信号 Feller概率型算子 均方连续 二阶矩过程 逼近 

分 类 号：O211[理学—概率论与数理统计]