采样级数对平稳过程的逼近  

Approximation of Weak Sense Stationary Stochastic Processes by Sampling Series

作　　者：叶茜[1] 田昕宇[1] 

机构地区：[1]天津大学理学院,天津300072

出　　处：《太原师范学院学报（自然科学版）》2011年第4期52-56,共5页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：平稳过程香农采样定理是随机信号处理的基石.但其中的sinc函数处理是一项繁琐的工作.为解决这一问题,用sinc函数Taylor展式的有限和对其进行逼近,并对变动后的采样级数进行误差分析显得十分重要.文章得到了变动后的采样级数均方收敛的条件,并计算出了整体的截断均方误差上界估计.The Shannon sampling theorem of stationary stochastic processes is the foundation of stochastic signal processing.However,it′s tedious to deal with the sinc function occurring in the sampling series.Therefore it′s necessary to approximate the sinc function by the finite sum of its Taylor series expansion,and then carry out the error analysis.The condition of convergence and the estimation of truncated mean square error upper bound are found out.

关 键 词：采样定理 宽平稳随机过程 sinc函数 TAYLOR展式 截断均方误差 

分 类 号：O29[理学—应用数学]