Generalized Sampling Series Approximation of Random Signals from Local Averages  

作　　者：宋占杰 何改云 叶培新 杨德运 

机构地区：[1]School of Sciences, Tianjin University [2]School of Mechanical Engineering, Tianjin University [3]School of Mathematics and LPMC, Nankai University [4]Department of Information Science, Taishan College

出　　处：《Transactions of Tianjin University》2007年第1期8-11,共4页天津大学学报（英文版）

基　　金：National Natural Science Foundation of China (No60572113,No10501026) and Liuhui Center for Applied Mathematics

摘　　要：Signals are often of random character since they cannot bear any information if they are predictable for any time t, they are usually modelled as stationary random processes .On the other hand, because of the inertia of the measurement apparatus, measured sampled values obtained in practice may not be the precise value of the signal X(t) at time tk (k∈Z), but only local averages of X(t) near tk. In this paper, it is presented that a wide (or weak ) sense stationary stochastic process can be approximated by generalized sampling series with local average samples.Signals are often of random character since they cannot bear any information if they are predictable for any time t, they are usually modelled as stationary random processes. On the other hand, because of the inertia of the measurement apparatus, measured sampled values obtained in practice may not be the precise value of the signal X（t） at time tk（ k∈ Z）, but only local averages of X（t） near tk, In this paper, it is presented that a wide （or weak ） sense stationary stochastic process can be approximated by generalized sampling series with local average samples.

关 键 词：stochastic processes local averages generalized sampling series 

分 类 号：TN911.7[电子电信—通信与信息系统]