RESEARCH ANNOUNCEMENTS Reconstruction of Band-limited Signals From Uniform Random Samples  

作　　者：渠刚荣 汪成咏 康瑞瑞 

机构地区：[1]School of Science,Beijing Jiaotong University

出　　处：《数学进展》2012年第2期253-255,共3页Advances in Mathematics（China）

基　　金：Supported partially by NSFC(No.61071144)

摘　　要：The Shannon sampling theorem is one of the foundations for modern signal processing.Assume that a signal f（t）∈L^2（R）.σ〉0 is a constant.Signal f（t） is calledσ-band-limitedif ｜ω｜〉σ,F（ω） = f_（-∞）~∞f（t）e^（-iω≧t）dt = 0.The Shannon sampling theorem says that aσ-band-limitedf（t） can be reconstructed exactly by its all sampling points at the equal interval h≤π/σ.The reconstructed formula

关 键 词：数学 公式 采样定理 带限信号 

分 类 号：O1[理学—数学]