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

RESEARCH ANNOUNCEMENTS Reconstruction of Band-limited Signals From Uniform Random Samples
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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
机构地区 School of Science
出处 《数学进展》 CSCD 北大核心 2012年第2期253-255,共3页 Advances in Mathematics(China)
基金 Supported partially by NSFC(No.61071144)
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