On Nyquist-Shannon Theorem with one-sided half of sampling sequence

2016/03/14 by Nikolai Dokuchaev, Dokuchaev, Nikolai
Computer Science · Mathematics · #42A38 #42B30 #562M15 #93E10 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Spectral Theory (math.SP) #cs.IT #math.IT #math.SP #msc:42A38 #msc:42B30 #msc:562M15 #msc:93E10

paper · pdf · doi:10.48550/arxiv.1603.04174

arxiv created 2016/03/19 · arxiv updated 2016/03/22

Abstract

The classical sampling Nyquist-Shannon-Kotelnikov theorem states that a band-limited continuous time function can be uniquely recovered without error from a infinite two-sided sampling series taken with a sufficient frequency. This short note shows that the function can be recovered from any one-sided semi-infinite half of any oversampling series, with the same boundary for admissible frequencies as in the classical theorem.

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