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On Nyquist-Shannon Theorem with one-sided half of sampling sequence (1603.04174v2)
Published 14 Mar 2016 in cs.IT, math.IT, and math.SP
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.