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

Nikolai Dokuchaev

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arXiv · 1603.04174

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

Nikolai Dokuchaev

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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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Nikolai Dokuchaev. 2016-03-14. On Nyquist-Shannon Theorem with one-sided half of sampling sequence. https://arxiv.org/abs/1603.04174

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