• Corpus ID: 52700

On sampling theorem with sparse decimated samples

@article{Dokuchaev2016OnST,
  title={On sampling theorem with sparse decimated samples},
  author={Nikolai Dokuchaev},
  journal={ArXiv},
  year={2016},
  volume={abs/1605.00414}
}
The classical sampling Nyquist-Shannon-Kotelnikov theorem states that a band-limited continuous time function is uniquely defined by infinite two-sided s ampling series taken with a sufficient frequency. The paper shows that these band-limited functions allows an arbitrarily close uniform approximation by functions that are uniquely defined by thei r extremely sparse subsamples representing arbitrarily small fractions of one-sided equidist ant sample series with fixed oversampling parameter. In… 

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