The Shannon sampling theorem—Its various extensions and applications: A tutorial review

@article{Jerri1977TheSS,
  title={The Shannon sampling theorem\&\#8212;Its various extensions and applications: A tutorial review},
  author={Abdul J. Jerri},
  journal={Proceedings of the IEEE},
  year={1977},
  volume={65},
  pages={1565-1596}
}
  • A. J. Jerri
  • Published 1 November 1977
  • Mathematics
  • Proceedings of the IEEE
It has been almost thirty years since Shannon introduced the sampling theorem to communications theory. [] Key Method The extensions will include sampling for functions of more than one variable, random processes, nonuniform sampling, nonband-limited functions, implicit sampling, generalized functions (distributions), sampling with the function and its derivatives as suggested by Shannon in his original paper, and sampling for general integral transforms.

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