A Discussion of Sampling Theorems

@article{Linden1959ADO,
  title={A Discussion of Sampling Theorems},
  author={D. A. Linden},
  journal={Proceedings of the IRE},
  year={1959},
  volume={47},
  pages={1219-1226}
}
The convolution theorem of Fourier analysis is a convenient tool for the derivation of a number of sampling theorems. This approach has been used by several authors to discuss first-order sampling of functions whose spectrum is limited to a region including the origin ("low-pass" functions). The present paper extends this technique to several other cases: second-order sampling of low-pass and band-pass functions, quadrature and Hilbert-transform sampling, sampling of periodic functions, and… CONTINUE READING
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