Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem
Journal de Théorie des Nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 425-437.

On montre que la théorie de l'échantillonnage pour les signaux multi-canaux a une structure logique qui s'apparente à celle de l'analyse de Fourier.

Sampling theory for multi-band signals is shown to have a logical structure similar to that of Fourier analysis.

@article{JTNB_2002__14_2_425_0,
author = {Dodson, Maurice M.},
title = {Shannon's sampling theorem, incongruent residue classes and {Plancherel's} theorem},
journal = {Journal de Th\'eorie des Nombres de Bordeaux},
pages = {425--437},
publisher = {Universit\'e Bordeaux I},
volume = {14},
number = {2},
year = {2002},
doi = {10.5802/jtnb.367},
zbl = {02184592},
mrnumber = {2040686},
language = {en},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.367/}
}
Maurice M. Dodson. Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem. Journal de Théorie des Nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 425-437. doi : 10.5802/jtnb.367. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.367/

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