Sampling theory for multi-band signals is shown to have a logical structure similar to that of Fourier analysis.
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.
Maurice M. Dodson. Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem. Journal de théorie des nombres de Bordeaux, Volume 14 (2002) no. 2, pp. 425-437. doi: 10.5802/jtnb.367
@article{JTNB_2002__14_2_425_0,
author = {Maurice M. Dodson},
title = {Shannon's sampling theorem, incongruent residue classes and {Plancherel's} theorem},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {425--437},
year = {2002},
publisher = {Universit\'e Bordeaux I},
volume = {14},
number = {2},
doi = {10.5802/jtnb.367},
zbl = {02184592},
mrnumber = {2040686},
language = {en},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.367/}
}
TY - JOUR AU - Maurice M. Dodson TI - Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem JO - Journal de théorie des nombres de Bordeaux PY - 2002 SP - 425 EP - 437 VL - 14 IS - 2 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.367/ DO - 10.5802/jtnb.367 LA - en ID - JTNB_2002__14_2_425_0 ER -
%0 Journal Article %A Maurice M. Dodson %T Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem %J Journal de théorie des nombres de Bordeaux %D 2002 %P 425-437 %V 14 %N 2 %I Université Bordeaux I %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.367/ %R 10.5802/jtnb.367 %G en %F JTNB_2002__14_2_425_0
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