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Comparative Analysis of the Time and Frequency Domain Sampling Theorems  

Authors
 Khanyan G.S.
Date of publication
 2021
DOI
 10.31114/2078-7707-2021-1-87-94

Abstract
 A relational research of the limits of applicability of the two sampling theorems in their formulations for signals and spectra, which is absent in the literature on this topic, is carried out. It is shown that the frequency ranges of validity of the finite versions of both theorems coincide, and the infi-nite versions are obtained as a result of the limit transition to the infinity of the corresponding finite domain size.
Keywords
 analog and discrete Fourier transforms, finite and infinite signals and spectra, frequency band and time window indices.
Library reference
 Khanyan G.S. Comparative Analysis of the Time and Frequency Domain Sampling Theorems // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2021. Issue 1. P. 87-94. doi:10.31114/2078-7707-2021-1-87-94
URL of paper
 http://www.mes-conference.ru/data/year2021/pdf/D017.pdf

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