@article{Borys_2024_2,
author = {Borys, Andrzej},
title = {A New Result on Description of the Spectrum of a Sampled Signal},
journal = {TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation},
volume = {18},
number = {2},
pages = {393-397},
year = {2024},
url = {./Article_A_New_Result_on_Description_of_Borys,70,1412.html},
abstract = {It is explained, in introduction of this paper, why the description of the output signal at an A/D converter in the form that is presented in such respected textbooks as: a one written by Prandoni and Vetterli, and another one by van de Plassche is appropriate and correct. Unlike all others, especially those using in it the so-called comb of Dirac deltas. The latter ones do not lead to getting a correct formula for the spectrum of the output waveform of an A/D converter, or they yield no formula at all. Using the description of the A/D output signal in form of a step function (as in the textbooks mentioned above), a new, correct formula for calculating the spectrum of the sampled signal is derived in this paper. It is a revised version of the formula currently used in the literature, that is of the so-called Discrete-Time Fourier Transform (DTFT), and it is a product of this DTFT and a certain correction factor. Finally, some literature items are referred to in which the designers of integrated circuits (containing A/D converters) point out discrepancies that arise in designs when the multiplying factor mentioned above is not taken into account.},
doi = {10.12716/1001.18.02.17},
issn = {2083-6473},
publisher = {Gdynia Maritime University, Faculty of Navigation},
keywords = {Signal Processing, Signal Spectrum, Spectrum of a Sampled Signal, A/D Converters, Discrete Time Fourier Transform (DTFT), Dirac delta, FET transistor, Calculations}
}