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2023 Journal Impact Factor - 0.7
2023 CiteScore - 1.4
ISSN 2083-6473
ISSN 2083-6481 (electronic version)
Editor-in-Chief
Associate Editor
Prof. Tomasz Neumann
Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
e-mail transnav@umg.edu.pl
Simple Proof of Incorrectness of the Formula Describing Aliasing and Folding Effects in Spectrum of Sampled Signal in Case of Ideal Signal Sampling
Times cited (SCOPUS): 1
ABSTRACT: A simple proof of the incorrectness of the formula, which is used in the literature nowadays, for description of the aliasing and folding effects in the spectrum of a sampled signal in the case of an ideal signal sampling, is given in this paper. By the way, it is also shown that such the effects cannot occur at all, when the signal sampling is considered to be performed perfectly.
KEYWORDS: Folding Effects, Ideal Signal Sampling, Incorrectness of the Formula, Aliasing Effects, Spectrum of a Sampled Signal, Signal Sampling, Proof of Incorrectness, Signal
REFERENCES
Borys, A.: Filtering Property of Signal Sampling in General and Under-Sampling as a Specific Operation of Filtering Connected with Signal Shaping at the Same Time. International Journal of Electronics and Telecommunications. 66, 3, 589–594 (2020).
Borys, A.: Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling. International Journal of Electronics and Telecommunications. 67, 1, 71–77 (2021).
Bracewell, R.: The Fourier Transform & Its Applications. McGraw-Hill Science/Engineering/Math (1999).
Marks, R.: Introduction to Shannon Sampling and Interpolation Theory. Springer-Verlag, New York (1991). - doi:10.1007/978-1-4613-9708-3
Oppenheim, A., Schafer, R.: Discrete-Time Signal Processing. Pearson (2009).
Osgood, B.G.: EE261 - The Fourier Transform and its Applications. Stanford University, Stanford Engineering Everywhere (2014).
Strichartz, R.: A Guide to Distribution Theory and Fourier Transforms. World Scientific Publishing Company (2003).
Citation note:
Borys A.: Simple Proof of Incorrectness of the Formula Describing Aliasing and Folding Effects in Spectrum of Sampled Signal in Case of Ideal Signal Sampling. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 15, No. 4, doi:10.12716/1001.15.04.20, pp. 873-876, 2021
Authors in other databases:
Andrzej Borys:
orcid.org/0000-0003-1316-4031
7003863213
orcid.org/0000-0003-1316-4031
7003863213
Other publications of authors:
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