Simple proof of incorrectness of the formula describing aliasing and folding effects in spectrum of sampled signal in case of Ideal signal sampling

• Autorzy: Borys A.

Identyfikatory

DOI

10.12716/1001.15.04.20

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

folding effects; ideal signal sampling; incorrectness of the Formula; aliasing effects; spectrum of a sampled signal; signal sampling; proof of incorrectness

• Wydawca: Faculty of Navigation, Gdynia Maritime University
• Czasopismo: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
• Rocznik: 2021
• Tom: Vol. 15 No. 4
• Strony: 873--876
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Borys A.

• Gdynia Maritime University, Gdynia, Poland

Bibliografia

• 1. 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).
• 2. Borys, A.: Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling. International Journal of Electronics and Telecommunications. 67, 1, 71–77 (2021).
• 3. Bracewell, R.: The Fourier Transform & Its Applications. McGraw-Hill Science/Engineering/Math (1999).
• 4. Marks, R.: Introduction to Shannon Sampling andInterpolation Theory. Springer-Verlag, New York (1991). https://doi.org/10.1007/978-1-4613-9708-3.
• 5. Oppenheim, A., Schafer, R.: Discrete-Time Signal Processing. Pearson (2009).
• 6. Osgood, B.G.: EE261 - The Fourier Transform and itsApplications. Stanford University, Stanford Engineering Everywhere (2014).
• 7. Strichartz, R.: A Guide to Distribution Theory and Fourier Transforms. World Scientific Publishing Company (2003).

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).