Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling

• Autorzy: Borys Andrzej Marek

Identyfikatory

DOI

10.24425/ijet.2021.135946

• Języki publikacji: EN

Abstrakty

EN

A new model of ideal signal sampling operation is developed in this paper. This model does not use the Dirac comb in an analytical description of sampled signals in the continuous time domain. Instead, it utilizes functions of a continuous time variable, which are introduced in this paper: a basic Kronecker time function and a Kronecker comb (that exploits the first of them). But, a basic principle behind this model remains the same; that is it also a multiplier which multiplies a signal of a continuous time by a comb. Using a concept of a signal object (or utilizing equivalent arguments) presented elsewhere, it has been possible to find a correct expression describing the spectrum of a sampled signal so modelled. Moreover, the analysis of this expression showed that aliases and folding effects cannot occur in the sampled signal spectrum, provided that the signal sampling is performed ideally.

Słowa kluczowe

EN

signal sampling; occurrence of spectrum aliasing and folding; signal modelling; signal sampling operation; Kronecker time function; Kronecker comb

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: International Journal of Electronics and Telecommunications
• Rocznik: 2021
• Tom: Vol. 67, No. 1
• Strony: 71--77
• Opis fizyczny: Bibliogr. 6 poz., wykr.

Twórcy

autor

Borys Andrzej Marek

• Department of Marine Telecommunications, Faculty of Electrical Engineering, Gdynia Maritime University, Gdynia, Poland

Bibliografia

• [1] A. Borys, “Some topological aspects of sampling theorem and reconstruction formula,” Intl Journal of Electronics and Telecommunications, vol. 66, no. 2, pp. 301-307, 2020.
• [2] A. Borys, “Filtering property of signal sampling in general and under-sampling as a specific operation of filtering connected with signal shaping at the same time,” Intl Journal of Electronics and Telecommunications, vol. 66, no. 3, pp. 589-594, 2020.
• [3] A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing. New Jersey: Prentice Hall, 1998.
• [4] A. Borys, “On derivation of discrete time Fourier transform from its continuous counterpart,” Intl Journal of Electronics and Telecommunications, vol. 66, no. 2, pp. 355-368, 2020.
• [5] A. Borys, “Measuring process via sampling of signals, and functions with attributes,” Intl Journal of Electronics and Telecommunications, vol. 66, no. 2, pp. 309-314, 2020.
• [6] A. Borys, “Further discussion on modeling of measuring process via sampling of signals,” Intl Journal of Electronics and Telecommunications, vol. 66, no. 3, pp. 507-513, 2020.

Uwagi

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