Another Proof of Ambiguity of the Formula Describing Aliasing and Folding Effects in Spectrum of Sampled Signal

• Autorzy: Borys Andrzej

Identyfikatory

DOI

10.24425/ijet.2022.139858

• Języki publikacji: EN

Abstrakty

EN

In this paper, a new proof of ambiguity of the formula describing the aliasing and folding effects in spectra of sampled signals is presented. It uses the model of non-ideal sampling operation published by Vetterli et al. Here, their model is modified and its black-box equivalent form is achieved. It is shown that this modified model delivers the same output sequences but of different spectral properties. Finally, a remark on two possible understandings of the operation of non-ideal sampling is enclosed as well as fundamental errors that are made in perception and description of sampled signals are considered.

Słowa kluczowe

EN

signal sampling; occurrence of spectrum aliasing and folding; modelling of non-ideal signal sampling operation; Vetterli's model

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: International Journal of Electronics and Telecommunications
• Rocznik: 2022
• Tom: Vol. 68, No. 1
• Strony: 115--122
• Opis fizyczny: Bibliogr. 12 poz., schem., wykr.

Twórcy

autor

Borys Andrzej

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

Bibliografia

• [1] A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing. New Jersey: Prentice Hall, 1998.
• [2] R. J. Marks II, Introduction to Shannon Sampling and Interpolation Theory, New York: Springer-Verlag, 1991.
• [3] R. N. Bracewell, The Fourier Transform and Its Applications, New York: McGraw-Hill, 2000.
• [4] A. Borys, “Spectrum aliasing does not occur in case of ideal signal sampling,” Intl Journal of Electronics and Telecommunications, vol. 67, no. 1, pp. 71-77, 2021. https://doi.org/10.24425/ijet.2021.135946
• [5] M. Vetterli, P. Marziliano, T. Blu, “Sampling signals with finite rate of innovation”, IEEE Transactions on Signal Processing, vol. 50, no. 6, pp. 1417-1428, 2002. https://doi.org/10.1109/TSP.2002.1003065
• [6] M. Vetterli, J. Kovacevic, V. K. Goyal, Foundations of Signal Processing. Cambridge, England: Cambridge University Press, 2014.
• [7] A. Borys, “Some useful results related with sampling theorem and reconstruction formula,” Intl Journal of Electronics and Telecommunications, vol. 65, no. 3, pp. 471-475, 2019. https://doi.org/10.24425/ijet.2019.129801
• [8] 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. https://doi.org/10.24425/ijet.2020.134016
• [9] 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. https://doi.org/10.24425/ijet.2020.131878
• [10] 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. https://doi.org/10.24425/ijet.2020.131885
• [11] A. Borys, “Spectrum aliasing does occur only in case of non-ideal signal sampling,” Intl Journal of Electronics and Telecommunications, vol. 67, no. 1, pp. 79-85, 2021. https://doi.org/10.24425/ijet.2021.135947
• [12] R. F. Hoskins, Delta Functions: Introduction to Generalised Functions. Oxford: Woodhead Publishing, 2010.