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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
Highlighting Problems Occurring in Analysis of Critical Sampling of Cosinusoidal Signal
ABSTRACT: When the sampling of an analog signal uses the sampling rate equal to exactly twice the value of a maximal frequency occurring in the signal spectrum, it is called a critical one. As known from the literature, this kind of sampling can be ambiguous in the sense that the reconstructed signal from the samples obtained by criti-cal sampling is not unique. For example, such is the case of sampling of a cosinusoidal signal of any phase. In this paper, we explain in very detail the reasons of this behavior. Furthermore, it is also shown here that manipulating values of the coefficients of the transfer function of an ideal rectangular reconstruction filter at the transition edges from its zero to non-zero values, and vice versa, does not eliminate the ambiguity mentioned above.
KEYWORDS: Signal Processing, Cosinusoidal Signal, Signal Spectrum, Critical Sampling, Analog Signal, Analysis of Cosinusoidal Signal, Analysis of Critical Sampling, Analysis of Critical Signal
REFERENCES
Marks II R. J. 1991. Introduction to Shannon Sampling and Interpolation Theory, Springer-Verlag, New York. - doi:10.1007/978-1-4613-9708-3
Vetterli M., Kovacevic J., Goyal V. K. 2014. Foundations of Signal Processing, Cambridge University Press, Cambridge. - doi:10.1017/CBO9781139839099
Landau H. J. 1967. Sampling, data transmission, and the Nyquist rate, Proceedings of the IEEE, vol. 55, no. 10, 1701 – 1706. - doi:10.1109/PROC.1967.5962
Korohoda P., Borgosz J. 1999. Explanation of sampling and reconstruction at critical rate, Proceedings of the 6th International Conference on Systems, Signals, and Image Processing (IWSSIP), Bratislava, Slovakia, 157-160.
Osgood B. 2014. The Fourier Transform and Its Applications, Lecture Notes EE261, Stanford University.
Borys A., Korohoda P. 2017. Analysis of critical sampling effects revisited, Proceedings of the 21st International Conference Signal Processing: Algorithms, Architectures, Arrangements, and Applications SPA2017, Poznań, Poland, 131 – 136. - doi:10.23919/SPA.2017.8166852
Dirac P. A. M. 1947. The Principles of Quantum Mechanics, 3rd Ed., Oxford Univ. Press, Oxford.
Hoskins R. F. 2009. Delta Functions: An Introduction to Generalised Functions, Horwood Pub., Oxford. - doi:10.1533/9780857099358
Brigola R. 2013. Fourier-Analysis und Distributionen, edition swk, Hamburg.
Citation note:
Borys A., Korohoda P.: Highlighting Problems Occurring in Analysis of Critical Sampling of Cosinusoidal Signal. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 14, No. 3, doi:10.12716/1001.14.03.27, pp. 729-736, 2020
Authors in other databases:
Andrzej Borys:
orcid.org/0000-0003-1316-4031
7003863213
orcid.org/0000-0003-1316-4031
7003863213
Przemysław Korohoda:
Other publications of authors:
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