Spectrum Aliasing Does Occur Only in Case of Non-ideal Signal Sampling
Abstract
In this paper, it has been shown that the spectrum aliasing and folding effects occur only in the case of non-ideal signal sampling. When the duration of the signal sampling is equal to zero, these effects do not occur at all. In other words, the absolutely necessary condition for their occurrence is just a nonzero value of this time. Periodicity of the sampling process plays a secondary role.References
A. Borys, “Spectrum aliasing does not occur in case of ideal signal sampling,” Intl Journal of Electronics and Telecommunications, submitted for publication in October 2020.
A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing. New Jersey: Prentice Hall, 1998.
R. J. Marks II, Introduction to Shannon Sampling and Interpolation Theory, New York: Springer-Verlag, 1991.
R. N. Bracewell, The Fourier Transform and Its Applications, New York: McGraw-Hill, 2000.
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 Telecommu-nications, vol. 66, no. 3, pp. 589-594, 2020.
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