Atomic, WA-systems, and R-functions applied in modern radio physics problems: Part I

The main physical applications of atomic, WA-systems, and R-functions are presented. The Whittaker-Kotelnikov-Shannon sampling theorem is generalized on the basis of atomic functions. Applications of atomic functions in the theory of probability and random processes, interpolation of stationary rand...

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Bibliographic Details
Published in:Journal of communications technology & electronics 2014-10, Vol.59 (10), p.981-1009
Main Authors: Kravchenko, V. F., Kravchenko, O. V., Pustovoit, V. I., Churikov, D. V.
Format: Article
Language:English
Subjects:
Antennas
Atomic properties
Communications Engineering
Communications technology
Digital
Electronics
Engineering
Image processing
Interpolation
Mathematical models
Networks
Physics
Probability
Probability theory
Random processes
Review
Sampling
Signal processing
Spectrum allocation
Spectrum analysis
Studies
Technology
Theorems
Weighting functions
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Summary:The main physical applications of atomic, WA-systems, and R-functions are presented. The Whittaker-Kotelnikov-Shannon sampling theorem is generalized on the basis of atomic functions. Applications of atomic functions in the theory of probability and random processes, interpolation of stationary random processes with atomic functions, and a new class of probabilistic weighting functions used in digital signal and image processing are considered.
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226914090046