Adaptive digital processing of Multidimensional signals with by Victor F. Kravchenko

By Victor F. Kravchenko

During this monograph, the radical promising tendencies in adaptive electronic processing of multidimensional 1D–3D signs with diversified purposes to radio physics, radio engineering, and medication are thought of

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Approximation of Any Function by the Integer Functions of the Exponential Type. Dokl. Acad. Nauk RAN, 2000, vol. 371, no. 1, pp. 42–44. 21. Starets, G. A. One Class of Atomic Functions and Its Applications, Cand. Sc. ) Dissertation, Kharkov, Kharkov Gos. , 1984. Chapter 2 SPECTRAL PROPERTIES OF ATOMIC FUNCTIONS AND NOVEL WINDOWS Let us consider the application of the AF to problems of digital signal processing and show their efficiency in comparison with processing by classical methods. Below, new weighting functions (windows) will be proposed and justified [1–4].

Kravchenko, V. F. New Synthesized Windows. DAN RAN. 2002, vol. 382, no. 2, pp. 190–198. 2. Zelkin, Ye. G. and Kravchenko, V. F. Atomic Functions in Antenna Synthesis Problems and New Synthesized Windows. J. Commun. Technol. El. 2001, vol. 46, no. 8, pp. 829–857. 3. Basarab, M. , Kravchenko, V. , and Masyuk, V. M. R-Functions, Atomic Functions and Their Applications. Zarubezhnaya Radioelektronika. Uspekhi Sovremennoi Radioelektroniki, 2001, no. 8, pp. 5–40. 4. Basarab, M. A. and Kravchenko, V. F.

Fig. 13. The Kravchenko–Gauss windows (a) K42 G22 , (b) K44 G2 , (c) K4 G3 , and (d) K42 G3 . 54 Ch. 2. Spectral Properties of Atomic Functions and Novel Windows Fig. 14. The Kravchenko–Bernstein–Rogozinskii windows (a) K42 BR and (b) K42 BR2 . Fig. 15. 5 . Fig. 16. The Kravchenko–Bernstein–Rogozinskii window K62 BR2 . 10. 18 demonstrates the influence of the window’s time dilation w∗ (t) = w (k · t) on sidelobe levels and maximum transformation losses. The time dilation corresponds 1 to shortening the interval of definition for the window [a∗ ; b∗ ] = [a; b], where k is the k scale factor and [a; b] is the interval of definition for window w(t).

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