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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009

Volumes:
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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v69.i4.20
pages 305-325

NEW COMPLEX WAVELETS FAMILY BASED ON ATOMIC FUNCTIONS

Victor Filippovich Kravchenko
Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 11-7, Mokhovaya St., Moscow 125009, Russia; Bauman Moscow State Technical University, 5, Vtoraya Baumanskaya St., Moscow 105005 Russia; Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, 15, Butlerova St., Moscow 117342, Russia
A. Y. Koshelev
N.E. Bauman Moscow State Technical University, Moscow, Russia

ABSTRAKT

New Kravchenko-Rvachev complex wavelets built on the base of atomic functions (AF) are proposed and validated. Analytical statements are obtained for the wavelets and their Fourier transforms. The numerical implementation of the AF computation procedures forming the basis of proposed wavelets is considered. The main properties of the Kravchenko-Rvachev complex wavelets are researched and illustrated by numerical experiment.


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