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Telecommunications and Radio Engineering
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ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v68.i8.10
pages 649-666

A New Class of Orthogonal Kravchenko WA-System Functions {ha(t)}

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
D. V. Churikov
V.A. Kotelnikov Institute of Radio Engineering and Electronics of RAS


On the basis of the ideas set forth in [1-11] construction of the new orthogonal Kravchenko wavelets is considered. This report consists of three parts. In the first part the construction of basic atomic function (AF) is stated and its basic properties are resulted. In the second part basic wavelets on the basis of AF ha(t) are constructing and prove. In the third part the characteristics of new wavelets are analyzed and compared with known following wavelets: the Meyer and Kotelnikov-Shannon ones.

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