TELECOMMUNICATIONS AND RADIO ENGINEERING - 2011 Vol. 70,
No 9 		 

 

 

 

ANALYTICAL KRAVCHENKO-KOTELNIKOV AND KRAVCHENKO-LEVITAN WAVELETS IN THE DIGITAL UWB SIGNAL PROCESSING



V.F. Kravchenko & D.V. Churikov
Kotel’nikov Institute of Radio Engineering and Electronics of RAS,
Moscow, Russia
Address all correspondence to V.F. Kravchenko E-mail: olegk@lianet.ru

Abstract
This article consists of three parts. The first part considers foundations of wavelet transform, generalized Kotelnikov series and Levitan polynomial, constructed on basis of atomic functions (AF). The second part deals with a new analytical Kravchenko-Kotelnikov and Kravchenko-Levitan wavelet classes. The third part is dedicated to the quality functional statement. The numerical experiments and physical analysis both have illustrated effectiveness of this approach to digital ultra wideband (UWB) signal processing.
KEY WORDS: atomic functions, wavelet analysis, analytical wavelets, digital ultra wideband signal processing

References

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pages 759-786

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