Title :
New analytical WA-systems of Kravchenko functions
Author :
Kravchenko, Victor F. ; Churikov, Dmitry V.
Author_Institution :
Kotel´´nikov Inst. of Radio Eng. & Electron., RAS, Russia
Abstract :
In this representation the new class of analytical WA-systems of Kravchenko functions on the basis of the theory of atomic functions (AF) [1-5] are constructed and proof. The all wavelet conditions [3-8, 12-15] are satisfied exact. The constructed wavelets have a compact support and they are infinitely differentiable. New wavelet function using for the analysis of time series on examples of Solar activity, quasar apparent magnitude and electrocardiography [9-11, 16].
Keywords :
time series; wavelet transforms; Kravchenko function; Solar activity; WA-system; electrocardiography; quasar apparent magnitude; time series; wavelet function; Ear; Integrated circuits; Wavelet analysis;
Conference_Titel :
Days on Diffraction (DD), 2010
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0244-0
Electronic_ISBN :
978-5-9651-0529-8
