New analytical WA-systems of Kravchenko functions

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 infinit...

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Bibliographische Detailangaben
Hauptverfasser: Kravchenko, Victor F., Churikov, Dmitry V.
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung: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].