Abstract
Asymmetric formulas for wavelet transformation are established making it possible to include regularization in the general scheme of wavelet processing. A new class of filtering functions is constructed for direct and inverse wavelet transformations.
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REFERENCES
I. Daubechies, Ten Lectures on Wavelets, presented at CBMS-NSF Regional Conf. Series in Applied Mathematics, Philadelphia; SIAM, 61, 68 (1992).
N. M. Astaf'eva, Usp. Fiz. Nauk, 166, No. 11, 1085 (1996).
S. A. Mallet, Wavelet Tour of Signal Processing, Academic Press, San Diego (1998).
G. Strang and T. Nguyen, Wavelets and Filter Banks, Wellesley Cambridge Press, Boston (1996).
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Ill-Conditioned Problems [in Russian], Nauka, Moscow (1979).
G. I. Vasilenko, Theory of Restoring Signals [in Russian], Sovetskoe Radio, Moscow (1979).
V. A. Granovskii, Dynamic Measurements [in Russian], Énergiya, Leningrad (1984).
I. A. Novikov, Proc. Intern. Workshop on Sampling Theory and Applications (SAMPTA'99), Loen, Norway (1999), p. 138.
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Novikov, I.A. Regularization and Wave Approach to Dynamic Measurements. Measurement Techniques 45, 485–493 (2002). https://doi.org/10.1023/A:1020007820560
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DOI: https://doi.org/10.1023/A:1020007820560