Vol. 16, issue 08, article # 3

pdf Isaev Yu. N. Synthesis of wavelet basis for analysis of optical signals. Part 3. Representation of differential and inverse operators in wavelet bases. Wavelet packages . // Atmospheric and oceanic optics. 2003. V. 16. No. 08. P. 633-639.
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Abstract:

Detection of singularities in signals using wavelet decomposition is presented. An algorithm for construction of differential and inverse operators in wavelet bases is described for applications to problems useful from the viewpoint of adaptive optics. Detailed examples of such operators are presented. The construction of adaptive wavelets or the wavelet packages is considered.