Vol. 15, issue 11, article # 5

pdf Isaev Yu. N. Synthesis of wavelet basis for analysis of optical signals. Part 1. Orthogonal wavelet basis. // Atmospheric and oceanic optics. 2002. V. 15. No. 11. P. 883-890.
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To restore and analyze random optical signals, various orthogonal bases are used. The algorithm enabling one to synthesize orthogonal wavelets obeying the condition of multiple scale analysis is presented along with a large number of new wavelets obtained with this algorithm. Orthogonal symmetric wavelets are synthesized. Examples of image compression and filtering are presented. Local properties of wavelets and the possibility of expanding signal about inhomogeneity scales are demonstrated.