Abstract
In this paper, the concept of orthogonal non-tensor bivariate wavelet packs, which is the generalization of orthogonal univariate wavelet packs, is pro -posed by virtue of analogy method and iteration method. Their orthogonality property is investigated by using time-frequency analysis method and variable se-paration approach. Three orthogonality formulas concerning these wavelet packs are obtained. Moreover, it is shown how to draw new orthonormal bases of space L 2(R 4) from these wavelet wraps. A procedure for designing a class of orthogonal vector-valued finitely supported wavelet functions is proposed by virtue of filter bank theory and matrix theory.
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Wang, G., Wei, R. (2011). The Traits of Orthogonal Nonseparable Binary-Variable Wavelet Packs in Two-Dimensional Function Space. In: Lin, S., Huang, X. (eds) Advanced Research on Computer Education, Simulation and Modeling. CESM 2011. Communications in Computer and Information Science, vol 175. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21783-8_10
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DOI: https://doi.org/10.1007/978-3-642-21783-8_10
Publisher Name: Springer, Berlin, Heidelberg
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