The Characteristics of Multiscaled Biorthogonal Binary Wavelet Wraps with Short Support and Applications in Computer Science

作者: Yinlei Tian , Qingjiang Chen

DOI: 10.1007/978-3-642-23339-5_11

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摘要: In this work, a sort of binary wavelet packages with multi-scale are introduced, which generalizations multivariant packages. Finitely Supported bases for Sobolev spaces is researched. Steming from pair finitely supported refinale functions multi-scaled dilation factor in space L 2(R 2) satsfying very mild condition, we provide novel method designing bases, the generalization univariate wavelets Hilbert space. The definition biorthogonal nonseparable bivariate wraps provided and procedure designting them proposed. biorthogonality trait studied by virtue time-frequency analysis iterative method. Three formulas regarding these created. Moreover, it shown how to get new Riesz wraps.

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