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