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- W2066707655 abstract "In this paper, we introduce a sort of vector-valued wavelet packets with eight-scale dilation factor for vector-valued multivariate function space. A new procedure for designing a sort of biorthogonal vector-valued multivariate wavelet packets according to a pair of biorthogonal vector-valued scaling functions, is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are obtained. Moreover, it is shown how to gain new Riesz bases of space L <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> (R <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</sup> ,C <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>u</sup> ) from these wavelet packets." @default.
- W2066707655 created "2016-06-24" @default.
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- W2066707655 date "2010-01-01" @default.
- W2066707655 modified "2023-09-25" @default.
- W2066707655 title "The Properties of Multivariate Wavelet Packets Associated with Eight-Scaled Filter Bank Functions" @default.
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- W2066707655 doi "https://doi.org/10.1109/ic4e.2010.87" @default.
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