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- W2140593670 abstract "Wavelet analysis has been developing a popular mathematical branch for twenty years. In this paper the notion of orthogonal vector-valued two-dimensional wavelet packets, which is a generalization of uni-wavelet packets, is introduced. Their orthogonality properties are discussed by virtue of time-frequency analysis method, operator theory and matrix theory. Orthogonality formulas are established. Three orthonormal basis of 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>2</sup> ,C <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>u</sup> ) is established from these orthogonal vector-valued wavelet packets." @default.
- W2140593670 created "2016-06-24" @default.
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- W2140593670 date "2009-11-01" @default.
- W2140593670 modified "2023-09-27" @default.
- W2140593670 title "The Orthogonality Properties of Vector-Valued Two-dimensional Wavelet Packets with an Integer Dilation Factor" @default.
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- W2140593670 doi "https://doi.org/10.1109/iitaw.2009.33" @default.
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