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- W2033960035 abstract "Abstract Wavelet analysis is nowadays a widely used tool in applied mathematics. The concept of vector-valued binary wavelets with two-scale dilation factor associated with an orthogonal vector-valued scaling function is introduced. The existence of orthogonal vector-valued wavelets with two-scale is discussed. A necessary and sufficient condition is provided by means of vector-valued multiresolution analysis and paraunitary vector filter bank theory. An algorithm for constructing a sort of orthogonal vector-valued wavelets with compact support is proposed, and their orthogonal properties are investigated." @default.
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- W2033960035 date "2012-01-01" @default.
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- W2033960035 title "Construction of a type of Biorthogonal Binary Wave Functions by Multiresolution Analysis Approach" @default.
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- W2033960035 doi "https://doi.org/10.1016/j.phpro.2012.05.221" @default.
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