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中文摘要：
研究二元向量值双正交小波滤波器的构造问题.当其中一个向量值尺度函数的两尺度矩阵序列的多相分解为矩阵多项式时,运用提升思想与矩阵的多相分解法,给出相应的二元向量值双正交小波滤波器的构造公式.讨论二元向量值小波包的性质,得到二元向量值小波包的双正交公式与向量值小波包基.
英文摘要：
The construction of filter banks of bivariate wavelets with biorthogonal vector-valued is re- searched. When the polyphase matrix decomposition of two-scale matrix sequence of one of a pair of vec- tor-valued scaling functions is matrix poly-noimal, formulas for constructing the corresponding filter banks for vector-valued biorthogonal bivariate wavelets are proposed by means of lifting scheme and polyphase matrix decomposition method. The properties of vector-valued bivariate wavelet packets are discussed. The biorthogonality formulas for the vector-valued bivariate wavelet packets and vector-valued wavelet packet bases are obtained.
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