Multivariate filter banks with a polyphase matrix built by matrix factorization （lattice structure） were proposed to obtain orthonormal wavelet basis. On the basis of that, we propose a general method of constructin...Multivariate filter banks with a polyphase matrix built by matrix factorization （lattice structure） were proposed to obtain orthonormal wavelet basis. On the basis of that, we propose a general method of constructing filter banks which ensure second and third accuracy of its corresponding scaling function. In the last part, examples with second and third accuracy are given.展开更多
基金Supported by Prof. Y.Xu under his grant in Program of "One Hundred Distinguished Chinese Scientists" of the Chinese Academy of Sciencesthe National Natural Science Foundation of China(No.10371122)Postgraduate Innovation Fund of the Chinese Academ
文摘Multivariate filter banks with a polyphase matrix built by matrix factorization （lattice structure） were proposed to obtain orthonormal wavelet basis. On the basis of that, we propose a general method of constructing filter banks which ensure second and third accuracy of its corresponding scaling function. In the last part, examples with second and third accuracy are given.
