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Orthogonal Polynomial Filter and Conjugate Quadrature Multifilter Banks

JIN Huping(China Aeronautical Computing Technique Research Institute, Xi'an 710068)  
The approaches are presented for constructing orthogonal polynomial filter and matrix CQFs. Firstly, orthogonal polynomial filter is constructed by using Riesz lemma and especial cosine polynomial. By the approaches, a series of compactly supported orthogonal wavelets, which include Daubechies I wavelet, can be constructed. Secondly, the method for constructing new matrix CQFs from old matrix CQFs is obtained. Finally, the relationship between lower matrix CQFs and higher matrix CQFs is establised.
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