Orthogonal Polynomial Filter and Conjugate Quadrature Multifilter Banks
JIN Huping(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.