期刊名称：International Journal of Signal Processing, Image Processing and Pattern Recognition
印刷版ISSN：2005-4254
出版年度：2015
卷号：8
期号：5
页码：55-74
DOI：10.14257/ijsip.2015.8.5.07
出版社：SERSC
摘要：All phase digital filter (APDF) is a new type of linear phase FIR digital filter which was proposed in recent years, and a general method to design 2-D FIR digital filters called 2-D APDF is presented in this paper. Firstly, the theory of biorthogonal wavelet transform and 2-D APDF is expounded. Secondly, a novel algorithm is proposed to implement biorthogonal wavelet transform by using 2-D APDF based on DFT and IDCT. The relations between two kinds of filters are discussed. As an important application of biorthogonal wavelet transform, multi-resolution analysis of 2-D image signal could be used to test the feasibility and applicability of the proposed algorithm. Finally, the test image can be reconstructed perfectly in the multi-resolution analysis of 2-D image experiment using MATLAB tool in this paper, and the analysis indicates that the proposed method performs well
关键词：DFT filtering; IDCT filtering; all phase digital filter (APDF); biorthogonal ; wavelet transform (BWT); Mallat algorithm
