A Construction Method of Biorthogonal Bases of Perfect Reconstruction Wavelet

Zhang Z, Toda H, Kawabata H. A new complex wavelet: ri-spline wavelet and its application to signal processing. Proc. of the 41 st SICE Annual Conference, Osaka, Japan, 5-7 Aug. 2002. Vol.4:2496 - 2501.[2]Rioul O, Vetterli M. Wavelets and signal processing. IEEE Signal Processing Magazine, 1991, 8(4): 14 - 18.[3]Thakor N V, Sun Y, Rix H, Caminal P. Multiwave: A wavelet-based ECG data compression. IEICE Trans. Info. Syst.,1993, E76-D(12): 1462 - 1469.[4]Lewis A, Knowles G. Image compression using 2-D wavelet transform[J].IEEE Trans. on Image Processing.1992, 1(2):244-[5]Vitterli M, Herley C. Wavelets and filter banks: theory and design[J].IEEE Trans. on Signal Processing.1992, 40(9):2207-[6]Lang M, Guo H, Odegard J E, Burrus C S, Wells R O. Noise reduction using an undecimated discrete wavelet transform[J].IEEE Signal Processing Letters.1996, 3(1 ):10-[7]Dragotti P L, Vetterli M. Shift-invariant gibbs free denoising algorithm based on wavelet tranform footprints. Proc. of SPIE,2000, Wavelet Application in Signal and Image Processing, San Diego, USA, Aug. 2000.[8]Boccignone G, Chianese A, Picariello A. Using Renyis information and wavelets for target detection: An application to mammograms[J].Pattern Analysis Applications.2000, 3(4):303-[9]Sweldens W. The lifting scheme: A construction of second generation wavelets. Technical Report 1995:6, Industrial Mathematics Initiative, Department of Mathematics, University of South Carolina, 1995.[10]Sweldens W. The iifting scheme: A custom-design construction of biorthogonal wavelets[J].Journal of Appl. and Comput. Harmonic Analysis.1996, 3(2):186-[11]耿则勋.小波变换理论及在遥感影像压缩中的应用.北京:测绘出版社,2002:15-20.[12]Mallat S G. A theory for multiresolution signal decomposotion:the wavelet representation. IEEE. Trans. on PAMI, 1989, 11(7):674 - 693.[13]李素芝,万建伟.时域离散信号处理.长沙:国防科技大学出版社,1994,第3章.[14]Cohen A, Daubechies I, Feauveau J. Bi-orthogonal bases of compactly supported wavelets[J].Comm. On Pure Appl. Math.1992,45(5):485-[15]刘春生,张晓春.实用小波分析.北京:中国矿业大学出版社,2002:71-76.