期刊文献+

一种构造CDF型双正交小波的方法

The Construction of CDF Biorthogonal Wavelet Based on Lifting Scheme
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摘要 利用提升格式 ,构造了 CDF型 [1]的双正交小波 ,并探讨了提升算子 S的选择规律 ,最后给出构造实例 .结果表明 :这种构造方法比传统的构造方法简单、易行 ,而且选择不同的提升算子S,可以得到不同性质的双正交小波 。 The CDF biorthogonal waveletes are constructed by lifting scheme. At the same time, the regulation of lifting operator S is got. Finally, some examples are given. The results show: this method is much easier than the traditional methods. Moreover, more biorthogonal wavelets can be gotten based on different operators. So, the construction of method is more useful than other methods.
出处 《数学研究》 CSCD 2002年第2期204-210,共7页 Journal of Mathematical Study
关键词 提升格式 多分辨分析 提升算子 双正交小波 lifting scheme multiresolution analysis lifting operator boirthogonal wavelets
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参考文献6

  • 1Cohen A, Daubechies I, Feauvean J. Bi-orthogonal bases of compactly supported wavelets. Commu. Pure and Appl. Math. 1992, 45(5):485~560
  • 2Sweldens W. The lifting scheme: A construction of second wavelets. SIAM, J. Math. Anal. 1996, 29(2):511~546
  • 3Sweldens W. The lifting scheme: A new philosophy in biorthogonal wavelets construction. Wavelet Application in signal and Image Processing III. Proc of SPIE. 1995, 68~79
  • 4Sweldens W, Schreder P. Building your own wavelets at home. ACM SIGGRAPH course notes. 1996, 15~87
  • 5Daubechies I, Sweldens W. Factoring wavelet transforms into lifting scheme. Technical reports, Bell Laboratories, Lucent Technologies. 1996
  • 6Calderbank A R, Daubechies I, Sweldeas W, et al. Wavelet transform that map integers to integers reprint. 1996

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