期刊文献+

多小波理论的发展与研究 被引量:30

The Study and Evolution of the Theory of Multiwavelets
下载PDF
导出
摘要 介绍了正交多小波 ,双正交多小波以及正交多小波、双正交多小波的不同构造方法 ,进而给出及改进的多重尺度函数值快速算法。 In this paper, we study the different methods of the construction of orthogonal multiwavelet biorthogonal multiwavelet and semi orthogonal multiwavelet, and the rapid algorithm of the value of the multscaling function.
出处 《工程数学学报》 CSCD 北大核心 2001年第F12期1-16,共16页 Chinese Journal of Engineering Mathematics
  • 相关文献

参考文献2

二级参考文献14

  • 1Chui C. K., An Introduction to Wavelets, Bostan: Academic Press, 1992. 被引量:1
  • 2Daubechies I., Orthonornal bases of compactly supported wavelets, Comm. Pure and Appl. Math., 1988, 41:909--996. 被引量:1
  • 3Franklin P., A set of continuous orthogonal functions, Math. Ann., 1928, 100: 522-529. 被引量:1
  • 4Meyer Y., Ondelettes sur l'intervalle, Rev. Mat. Iberoamericana, 1991, 7: 115-143. 被引量:1
  • 5Chui C. K., Quak E., Wavelets on a Bounded Interval, In "Numerical Methods of Approximation Theory"(Braess D. and Schumaker L. L. eds.), Basel: Birkhauser-Verlag, 1992, 53-75. 被引量:1
  • 6Micchelli C. A., Xu Y., Using the matrix refinement equation for the construction of wavelets on invariant sets, Appl. Comp. Harmonic Anal., 1994, 1: 391-401. 被引量:1
  • 7Micchelli C. A., Xu Y., Reconstruction and decomposition algorithms for biorthogonal multiwavelets, Multidimensional Systems and Signal Processing, 1997, 8: 31-67. 被引量:1
  • 8Goodman T. N. T., Lee S. L., Wavelets of multiplicity r, Trans. Amer. Math. Soc., 1994, 342: 307-324. 被引量:1
  • 9Chui C. K., Lian J. A., A study of orthonormal multi-wavelets, J. Appl. Numer. Math., 1996, 20: 272-298. 被引量:1
  • 10Chen Z., Micchelli C. A., Xu Y., A construction of interpolating wavelets on invariant sets, Math. Comp.,1999, 68: 1569-1587. 被引量:1

共引文献17

同被引文献171

引证文献30

二级引证文献62

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部