期刊文献+

Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix

Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix
下载PDF
导出
摘要 In this paper, we present a method for constructing multivariate tight framelet packets associated with an arbitrary dilation matrix using unitary extension principles. We also prove how to construct various tight frames for L2 (JRa) by replacing some mother framelets. In this paper, we present a method for constructing multivariate tight framelet packets associated with an arbitrary dilation matrix using unitary extension principles. We also prove how to construct various tight frames for L2 (JRa) by replacing some mother framelets.
出处 《Analysis in Theory and Applications》 CSCD 2015年第2期109-122,共14页 分析理论与应用(英文刊)
关键词 WAVELET tight frame framelet packet matrix dilation extension principle Fouriertransform. Wavelet, tight frame, framelet packet, matrix dilation, extension principle, Fouriertransform.
  • 相关文献

参考文献18

  • 1Q. Chen and Z. Chang, A study on compactly supported orthogonal vector-valued wavelets and wavelet packets, Chaos, Soliton. Fract., 31 (2007), 1024-1034.
  • 2C. K. Chui and C. Li, Non-orthogonal wavelet packets, SIAM J. Math. Anal., 24 (1993), 712- 738.
  • 3R. R. Coifman, Y. Meyer, S. Quake and M. V. Wickerhauser, Signal Processing and Compres- sion with Wavelet Packets, Technical Report, Yale University, 1990.
  • 4I. Daubechies, B. Han, A. Ron and Z. Shen, Framelets: MRA-based constructions of wavelet frames, Appl. Comput. Harmon. Anal., 14 (2003), 1-46.
  • 5L. Debnath and F. A. Shah, Wavelet Transforms and Their Applications, Birkhiuser, Boston, 2015.
  • 6B. Dong, H. Ji, J. Li, Z. Shen and Y. Xu, Wavelet frame based blind image inpainting, Appl. Comput. Harmonic Anal., 32 (2012), 268-279.
  • 7B. Han, Compactly supported tight wavelet frames and orthonormal wavelets of exponen- tial decay with a general dilation matrix, J. Comput. Appl. Math., 155 (2003), 43.
  • 8B. Han, Wavelets and framelets within the framework of non-homogeneous wavelet sys- tems, In: Approximation Theory XIII., Neamtu, M., Schumaker, L., Eds.; Springer, 2012., pp. 121-161.
  • 9M. J. Lai and J. St6ckler, Construction of multivariate compactly supported tight wavelet frames, Appl. Comput. Harmonic Anal., 21 (2006), 324-348.
  • 10D. Lu and Q. Fan, A class of tight framelet packets, Czechoslovak Math. J., 61 (2011), 623- 639.

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