Journal of Applied Mathematics and Computing

, Volume 22, Issue 3, pp 41–53 | Cite as

The properties of orthogonal matrix-valued wavelet packets in higher dimensions

  • Qing-jiang Chen
  • Jin-shun Feng
  • Zheng-xing Cheng


In the paper matrix-valued multiresolution analysis and matrix-valued wavelet packets of spaceL 2(R n ,C s x s) are introduced. A procedure for constructing a class of matrix-valued wavelet packets in higher dimensions is proposed. The properties for the matrix-valued multivariate wavelet packets are investigated by using integral transform, algebra theory and operator theory. Finally, a new orthonormal basis ofL 2(R n ,C s x s) is derived from the orthogonal multivariate matrix-valued wavelet packets.

AMS Mathematics Subject Classification

42C40 65T60 

Key words and phrases

Refinement equation matrix-valued multiresolution analysis matrix-valued scaling functions multivariate matrix-valued wavelet packets 


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Copyright information

© Korean Society for Computational & Applied Mathematics and Korean SIGCAM 2006

Authors and Affiliations

  • Qing-jiang Chen
    • 1
    • 2
  • Jin-shun Feng
    • 3
  • Zheng-xing Cheng
    • 2
  1. 1.College of ScienceXi’an University of Architecture and TechnologyXi’anChina
  2. 2.School of ScienceXi’an Jongtong UniversityXi’anP. R. China
  3. 3.School of EducationNanyang College of TechnologyNanyangP. R. China

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