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

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Abstract

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.

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Authors and Affiliations

  1. College of Science, Xi’an University of Architecture and Technology, 710051, Xi’an, China

    Qing-jiang Chen

  2. School of Science, Xi’an Jongtong University, 710049, Xi’an, P. R. China

    Qing-jiang Chen & Zheng-xing Cheng

  3. School of Education, Nanyang College of Technology, 473000, Nanyang, P. R. China

    Jin-shun Feng

Authors
  1. Qing-jiang Chen
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  2. Jin-shun Feng
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  3. Zheng-xing Cheng
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Correspondence to Qing-jiang Chen.

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Chen, Qj., Feng, Js. & Cheng, Zx. The properties of orthogonal matrix-valued wavelet packets in higher dimensions. J. Appl. Math. Comput. 22, 41–53 (2006). https://doi.org/10.1007/BF02832036

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  • DOI: https://doi.org/10.1007/BF02832036

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