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The Biorthogonality Quality of the Multivariate Multiwavelet Packages with Multi-scale Factor

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Advances in Computer Science, Environment, Ecoinformatics, and Education (CSEE 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 217))

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Abstract

In this work, a class of multivariate multiwavelet packages with multi-scale are introduced, which are generalizations of multivariant wavelet packages. A method for designing a sort of biorthogonal multiwavelet packages in higher dimensions is presented and their biorthogonality property is characterized by virtue of time-frequency analysis method, matrix theory, and operator theory. Three biorthogonality formulas regarding these wavelet packets are established. Furtherore, it is shown how to obtain new Riesz bases of space L 2(R s, C v) from these wavelet packages.

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References

  1. Telesca, L., et al.: Multiresolution wavelet analysis of earthquakes. Chaos, Solitons & Fractals 22(3), 741–748 (2004)

    Article  MATH  Google Scholar 

  2. Iovane, G., Giordano, P.: Wavelet and multiresolution analysis:Nature of ε  ∞  Cantorian space-time. Chaos, Solitons & Fractals 32(4), 896–910 (2007)

    Article  Google Scholar 

  3. Zhang, N., Wu, X.: Lossless Compression of Color Mosaic Images. IEEE Trans. Image Processing 15(16), 1379–1388 (2006)

    Google Scholar 

  4. Chen, Q., Qu, X.: Characteristics of a class of vector-valued nonseparable higher-dimensional wavelet packet bases. Chaos, Solitons & Fractals 41(4), 1676–1683 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Shen, Z.: Nontensor product wavelet packets in L2(Rs). SIAM Math. Anal. 26(4), 1061–1074 (1995)

    Google Scholar 

  6. Chen, Q., Wei, Z.: The characteristics of orthogonal trivariate wavelet packets. Information Technology Journal 8(8), 1275–1280 (2009)

    Article  MathSciNet  Google Scholar 

  7. Chen, Q., Huo, A.: The research of a class of biorthogonal compactly supported vector-valued wavelets. Chaos, Solitons & Fractals 41(2), 951–961 (2009)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Office of Financial Affairs, Henan Quality Polytechnic, Pingdingshan, 467000, P.R. China

    Yonggan Li

  2. Department of Art Design, Jiyuan Vocational and Technical College, Jiyuan, 454650, China

    Yinlei Tian

Authors
  1. Yonggan Li
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  2. Yinlei Tian
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Editor information

Editors and Affiliations

  1. International Science & Education Researcher Association, Wuhan Branch, No.1, Jiangxia Road, Wuhan, China

    Song Lin  & Xiong Huang  & 

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© 2011 Springer-Verlag Berlin Heidelberg

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Li, Y., Tian, Y. (2011). The Biorthogonality Quality of the Multivariate Multiwavelet Packages with Multi-scale Factor. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23339-5_10

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  • DOI: https://doi.org/10.1007/978-3-642-23339-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23338-8

  • Online ISBN: 978-3-642-23339-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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