IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i1p620-625.html
   My bibliography  Save this article

Construction of a class of Daubechies type wavelet bases

Author

Listed:
  • Li, Dengfeng
  • Wu, Guochang

Abstract

Extensive work has been done in the theory and the construction of compactly supported orthonormal wavelet bases of L2(R). Some of the most distinguished work was done by Daubechies, who constructed a whole family of such wavelet bases. In this paper, we construct a class of orthonormal wavelet bases by using the principle of Daubechies, and investigate the length of support and the regularity of these wavelet bases.

Suggested Citation

  • Li, Dengfeng & Wu, Guochang, 2009. "Construction of a class of Daubechies type wavelet bases," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 620-625.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:620-625
    DOI: 10.1016/j.chaos.2009.01.034
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909000356
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.01.034?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. El Naschie, M.S., 2008. "Notes on exceptional lie symmetry groups hierarchy and possible implications for E-Infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 67-70.
    2. Sun, Lei & Cheng, Zhengxing, 2007. "Construction of a class of compactly supported orthogonal vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 253-261.
    3. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    4. El Naschie, M.S., 2006. "Hilbert space, the number of Higgs particles and the quantum two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 9-13.
    5. El Naschie, M.S., 2008. "Yang–Mills instanton via exceptional Lie symmetry groups and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 925-927.
    6. Chen, Qingjiang & Cheng, Zhengxing, 2007. "A study on compactly supported orthogonal vector-valued wavelets and wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 1024-1034.
    7. Iovane, Gerardo & Giordano, Paola, 2007. "Wavelets and multiresolution analysis: Nature of ε(∞) Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 896-910.
    8. El Naschie, M.S., 2008. "P-Adic analysis and the transfinite E8 exceptional Lie symmetry group unification," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 612-614.
    9. El Naschie, M.S., 2007. "SO(10) grand unification in a fuzzy setting," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 958-961.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Zhanwei & Hu, Guoen & Lu, Zhibo, 2009. "Parseval frame scaling sets and MSF Parseval frame wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1966-1974.
    2. Chen, Qingjiang & Huo, Ailian, 2009. "The research of a class of biorthogonal compactly supported vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 951-961.
    3. Liu, Zhanwei & Hu, Guoen & Wu, Guochang & Jiang, Bin, 2008. "Semi-orthogonal frame wavelets and Parseval frame wavelets associated with GMRA," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1449-1456.
    4. Zhu, Xiuge & Wu, Guochang, 2009. "A characteristic description of orthonormal wavelet on subspace LE2(R) of L2(R)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2484-2490.
    5. Yuan, De-you & Du, Shu-de & Cheng, Zheng-xing, 2009. "Design and properties of vector-valued wavelets associated with an orthogonal vector-valued scaling function," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1368-1376.
    6. Chen, Qingjiang & Shi, Zhi, 2008. "Construction and properties of orthogonal matrix-valued wavelets and wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 75-86.
    7. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Construction and characterizations of orthogonal vector-valued multivariate wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1835-1844.
    8. Zhou, Jianfeng & Song, Deyao, 2009. "The properties of a class of biorthogonal vector-valued nonseparable bivariate wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2226-2233.
    9. Wang, Xiao-Feng & Gao, Hongwei & Jinshun, Feng, 2009. "The characterization of vector-valued multivariate wavelet packets associated with a dilation matrix," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1959-1966.
    10. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Construction and decomposition of biorthogonal vector-valued wavelets with compact support," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2765-2778.
    11. Sun, Lei & Zhang, Xiaozhong, 2009. "A note on biorthogonality of the scaling functions with arbitrary matrix dilation factor," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 711-715.
    12. Iovane, Gerardo, 2009. "The set of prime numbers: Multiscale analysis and numeric accelerators," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1953-1965.
    13. Chen, Qing-Jiang & Qu, Xiao-Gang, 2009. "Characteristics of a class of vector-valued non-separable higher-dimensional wavelet packet bases," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1676-1683.
    14. Han, Jincang & Cheng, Zhengxing & Chen, Qingjiang, 2009. "A study of biorthogonal multiple vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1574-1587.
    15. El Naschie, M.S., 2009. "The theory of Cantorian spacetime and high energy particle physics (an informal review)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2635-2646.
    16. El Naschie, M.S., 2008. "Exceptional Lie groups hierarchy and some fundamental high energy physics equations," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 82-84.
    17. Sun, Lei & Cheng, Zhengxing, 2007. "Construction of a class of compactly supported orthogonal vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 253-261.
    18. Chen, Qingjiang & Shi, Zhi, 2008. "Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 323-332.
    19. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Design and characterizations of a class of orthogonal multiple vector-valued wavelets with 4-scale," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 91-102.
    20. Marek-Crnjac, L., 2008. "Exceptional Lie groups hierarchy, orthogonal and unitary groups in connection with symmetries of E-infinity space-time," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 517-520.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:620-625. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.