IDEAS home Printed from https://ideas.repec.org/a/spr/indpam/v45y2014i4d10.1007_s13226-014-0080-9.html
   My bibliography  Save this article

Construction of vector valued wavelet packets on ℝ+ using Walsh-Fourier transform

Author

Listed:
  • P. Manchanda

    (Guru Nanak Dev University)

  • Vikram Sharma

    (Guru Nanak Dev University)

Abstract

In this paper, the concept of vector-valued wavelet packets in space L 2(ℝ+, ℂ N ) is introduced. Some properties of vector-valued wavelets packets are studied and orthogonality formulas of these wavelets packets are obtained. New orthonormal basis of L 2(ℝ+, ℂ N ) is obtained by constructing a series of subspaces of vector-valued wavelet packets.

Suggested Citation

  • P. Manchanda & Vikram Sharma, 2014. "Construction of vector valued wavelet packets on ℝ+ using Walsh-Fourier transform," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(4), pages 539-553, August.
    • Handle: RePEc:spr:indpam:v:45:y:2014:i:4:d:10.1007_s13226-014-0080-9
    DOI: 10.1007/s13226-014-0080-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13226-014-0080-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13226-014-0080-9?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. 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.
    2. 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.
    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. 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.
    2. Li, Dengfeng & Wu, Guochang, 2009. "Construction of a class of Daubechies type wavelet bases," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 620-625.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Wu, Guochang & Li, Zhiqiang & Cheng, Zhengxing, 2009. "Construction of wavelets with composite dilations," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2447-2456.
    12. 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.
    13. 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.
    14. Chen, Qingjiang & Zhao, Yanhui & Gao, Hongwei, 2009. "Existence and characterization of orthogonal multiple vector-valued wavelets with three-scale," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2484-2493.

    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:spr:indpam:v:45:y:2014:i:4:d:10.1007_s13226-014-0080-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.