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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
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    References listed on IDEAS

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    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.
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