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Computation of Compactly Supported Biorthogonal Riesz Basis of Wavelets

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Computational Intelligence in Data Mining - Volume 3

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 33))

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Abstract

In this paper, we compute compactly supported biorthogonal Riesz basis of wavelets. We solve the Bezout equation resulting from biorthogonality of the scaling function with its dual in a simple and algebraic way. We provide some examples of the biorthogonal wavelets showing their detail construction. Two algorithms for their construction are also given.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Sambalpur, 768018, Odisha, India

    Mahendra Kumar Jena

  2. Department of Mathematics, O.P. Jindal Institute of Technology, Raigarh, Chhattisgarh, India

    Manas Ranjan Mishra

Authors
  1. Mahendra Kumar Jena
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  2. Manas Ranjan Mishra
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Corresponding author

Correspondence to Mahendra Kumar Jena .

Editor information

Editors and Affiliations

  1. School of Electrical and Information Engineering, University of South Australia, South Australia, Australia

    Lakhmi C. Jain

  2. Computer Science and Engineering, Veer Surendra Sai University of Technolo, Sambalpur, Odisha, India

    Himansu Sekhar Behera

  3. Computer Science & Engineering, Kalyani University, Nadia, West Bengal, India

    Jyotsna Kumar Mandal

  4. Dept. of Computer Science and Eng., National Institute of Technology Rourkela, Rourkela, India

    Durga Prasad Mohapatra

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Jena, M.K., Mishra, M.R. (2015). Computation of Compactly Supported Biorthogonal Riesz Basis of Wavelets. In: Jain, L., Behera, H., Mandal, J., Mohapatra, D. (eds) Computational Intelligence in Data Mining - Volume 3. Smart Innovation, Systems and Technologies, vol 33. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2202-6_60

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  • DOI: https://doi.org/10.1007/978-81-322-2202-6_60

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2201-9

  • Online ISBN: 978-81-322-2202-6

  • eBook Packages: EngineeringEngineering (R0)

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