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Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform

Author

Listed:
  • Mawardi Bahri

    (Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia)

  • Samsul Ariffin Abdul Karim

    (Software Engineering Programme, Faculty of Computing and Informatics, University Malaysia Sabah, Kota Kinabalu 88400, Malaysia)

Abstract

The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform. In this article, we first present a direct interaction between the linear canonical transform and Fourier transform to obtain the generalization of the uncertainty principles related to the linear canonical transform. We develop these principles for constructing some uncertainty principles concerning the linear canonical wavelet transform.

Suggested Citation

  • Mawardi Bahri & Samsul Ariffin Abdul Karim, 2022. "Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform," Mathematics, MDPI, vol. 10(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3502-:d:925018
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    References listed on IDEAS

    as
    1. Nur Atiqah Binti Zulkifli & Samsul Ariffin Abdul Karim & A’fza Binti Shafie & Muhammad Sarfraz & Abdul Ghaffar & Kottakkaran Sooppy Nisar, 2019. "Image Interpolation Using a Rational Bi-Cubic Ball," Mathematics, MDPI, vol. 7(11), pages 1-18, November.
    2. Fatin Amani Mohd Ali & Samsul Ariffin Abdul Karim & Azizan Saaban & Mohammad Khatim Hasan & Abdul Ghaffar & Kottakkaran Sooppy Nisar & Dumitru Baleanu, 2020. "Construction of Cubic Timmer Triangular Patches and its Application in Scattered Data Interpolation," Mathematics, MDPI, vol. 8(2), pages 1-46, January.
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    Cited by:

    1. Mawardi Bahri & Samsul Ariffin Abdul Karim, 2023. "Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform," Mathematics, MDPI, vol. 11(5), pages 1-15, March.

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    1. Mawardi Bahri & Samsul Ariffin Abdul Karim, 2023. "Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform," Mathematics, MDPI, vol. 11(5), pages 1-15, March.

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