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A Version of Uncertainty Principle for Quaternion Linear Canonical Transform

Author

Listed:
  • Mawardi Bahri
  • Resnawati
  • Selvy Musdalifah

Abstract

In recent years, the two‐dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the quaternion linear canonical transform (QLCT), we derive a version of the uncertainty principle associated with the QLCT. We also discuss the generalization of the Hausdorff‐Young inequality in the QLCT domain.

Suggested Citation

  • Mawardi Bahri & Resnawati & Selvy Musdalifah, 2018. "A Version of Uncertainty Principle for Quaternion Linear Canonical Transform," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:8732457
    DOI: 10.1155/2018/8732457
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    References listed on IDEAS

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    1. Kit Ian Kou & Jian-Yu Ou & Joao Morais, 2013. "On Uncertainty Principle for Quaternionic Linear Canonical Transform," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, April.
    2. Kit Ian Kou & Jian-Yu Ou & Joao Morais, 2013. "On Uncertainty Principle for Quaternionic Linear Canonical Transform," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. De Bie, H. & De Schepper, N. & Ell, T.A. & Rubrecht, K. & Sangwine, S.J., 2015. "Connecting spatial and frequency domains for the quaternion Fourier transform," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 581-593.
    4. Mawardi Bahri & Ryuichi Ashino, 2016. "A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-11, January.
    5. Mawardi Bahri & Ryuichi Ashino, 2016. "A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
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    Cited by:

    1. Mawardi Bahri & Ryuichi Ashino, 2019. "A Convolution Theorem Related to Quaternion Linear Canonical Transform," Abstract and Applied Analysis, John Wiley & Sons, vol. 2019(1).

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