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Works cited by this work

28 works

Work: Generalized Sampling Theory in the Quaternion Domain: A Fractional Fourier Approach

  1. One dimensional quaternion linear canonical transform in probability theory

    Saima Siddiqui, Muhammad Adnan Samad, Fayzullayev Djamshid Ismoiljonovich

    ArticleMathematical Analysis and Transform MethodsSignal Image and Video Processing20246 citations
    ABI

  2. Hypercomplex Fourier Transforms of Color Images

    Todd A. Ell, Stephen J. Sangwine

    Article20066 citations
    ABI

  3. Quaternionic one-dimensional linear canonical transform

    Siddiqui Saima, Bing‐Zhao Li

    Article20216 citations
    ABI

  4. New Sampling Expansion Related to Derivatives in Quaternion Fourier Transform Domain

    Siddiqui Saima, Bing‐Zhao Li, Samad Muhammad Adnan

    Article20226 citations
    ABI

  5. Connecting spatial and frequency domains for the quaternion Fourier transform

    Hendrik De Bie, Nele De Schepper, Todd A. Ell +2

    Article20155 citations
    ABI

  6. Fractional quaternion Fourier transform, convolution and correlation

    Guanlei Xu, Xiaotong Wang, Xiaogang Xu

    Article20085 citations
    ABI

  7. Quaternionic one-dimensional fractional Fourier transform

    R. Roopkumar

    Article20165 citations
    ABI

  8. The Shannon sampling theorem—Its various extensions and applications: A tutorial review

    Abdul J. Jerri

    Review article19775 citations
    ABI

  9. Generalized sampling expansion for the quaternion linear canonical transform

    Saima Siddiqui, Bing‐Zhao Li, Muhammad Adnan Samad

    ArticleMathematical Analysis and Transform MethodsSignal Image and Video Processing20244 citations
    ABI

  10. The fractional fourier transform

    Haldun M. Özaktaş, M. Alper Kutay

    Article20013 citations
    ABI

  11. Different forms of Plancherel theorem for fractional quaternion Fourier transform

    Deyun Wei, Yuanmin Li

    Article20133 citations
    ABI

  12. Generalized sampling expansions associated with quaternion Fourier transform

    Dong Cheng, Kit Ian Kou

    Article20172 citations
    ABI

  13. Untitled

    Other2 citations
    ABI

  14. A convolution and product theorem for the fractional Fourier transform

    Ahmed I. Zayed

    Article19982 citations
    ABI

  15. Fractional Fourier transform in the framework of fractional calculus operators

    Anatoly A. Kilbas, Yu. F. Luchko, Héctor J. Martínez +1

    Article20102 citations
    ABI

  16. The fractional Fourier transform and time-frequency representations

    Luı́s B. Almeida

    Article19942 citations
    ABI

  17. Fractional Fourier transform as a signal processing tool: An overview of recent developments

    Ervin Sejdić, Igor Djurović, Ljubiša Stanković

    Article20102 citations
    ABI

  18. On Namias's Fractional Fourier Transforms

    Adam C. McBride, Fiona H. Kerr

    Article19872 citations
    ABI

  19. The Fractional Order Fourier Transform and its Application to Quantum Mechanics

    Victor Namias

    Article19802 citations
    ABI

  20. Fractional Fourier Transform, Wigner Distribution, and Filter Design for Stationary and Nonstationary Random Processes

    Soo‐Chang Pei, Jian–Jiun Ding

    Article20102 citations
    ABI

  21. Untitled

    Other1 citations
    ABI

  22. Untitled

    Other1 citations
    ABI

  23. Untitled

    Other1 citations
    ABI

  24. Untitled

    Other1 citations
    ABI

  25. Untitled

    Other1 citations
    ABI