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Works cited by this work

27 works

Work: Generalized Sampling Expansion for the Quaternion Linear Canonical Transform

  1. Hypercomplex Fourier Transforms of Color Images

    Todd A. Ell, Stephen J. Sangwine

    Article20066 citations
    ABI

  2. Quaternionic one-dimensional linear canonical transform

    Siddiqui Saima, Bing‐Zhao Li

    Article20216 citations
    ABI

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

    Siddiqui Saima, Bing‐Zhao Li, Samad Muhammad Adnan

    Article20226 citations
    ABI

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

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

    Article20155 citations
    ABI

  5. Fractional quaternion Fourier transform, convolution and correlation

    Guanlei Xu, Xiaotong Wang, Xiaogang Xu

    Article20085 citations
    ABI

  6. Quaternionic one-dimensional fractional Fourier transform

    R. Roopkumar

    Article20165 citations
    ABI

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

    Abdul J. Jerri

    Review article19775 citations
    ABI

  8. Lens-System Diffraction Integral Written in Terms of Matrix Optics*

    Stuart A. Collins

    Article19704 citations
    ABI

  9. Linear Canonical Transformations and Their Unitary Representations

    M. Moshinsky, C. Quesne

    Article19714 citations
    ABI

  10. A new kind of convolution, correlation and product theorems related to quaternion linear canonical transform

    Zhenwei Li, Wen‐Biao Gao, Bing‐Zhao Li

    Article20204 citations
    ABI

  11. Quaternions for Computer Graphics

    John Vince

    Book20114 citations
    ABI

  12. Quaternion Fourier Transform on Quaternion Fields and Generalizations

    Eckhard Hitzer

    Article20073 citations
    ABI

  13. Convolution Theorems for Quaternion Fourier Transform: Properties and Applications

    Mawardi Bahri, Ryuichi Ashino, Rémi Vaillancourt

    Article20133 citations
    ABI

  14. Paley-Wiener and Boas Theorems for the Quaternion Fourier Transform

    Yingxiong Fu, Luoqing Li

    Article20133 citations
    ABI

  15. Quaternion Fourier Descriptors for the Preprocessing and Recognition of Spoken Words Using Images of Spatiotemporal Representations

    Eduardo Bayro–Corrochano, Noel Trujillo, Michel Naranjo

    Article20073 citations
    ABI

  16. An uncertainty principle for quaternion Fourier transform

    Mawardi Bahri, Eckhard Hitzer, A. Hayashi +1

    Article20083 citations
    ABI

  17. Introducing quaternion multi-valued neural networks with numerical examples

    Aaron Greenblatt, Sos С. Agaian

    Article20173 citations
    ABI

  18. Untitled

    Other3 citations
    ABI

  19. Quaternion linear canonical<i>S</i>-transform and associated uncertainty principles

    M. Younus Bhat, Aamir H. Dar

    Article20223 citations
    ABI

  20. Quaternion Attitude Control System of Highly Maneuverable Aircraft

    Michał Gołąbek, Michał Welcer, Cezary Szczepański +3

    Article20223 citations
    ABI

  21. Review of Quaternion-Based Color Image Processing Methods

    Chaoyan Huang, Juncheng Li, Guangwei Gao

    Article20233 citations
    ABI

  22. Multichannel sampling expansion in the linear canonical transform domain and its application to superresolution

    Deyun Wei, Qiwen Ran, Yuanmin Li

    Article20112 citations
    ABI

  23. Generalized Sampling Expansion for Functions on the Sphere

    Ilan Ben Hagai, Filippo Maria Fazi, Boaz Rafaely

    Article20122 citations
    ABI

  24. Generalized Sampling Expansions with Multiple Sampling Rates for Lowpass and Bandpass Signals in the Fractional Fourier Transform Domain

    Deyun Wei, Yuanmin Li

    Article20162 citations
    ABI

  25. Sampling and multiplicative filtering associated with the quadratic-phase Fourier transform

    Firdous A. Shah, Azhar Y. Tantary

    Article20222 citations
    ABI