Browsing by Author "Xia, Yuanqing"

Now showing items 1-3 of 3

    • Quaternion Fractional Fourier Transform: Bridging Signal Processing and Probability Theory 

      Samad, Muhammad Adnan; Xia, Yuanqing; Siddiqui, Saima; Bhat, Muhammad Younus; Urynbassarova, Didar; Urynbassarova, Altyn (Mathematics, 2025)
      The one-dimensional quaternion fractional Fourier transform (1DQFRFT) introduces a fractional-order parameter that extends traditional Fourier transform techniques, providing new insights into the analysis of quaternion-valued signals. This paper presents a rigorous theoretical foundation for the 1DQFRFT, examining essential properties such as linearity, the Plancherel theorem, ...
      2026-03-12

    • Quaternion Fractional Fourier Transform: Bridging Signal Processing and Probability Theory 

      Samad, Muhammad Adnan; Xia, Yuanqing; Siddiqui, Saima; Bhat, Muhammad Younus; Urynbassarova, Didar; Urynbassarova, Altyn (Mathematics, 2025)
      The one-dimensional quaternion fractional Fourier transform (1DQFRFT) introduces a fractional-order parameter that extends traditional Fourier transform techniques, providing new insights into the analysis of quaternion-valued signals. This paper presents a rigorous theoretical foundation for the 1DQFRFT, examining essential properties such as linearity, the Plancherel theorem, ...
      2026-03-26

    • Quaternion Fractional Fourier Transform: Bridging Signal Processing and Probability Theory 

      Samad, Muhammad Adnan; Xia, Yuanqing; Siddiqui, Saima; Bhat, Muhammad Younus; Urynbassarova, Didar; Urynbassarova, Altyn (Mathematics, 2025)
      The one-dimensional quaternion fractional Fourier transform (1DQFRFT) introduces a fractional-order parameter that extends traditional Fourier transform techniques, providing new insights into the analysis of quaternion-valued signals. This paper presents a rigorous theoretical foundation for the 1DQFRFT, examining essential properties such as linearity, the Plancherel theorem, ...
      2026-03-25