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<p>This paper is mainly devoted to some uncertainty principles (UPs) for the right-sided and two-sided quaternion windowed Fourier transform (QWFT). The Donoho-Stark UP is proposed for the right-sided QWFT, while the Rényi entropy UP and the Hardy UP for the two-sided QWFT are established. Furthermore, the Rényi entropy UP and the Hardy UP for the two-sided radar quaternion ambiguity function (QAF) and the quaternion Wigner-Ville transform (QWVT) are also derived, respectively.</p>

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Novel Uncertainty Principles Associated with the Quaternion Windowed Fourier Transform

  • 期刊论文

  • 发表日期：

    2025年7月25日

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  • Shibo Diao,
  • Cen Li,
  • Shenzhou Zheng

摘要

This paper is mainly devoted to some uncertainty principles (UPs) for the right-sided and two-sided quaternion windowed Fourier transform (QWFT). The Donoho-Stark UP is proposed for the right-sided QWFT, while the Rényi entropy UP and the Hardy UP for the two-sided QWFT are established. Furthermore, the Rényi entropy UP and the Hardy UP for the two-sided radar quaternion ambiguity function (QAF) and the quaternion Wigner-Ville transform (QWVT) are also derived, respectively.