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<p>This paper establishes an extended version of Heisenberg’s uncertainty principle for the Symplectic Wigner distribution via linear canonical transform (SWL), which generalizes existing Symplectic Wigner distributions. Furthermore, the properties of SWL are enumerated, and a comprehensive analysis of its Heisenberg uncertainty relation and special cases is fully elucidated. Finally, a numerical example is presented to demonstrate the efficacy of this novel distribution in detecting single-component linear frequency modulated (LFM) signals.</p>

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An extended version of Heisenberg’s uncertainty principle for the Symplectic Wigner distribution via linear canonical transform

  • 期刊论文

  • 发表日期：

    2025年11月14日

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  • Lai Tien Minh

摘要

This paper establishes an extended version of Heisenberg’s uncertainty principle for the Symplectic Wigner distribution via linear canonical transform (SWL), which generalizes existing Symplectic Wigner distributions. Furthermore, the properties of SWL are enumerated, and a comprehensive analysis of its Heisenberg uncertainty relation and special cases is fully elucidated. Finally, a numerical example is presented to demonstrate the efficacy of this novel distribution in detecting single-component linear frequency modulated (LFM) signals.