Scholarlink

<p>Wigner-Ville distribution (WVD) in the frame work of quaternion linear canonical transform (QLCT) (WVD-QLCT) is the generalized version of WVD in the quaternion algebra. Recently, some properties and applications in detection of linear frequency modulated (LFM) signals have been studied for the WVD-QLCT. In this paper, we first establish a relationship between WVD-QLCT and QFT and then we derive different uncertainty principles (UPs) which includes the Heisenberg’s UP, logarithmic UP, Hardy’s UP, Donoho Stark’s UP and Beurling’s UP associated with the WVD-QLCT.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Wigner-Ville distribution associated with the quaternion linear canonical transform and their generalized uncertainty principles

  • 期刊论文

  • 发表日期：

    2025年7月23日

查看全文
  • M. Younus Bhat,
  • Shahbaz Rafiq,
  • Aamir H. Dar

摘要

Wigner-Ville distribution (WVD) in the frame work of quaternion linear canonical transform (QLCT) (WVD-QLCT) is the generalized version of WVD in the quaternion algebra. Recently, some properties and applications in detection of linear frequency modulated (LFM) signals have been studied for the WVD-QLCT. In this paper, we first establish a relationship between WVD-QLCT and QFT and then we derive different uncertainty principles (UPs) which includes the Heisenberg’s UP, logarithmic UP, Hardy’s UP, Donoho Stark’s UP and Beurling’s UP associated with the WVD-QLCT.