Scholarlink

<p>Linear canonical wave packet transform (LCWPT) is a new important time-frequency analysis tool that is combined with linear canonical transform (LCT) and wave packet transform (WPT), which extends the capability of the classical wave packet transform in non-stationary signal processing by introducing the parameter flexibility of the LCT. In this paper, we introduce some properties of the LCWPT, and establish the relationships between LCWPT and a few of other transforms. By applying these relations, several classical uncertainty principles (UPs) of the LCWPT are proposed, which include the local UP, the Donoho-Stark UP and the Lieb UP. Additionally, we are to extend the LCWPT from complex domain to the quaternion one, and present the local UP of the quarternion linear canonical wave packet transform (QLCWPT) through some related derivations.</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

Uncertainty inequalities associated with linear canonical wave packet transforms

  • 期刊论文

  • 发表日期：

    2026年4月7日

查看全文
  • Li’an Yi,
  • Shenzhou Zheng

摘要

Linear canonical wave packet transform (LCWPT) is a new important time-frequency analysis tool that is combined with linear canonical transform (LCT) and wave packet transform (WPT), which extends the capability of the classical wave packet transform in non-stationary signal processing by introducing the parameter flexibility of the LCT. In this paper, we introduce some properties of the LCWPT, and establish the relationships between LCWPT and a few of other transforms. By applying these relations, several classical uncertainty principles (UPs) of the LCWPT are proposed, which include the local UP, the Donoho-Stark UP and the Lieb UP. Additionally, we are to extend the LCWPT from complex domain to the quaternion one, and present the local UP of the quarternion linear canonical wave packet transform (QLCWPT) through some related derivations.