3 papers
math.GM2025
The 2p order Heisenberg-Pauli-Weyl uncertainty principles related to the offset linear canonical transform
Jia-Yin Peng, Bing-Zhao Li
The uncertainty principle is one of the fundamental tools for time-frequency analysis in signal processing, revealing the intrinsic trade-off between time and frequency resolutions…
math.GM2024
Clifford-valued linear canonical Stockwell transform
Yi-Qiao Xu, Bing-Zhao Li
We present a new Clifford-valued linear canonical Stockwell transform aimed at providing efficient and focused representation of Clifford-valued functions in high-dimensional time-…
math.GM2024
Linear Canonical Jacobi-Dunkl Transform: Theory and Applications
Rong-Qian Linghua, Bing-Zhao Li
This paper aims to develop an innovative method for harmonic analysis by introducing the linear canonical Jacobi-Dunkl transform (LCJDT), which integrates both the Jacobi-Dunkl tra…