“A teacher can never truly teach unless he is still learning himself. A lamp can never light
another lamp unless it continues to burn its own flame. The teacher who has come to the …

We generalize the linear canonical transform (LCT) to quaternion‐valued signals, known as
the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we …

This work is devoted to the development of the octonion linear canonical transform (OLCT)
theory proposed by Gao and Li in 2021 that has been designated as an emerging tool in the …

The Gabor quaternionic offset linear canonical transform (GQOLCT) is defined as a
generalization of the quaternionic offset linear canonical transform (QOLCT). In this paper …

In this paper, we propose a novel integral transform by combining the generalized Wigner–
Ville distribution (WDL) with the linear canonical transform (LCT). The new integral transform …

Linear canonical transforms (LCTs) are a family of integral transforms with wide application
in optical, acoustical, electromagnetic, and other wave propagation problems. The Fourier …

We investigate the 2D quaternion windowed linear canonical transform (QWLCT) in this
paper. Firstly, we propose the new definition of the QWLCT, and then several important …

Based on the relationship between the Fourier transform (FT) and linear canonical transform
(LCT), a logarithmic uncertainty principle and Hausdorff–Young inequality in the LCT …

The short-time linear canonical transform (STLCT) is a novel time-frequency analysis tool. In
this paper, we generalize some different uncertainty principles for the STLCT of complex …

In this paper, we investigate the (two-sided) quaternion windowed linear canonical transform
(QWLCT) and study the uncertainty principles associated with the QWLCT. First, several …