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 study devotes to uncertainty principles under some specific free metaplectic
transformations of complex-valued functions. Two versions of uncertainty inequalities in two …

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 …

In this paper, we generalize the windowed Fourier transform to the windowed linear
canonical transform by substituting the Fourier transform kernel with the linear canonical …

This study devotes to the uncertainty principle under the free metaplectic transformation (an
abbreviation of the metaplectic operator with a free symplectic matrix) of a real function …

The quaternion offset linear canonical transform (QOLCT) which is time-shifted and
frequencymodulated version of the quaternion linear canonical transform (QLCT) provides a …

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 …