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 scaled Wigner distribution is obtained from the classical Wigner distribution by replacing
the instantaneous auto-correlation with fractional instantaneous auto-correlation which is …

In this article, a new version of ambiguity function (AF) and Wigner distribution (WD) based
on the linear canonical transform (LCT) and the fractional instantaneous auto-correlation are …

Bearings are critical components of motors. However, they can cause several issues. Proper
and timely detection of faults in the bearings can play a decisive role in reducing damage to …

In this paper, we propose the novel integral transform coined as the quadratic-phase scaled
Wigner distribution (QSWD) by extending the Wigner distribution associated with quadratic …

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

In this paper, we introduce the two‐dimensional short‐time quaternion offset linear
canonical transform (ST‐QOLCT), which is a generalization of the classical short‐time offset …

Novel types of convolution operators for quaternion linear canonical transform (QLCT) are
proposed. Type one and two are defined in the spatial and QLCT spectral domains …

Wigner–Ville distribution (WVD) associated with the quaternion offset linear canonical
transform (QOLCT)(WVD–QOLCT) is the known furthest generalization of the WVD in …

Two-dimensional hyper-complex (Quaternion) quadratic-phase Fourier transforms (Q-QPFT)
have gained much popularity in recent years because of their applications in many areas …