Abstract Machine Learning has recently emerged as a new paradigm for processing all
types of information. In particular, Artificial Intelligence is attractive to corporations & …

There have been numerous proposals in the literature to generalize the classical Fourier
transform by making use of the Hamiltonian quaternion algebra. The present paper reviews …

We review the quaternionic Fourier transform (QFT). Using the properties of the QFT we
establish an uncertainty principle for the right-sided QFT. This uncertainty principle …

The quaternion Fourier transform–a generalized form of the classical Fourier transform–has
been shown to be a powerful analyzing tool in image and signal processing. This paper …

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 …

Quaternion and Clifford Fourier Transforms describes the development of quaternion and
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …

The linear canonical transform (LCT) is a kind of integral transforms with wide applications in
signal analysis. There have been numerous studies in the literature to generalize the LCT by …

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

In this paper, we present a novel integral transform known as the 2-D Hyper-complex
(quaternion) Gabor quadratic-phase Fourier transform (Q-GQPFT), which is embodiment of …