Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion
signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a …

In recent years, the two‐dimensional (2D) quaternion Fourier and quaternion linear
canonical transforms have been the focus of many research papers. In the present paper …

Recently a generalization of the quaternion Fourier transform over quaternion domains so-
called the quaternion domain Fourier transform (QDFT) has been introduced, including its …

A definition of the two‐dimensional quaternion linear canonical transform (QLCT) is
proposed. The transform is constructed by substituting the Fourier transform kernel with the …

CORRELATION FORMULATION USING RELATIONSHIP BETWEEN CONVOLUTION AND
CORRELATION IN LINEAR CANONICAL TRANSFORM DOMAIN Page 1 CORRELATION …

The polynomial Fourier transform (PFT) is a useful mathematical tool for many areas,
including applied mathematics, engineering and signal processing. Some properties and …

The quaternion linear canonical transforms (QLCT) is a nontrivial generalization of the linear
canonical transform (LCT) using quaternion algebra. Due to the noncommutative property of …

As may be expected the modification of the QFT to a localized QWT only formed the
beginning of a rich field of novel quaternionic integral transforms, that often are motivated by …

An alternative proof of scalar Parseval's formula with respect to the two-sided quaternion
Fourier transform is presented. It is shown that the inverse of the two-sided quaternion …

In the present article, we first introduce the definition of the discrete double-sided
quaternionic Fourier transform (DQFT) and obtain its inverse. We give examples how to …