Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …

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 …

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 …

General convolution theorems for two‐dimensional quaternion Fourier transforms (QFTs)
are presented. It is shown that these theorems are valid not only for real‐valued functions …

In this paper we use the general two-sided quaternion Fourier transform (QFT), and relate
the classical convolution of quaternion-valued signals over\mathbb R^ 2 R 2 with the …

The quaternion windowed fractional Fourier transform (QWFRFT) is a generalized form of
the quaternion fractional Fourier transform (QFRFT), it plays a crucial role in signal …

We generalize quaternion and Clifford Fourier transforms to general two-sided Clifford
Fourier transforms (CFT), and study their properties (from linearity to convolution). Two …

The traditional Fourier transform is a fundamental tool in signal and image processing,
which in color imaging transforms images either in monochrome or as separate color …

Nowadays, 3D images processing constitutes a challenging topic in many scientific fields
such as medicine, computational physics, informatics. Therefore, the construction of suitable …

In this paper we investigate how the short-time Fourier transform can be extended in a
Clifford setting. We prove some of the main properties of the Clifford short-time Fourier …