The quaternion Fourier transforms are powerful tools in modern data analysis, in particular
for color image processing. At present, there are mainly three different quaternion Fourier …

This paper proposes a new uncertainty principle for the two-sided quaternion Fourier
transform. This uncertainty principle describes that the spread of a quaternion-valued …

Full article: Uncertainty principle for the two-sided quaternion windowed Fourier transform Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

In this paper, we study the quaternion windowed Fourier transform and prove the Beckner's
uncertainty principle in term of entropy, Lieb uncertainty principle and the Heisenberg …

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 present the two‐dimensional quaternion Wigner‐Ville distribution (QWVD). The
transform is constructed by substituting the Fourier transform kernel with the quaternion …

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 …

In this article, we introduce the notion of two-sided quaternion wave-packet transform which
inherits the advantages of both the quaternion windowed Fourier and wavelet transforms …

This paper addresses quaternionic dual Gabor frames under the condition that the products
of time‐frequency shift parameters are rational numbers. For a general overcomplete …

Due to its potential application in signal analysis and image processing, quaternionic
Fourier analysis has received increasing attention. This paper addresses quaternionic …