Scaled Wigner distribution in the offset linear canonical domain
The scaled Wigner distribution is obtained from the classical Wigner distribution by replacing
the instantaneous auto-correlation with fractional instantaneous auto-correlation which is …
the instantaneous auto-correlation with fractional instantaneous auto-correlation which is …
The 2-D Hyper-complex Gabor quadratic-phase Fourier transform and uncertainty principles
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 …
(quaternion) Gabor quadratic-phase Fourier transform (Q-GQPFT), which is embodiment of …
The two‐sided short‐time quaternionic offset linear canonical transform and associated convolution and correlation
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 …
canonical transform (ST‐QOLCT), which is a generalization of the classical short‐time offset …
Generalized wave packet transform based on convolution operator in the quaternion quadratic-phase Fourier domain
The classical quaternion quadratic-phase Fourier transform fails in locating the quaternion
quadratic-phase domain frequency contents that is required in numerous applications. In …
quadratic-phase domain frequency contents that is required in numerous applications. In …
Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles
S Rafiq, MY Bhat - Journal of Pseudo-Differential Operators and …, 2024 - Springer
In an effort to express Clifford-valued signals efficiently in time–frequency domain, we
introduce the notion of the novel integral transform known as Clifford-valued linear canonical …
introduce the notion of the novel integral transform known as Clifford-valued linear canonical …
Towards quaternion quadratic‐phase Fourier transform
M Younus Bhat, A Hamid Dar - Mathematical Methods in the …, 2023 - Wiley Online Library
The quadratic‐phase Fourier transform (QPFT) is a neoteric addition to the class of integral
transforms and embodies a variety of signal processing tools like the Fourier, fractional …
transforms and embodies a variety of signal processing tools like the Fourier, fractional …
Wigner distribution and associated uncertainty principles in the framework of octonion linear canonical transform
The most recent generalization of octonion Fourier transform (OFT) is the octonion linear
canonical transform (OLCT) that has become popular in present era due to its applications in …
canonical transform (OLCT) that has become popular in present era due to its applications in …
Convolution, Correlation and Uncertainty Principle in the One-Dimensional Quaternion Quadratic-Phase Fourier Transform Domain
In this paper, we present a novel integral transform known as the one-dimensional
quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one …
quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one …
Offset quaternion linear canonical transform: Properties, uncertainty inequalities and application
In this present work, we first establish some basic properties of the offset quaternion linear
canonical transform such as shifting and modulation, which are missed in the existing …
canonical transform such as shifting and modulation, which are missed in the existing …