Quadratic Phase Multiresolution Analysis and the Construction of Orthonormal Wavelets in L2(ℝ)
The multi-resolution analysis (MRA) associated with quadratic phase Fourier transform
(QPFT) serves as a tool to construct orthogonal bases of the L 2 (R). Consequently, it …
(QPFT) serves as a tool to construct orthogonal bases of the L 2 (R). Consequently, it …
Fractional nonuniform multiresolution analysis in
HM Srivastava, FA Shah… - Mathematical Methods in …, 2021 - Wiley Online Library
To provide a significantly richer representation of non‐stationary signals appearing in
various disciplines of science and engineering, we introduce a novel fractional nonuniform …
various disciplines of science and engineering, we introduce a novel fractional nonuniform …
Quaternionic linear canonical wave packet transform
YA Bhat, NA Sheikh - Advances in Applied Clifford Algebras, 2022 - Springer
In this article, we introduce the notion of linear canonical wave packet transform in
quaternionic settings and we name it the quaternionic linear canonical wave packet …
quaternionic settings and we name it the quaternionic linear canonical wave packet …
A mathematical survey on Fourier type integral transform and their offshoots: windowed Fourier transform, wavelet transform and Stockwell transform
This comprehensive review paper delves into the intricacies of advanced Fourier type
integral transforms and their mathematical properties, with a particular focus on fractional …
integral transforms and their mathematical properties, with a particular focus on fractional …
Novel quaternionic fractional wavelet transform
TA Sheikh, NA Sheikh - International Journal of Applied and …, 2022 - Springer
In this paper, we introduce the notion of a novel quaternionic fractional wavelet transform
(FRWT). Firstly, we establish the inversion formula and Parseval theorem for the new …
(FRWT). Firstly, we establish the inversion formula and Parseval theorem for the new …
Linear canonical Stockwell transform and the associated multiresolution analysis
In this article, we propose a new class of transform called linear canonical Stockwell
transform (LCST) and obtain its basic properties along with the inner product relation and …
transform (LCST) and obtain its basic properties along with the inner product relation and …
Quaternion Linear Canonical Curvelet Transform.
AA Khan - Palestine Journal of Mathematics, 2023 - search.ebscohost.com
In this paper, we generalize linear canonical curvelet transform to quaternion-valued
signals, known as quaternion linear canonical curvelet transform (QLCCT). Firstly, we …
signals, known as quaternion linear canonical curvelet transform (QLCCT). Firstly, we …
Generalization of Fourier Transformation of Scaling Function using Riesz basis on L2 (K)
Various applications of multi resolution analysis has been proved in analysis of coding, time
frequency etc. One of its important role has been pointed out in the area of applied …
frequency etc. One of its important role has been pointed out in the area of applied …
Construction of fractional framelets in L2 (R)
Framelets generalize orthogonal wavelets by adding the desired properties of redundancy
in their systems and flexibility in their construction. These extra features greatly improve their …
in their systems and flexibility in their construction. These extra features greatly improve their …
Short time quadratic-phase quaternionic Fourier transform and associated uncertainty principle
TA Sheikh, NA Sheikh - São Paulo Journal of Mathematical Sciences, 2023 - Springer
In this work, we introduce quadratic-phase quaternionic Fourier transform (QFT) and short
time quadratic phase QFT. Quadratic phase QFT lead us to Plancherel theorem and …
time quadratic phase QFT. Quadratic phase QFT lead us to Plancherel theorem and …