Novel fractional wavelet packet transform: theory, implementation, and applications
The fractional wavelet transform (FRWT), which generalizes the classical wavelet transform
and the well-known fractional Fourier transform, has recently been demonstrated as a …
and the well-known fractional Fourier transform, has recently been demonstrated as a …
[PDF][PDF] Explicit construction of tight nonuniform framelet packets on local fields
O Ahmad, NA Sheikh - Oper. Matrices, 2021 - files.ele-math.com
Explicit construction of tight nonuniform framelet packets on local fields Page 1 Operators and
Matrices Volume 15, Number 1 (2021), 131–149 doi:10.7153/oam-2021-15-10 EXPLICIT …
Matrices Volume 15, Number 1 (2021), 131–149 doi:10.7153/oam-2021-15-10 EXPLICIT …
Special affine wavelet transform and the corresponding Poisson summation formula
In the article,“Windowed special affine Fourier transform” in J. Pseudo-Differ. Oper.
Appl.(2020), we introduced the notion of windowed special affine Fourier transform (WSAFT) …
Appl.(2020), we introduced the notion of windowed special affine Fourier transform (WSAFT) …
Fractional multiresolution analysis and associated scaling functions in
In this paper, we show how to construct an orthonormal basis from Riesz basis by assuming
that the fractional translates of a single function in the core subspace of the fractional …
that the fractional translates of a single function in the core subspace of the fractional …
Quadratic-phase wave-packet transform in L 2 (R)
Wavelet transform is a powerful tool for analysing the problems arising in harmonic analysis,
signal and image processing, sampling, filtering, and so on. However, they seem to be …
signal and image processing, sampling, filtering, and so on. However, they seem to be …
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 …
Construction of nonuniform periodic wavelet frames on non-Archimedean fields
O Ahmad - Annales Universitatis Mariae Curie-Sklodowska, sectio …, 2020 - journals.umcs.pl
In real life applications not all signals are obtained by uniform shifts; so there is a natural
question regarding analysis and decompositions of these types of signals by a stable …
question regarding analysis and decompositions of these types of signals by a stable …
A new fractional wave packet transform
D Wei, Y Zhang - Optik, 2021 - Elsevier
The fractional Fourier transform (FRFT) has been shown to be powerful tool for optics and
signal processing. However, it fails in locating the fractional domain frequency contents …
signal processing. However, it fails in locating the fractional domain frequency contents …
Clifford-valued wave-packet transform with applications to benchmark signals
In pursuit of efficient time-frequency representation of Clifford-valued signals, we propose a
novel integral transform coined as the Clifford-valued wave-packet transform. In the first …
novel integral transform coined as the Clifford-valued wave-packet transform. In the first …
Nonuniform multiresolution analysis associated with linear canonical transform
The linear canonical transform (LCT) has attained respectable status within a short span and
is being broadly employed across several disciplines of science and engineering including …
is being broadly employed across several disciplines of science and engineering including …