Construction of Parseval framelets associated with GMRA on local fields of positive characteristic
In this article, we establish theory of Parseval framelets associated to generalized
multiresolution analysis (GMRA) in the setting of reducing subspace for the local field of …
multiresolution analysis (GMRA) in the setting of reducing subspace for the local field of …
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 time–frequency representation based on the tight framelet packet for telephone-band speech coding
S Bousselmi, K Ouni - Speech Communication, 2023 - Elsevier
To improve the quality and intelligibility of telephone-band speech coding, a new time–
frequency representation based on a tight framelet packet transform is proposed in this …
frequency representation based on a tight framelet packet transform is proposed in this …
[PDF][PDF] Non homogeneous dual wavelet frames and oblique extension principles in Hs (K)
O Ahmad - Filomat, 2023 - doiserbia.nb.rs
In this paper, we introduce the notion of nonhomogeneous dual wavelet frames in Sobolev
spaces over local fields. We provide the complete characterization of nonhomogeneous …
spaces over local fields. We provide the complete characterization of nonhomogeneous …
On generalized inequalities for nonuniform wavelet frames in
O Ahmad, NA Sheikh, AA Hazari - Afrika Matematika, 2022 - Springer
Wavelet frames are different from the orthonormal wavelets because of redundancy. By
sacrificing orthonormality and allowing redundancy, wavelet frames become much easier to …
sacrificing orthonormality and allowing redundancy, wavelet frames become much easier to …
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 …
Nonuniform Semi-orthogonal Wavelet Frames on Non-Archimedean Local Fields of Positive Characteristic
Nonuniform Semi-orthogonal Wavelet Frames on Non-Archimedean Local Fields of Positive
Characteristic Page 1 Iranian Journal of Mathematical Sciences and Informatics Vol. 19, No. 2 …
Characteristic Page 1 Iranian Journal of Mathematical Sciences and Informatics Vol. 19, No. 2 …
Generalized Multiresolution Structures in Reducing Subspaces of Local Fields
O Ahmad, NA Sheikh - Acta Mathematica Sinica, English Series, 2022 - Springer
In this article, we introduce the notion of general multiresolution structure (GMS) in the
reducing subspace over local fields. We show that the GMS is admitted by an arbitrary …
reducing subspace over local fields. We show that the GMS is admitted by an arbitrary …
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 …
[PDF][PDF] Nonuniform nonstationary wavelets and associated multiresolution analysis on local fields
O Ahmad, NA Sheikh - Novi Sad Journal of Mathematics, 2022 - sites.dmi.uns.ac.rs
First online - January 11, 2022. Draft version - January 12, 2022 Page 1 First online - January
11, 2022. Draft version - January 12, 2022 Novi Sad J. Math. Vol. XX, No. Y, 20ZZ …
11, 2022. Draft version - January 12, 2022 Novi Sad J. Math. Vol. XX, No. Y, 20ZZ …