An Intertwining of Curvelet and Linear Canonical Transforms
Joint Authors
Tantary, Azhar Y.
Shah, Firdous A.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this article, we introduce a novel curvelet transform by combining the merits of the well-known curvelet and linear canonical transforms.
The motivation towards the endeavour spurts from the fundamental question of whether it is possible to increase the flexibility of the curvelet transform to optimize the concentration of the curvelet spectrum.
By invoking the fundamental relationship between the Fourier and linear canonical transforms, we formulate a novel family of curvelets, which is comparatively flexible and enjoys certain extra degrees of freedom.
The preliminary analysis encompasses the study of fundamental properties including the formulation of reconstruction formula and Rayleigh’s energy theorem.
Subsequently, we develop the Heisenberg-type uncertainty principle for the novel curvelet transform.
Nevertheless, to extend the scope of the present study, we introduce the semidiscrete and discrete analogues of the novel curvelet transform.
Finally, we present an example demonstrating the construction of novel curvelet waveforms in a lucid manner.
American Psychological Association (APA)
Tantary, Azhar Y.& Shah, Firdous A.. 2020. An Intertwining of Curvelet and Linear Canonical Transforms. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1188213
Modern Language Association (MLA)
Tantary, Azhar Y.& Shah, Firdous A.. An Intertwining of Curvelet and Linear Canonical Transforms. Journal of Mathematics No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1188213
American Medical Association (AMA)
Tantary, Azhar Y.& Shah, Firdous A.. An Intertwining of Curvelet and Linear Canonical Transforms. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1188213
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188213