Shannon Wavelets Theory
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-09-29
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
Shannon wavelets are studied together with their differential properties (known as connection coefficients).
It is shown that the Shannon sampling theorem can be considered in a more general approach suitable for analyzing functions ranging in multifrequency bands.
This generalization coincides with the Shannon wavelet reconstruction of L2(ℝ) functions.
The differential properties of Shannon wavelets are also studied through the connection coefficients.
It is shown that Shannon wavelets are C∞-functions and their any order derivatives can be analytically defined by some kind of a finite hypergeometric series.
These coefficients make it possible to define the wavelet reconstruction of the derivatives of the Cℓ-functions.
American Psychological Association (APA)
Cattani, Carlo. 2008. Shannon Wavelets Theory. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-24.
https://search.emarefa.net/detail/BIM-451045
Modern Language Association (MLA)
Cattani, Carlo. Shannon Wavelets Theory. Mathematical Problems in Engineering No. 2008 (2008), pp.1-24.
https://search.emarefa.net/detail/BIM-451045
American Medical Association (AMA)
Cattani, Carlo. Shannon Wavelets Theory. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-24.
https://search.emarefa.net/detail/BIM-451045
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451045