Signal Processing for Nondifferentiable Data Defined on Cantor Sets : A Local Fractional Fourier Series Approach
Joint Authors
Zhong, Wei-Ping
Chen, Zhi-Yong
Cattani, Carlo
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
From the signal processing point of view, the nondifferentiable data defined on the Cantor sets are investigated in this paper.
The local fractional Fourier series is used to process the signals, which are the local fractional continuous functions.
Our results can be observed as significant extensions of the previously known results for the Fourier series in the framework of the local fractional calculus.
Some examples are given to illustrate the efficiency and implementation of the present method.
American Psychological Association (APA)
Chen, Zhi-Yong& Cattani, Carlo& Zhong, Wei-Ping. 2014. Signal Processing for Nondifferentiable Data Defined on Cantor Sets : A Local Fractional Fourier Series Approach. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-480868
Modern Language Association (MLA)
Chen, Zhi-Yong…[et al.]. Signal Processing for Nondifferentiable Data Defined on Cantor Sets : A Local Fractional Fourier Series Approach. Advances in Mathematical Physics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-480868
American Medical Association (AMA)
Chen, Zhi-Yong& Cattani, Carlo& Zhong, Wei-Ping. Signal Processing for Nondifferentiable Data Defined on Cantor Sets : A Local Fractional Fourier Series Approach. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-480868
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480868