Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach
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 extensio...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/561434 |
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| author | Zhi-Yong Chen Carlo Cattani Wei-Ping Zhong |
| author_facet | Zhi-Yong Chen Carlo Cattani Wei-Ping Zhong |
| author_sort | Zhi-Yong Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3c37c728760845f686caa739a3af5702 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3c37c728760845f686caa739a3af57022025-02-03T06:05:47ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/561434561434Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series ApproachZhi-Yong Chen0Carlo Cattani1Wei-Ping Zhong2School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, ChinaDepartment of Mathematics, University of Salerno, Via Giovanni Paolo II, Fisciano, 84084 Salerno, ItalySchool of Mechanics & Civil Engineering, China University of Mining & Technology, Xuzhou 221116, ChinaFrom 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.http://dx.doi.org/10.1155/2014/561434 |
| spellingShingle | Zhi-Yong Chen Carlo Cattani Wei-Ping Zhong Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach Advances in Mathematical Physics |
| title | Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach |
| title_full | Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach |
| title_fullStr | Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach |
| title_full_unstemmed | Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach |
| title_short | Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach |
| title_sort | signal processing for nondifferentiable data defined on cantor sets a local fractional fourier series approach |
| url | http://dx.doi.org/10.1155/2014/561434 |
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