Local Fractional Z-Transforms with Applications to Signals on Cantor Sets
The Z-transform has played an important role in signal processing. In this paper the Z-transform has been generalized by the coupling of both the Z-transform and the local fractional complex calculus. In the literature the local fractional Z-transform is applied to analyze signals, in the following...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/638648 |
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| _version_ | 1832556121647218688 |
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| author | Kai Liu Ren-Jie Hu Carlo Cattani Gong-Nan Xie Xiao-Jun Yang Yang Zhao |
| author_facet | Kai Liu Ren-Jie Hu Carlo Cattani Gong-Nan Xie Xiao-Jun Yang Yang Zhao |
| author_sort | Kai Liu |
| collection | DOAJ |
| description | The Z-transform has played an important role in signal processing. In this paper the Z-transform has been generalized by the coupling of both the Z-transform and the local fractional complex calculus. In the literature the local fractional Z-transform is applied to analyze signals, in the following it will be used to analyze signals on Cantor sets. Some examples are also given to show the efficiency and accuracy for handling the signals on Cantor sets. |
| format | Article |
| id | doaj-art-b35c3a288af8408aaa0faf4f95e0ef6c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b35c3a288af8408aaa0faf4f95e0ef6c2025-02-03T05:46:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/638648638648Local Fractional Z-Transforms with Applications to Signals on Cantor SetsKai Liu0Ren-Jie Hu1Carlo Cattani2Gong-Nan Xie3Xiao-Jun Yang4Yang Zhao5School of Electrical Engineering, Southeast University, Nanjing 210096, ChinaSchool of Electrical Engineering, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, ItalySchool of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, ChinaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaDepartment of Electronic and Information Technology, Jiangmen Polytechnic, Jiangmen 529090, ChinaThe Z-transform has played an important role in signal processing. In this paper the Z-transform has been generalized by the coupling of both the Z-transform and the local fractional complex calculus. In the literature the local fractional Z-transform is applied to analyze signals, in the following it will be used to analyze signals on Cantor sets. Some examples are also given to show the efficiency and accuracy for handling the signals on Cantor sets.http://dx.doi.org/10.1155/2014/638648 |
| spellingShingle | Kai Liu Ren-Jie Hu Carlo Cattani Gong-Nan Xie Xiao-Jun Yang Yang Zhao Local Fractional Z-Transforms with Applications to Signals on Cantor Sets Abstract and Applied Analysis |
| title | Local Fractional Z-Transforms with Applications to Signals on Cantor Sets |
| title_full | Local Fractional Z-Transforms with Applications to Signals on Cantor Sets |
| title_fullStr | Local Fractional Z-Transforms with Applications to Signals on Cantor Sets |
| title_full_unstemmed | Local Fractional Z-Transforms with Applications to Signals on Cantor Sets |
| title_short | Local Fractional Z-Transforms with Applications to Signals on Cantor Sets |
| title_sort | local fractional z transforms with applications to signals on cantor sets |
| url | http://dx.doi.org/10.1155/2014/638648 |
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