Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map
This paper presents a three-dimensional autonomous chaotic system with high fraction dimension. It is noted that the nonlinear characteristic of the improper fractional-order chaos is interesting. Based on the continuous chaos and the discrete wavelet function map, an image encryption algorithm is p...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Electrical and Computer Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/8672716 |
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| _version_ | 1832560923157463040 |
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| author | Jian-feng Zhao Shu-ying Wang Li-tao Zhang Xiao-yan Wang |
| author_facet | Jian-feng Zhao Shu-ying Wang Li-tao Zhang Xiao-yan Wang |
| author_sort | Jian-feng Zhao |
| collection | DOAJ |
| description | This paper presents a three-dimensional autonomous chaotic system with high fraction dimension. It is noted that the nonlinear characteristic of the improper fractional-order chaos is interesting. Based on the continuous chaos and the discrete wavelet function map, an image encryption algorithm is put forward. The key space is formed by the initial state variables, parameters, and orders of the system. Every pixel value is included in secret key, so as to improve antiattack capability of the algorithm. The obtained simulation results and extensive security analyses demonstrate the high level of security of the algorithm and show its robustness against various types of attacks. |
| format | Article |
| id | doaj-art-10632583bb0a446e80c8f320616ce05d |
| institution | Kabale University |
| issn | 2090-0147 2090-0155 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Electrical and Computer Engineering |
| spelling | doaj-art-10632583bb0a446e80c8f320616ce05d2025-02-03T01:26:23ZengWileyJournal of Electrical and Computer Engineering2090-01472090-01552017-01-01201710.1155/2017/86727168672716Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function MapJian-feng Zhao0Shu-ying Wang1Li-tao Zhang2Xiao-yan Wang3Department of Information Engineering, Henan Polytechnic, Zhengzhou, ChinaDepartment of Minzu, Huanghe Science and Technology College, Zhengzhou, ChinaDepartment of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, ChinaDepartment of Information Engineering, Henan Polytechnic, Zhengzhou, ChinaThis paper presents a three-dimensional autonomous chaotic system with high fraction dimension. It is noted that the nonlinear characteristic of the improper fractional-order chaos is interesting. Based on the continuous chaos and the discrete wavelet function map, an image encryption algorithm is put forward. The key space is formed by the initial state variables, parameters, and orders of the system. Every pixel value is included in secret key, so as to improve antiattack capability of the algorithm. The obtained simulation results and extensive security analyses demonstrate the high level of security of the algorithm and show its robustness against various types of attacks.http://dx.doi.org/10.1155/2017/8672716 |
| spellingShingle | Jian-feng Zhao Shu-ying Wang Li-tao Zhang Xiao-yan Wang Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map Journal of Electrical and Computer Engineering |
| title | Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map |
| title_full | Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map |
| title_fullStr | Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map |
| title_full_unstemmed | Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map |
| title_short | Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map |
| title_sort | image encryption algorithm based on a novel improper fractional order attractor and a wavelet function map |
| url | http://dx.doi.org/10.1155/2017/8672716 |
| work_keys_str_mv | AT jianfengzhao imageencryptionalgorithmbasedonanovelimproperfractionalorderattractorandawaveletfunctionmap AT shuyingwang imageencryptionalgorithmbasedonanovelimproperfractionalorderattractorandawaveletfunctionmap AT litaozhang imageencryptionalgorithmbasedonanovelimproperfractionalorderattractorandawaveletfunctionmap AT xiaoyanwang imageencryptionalgorithmbasedonanovelimproperfractionalorderattractorandawaveletfunctionmap |