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Journal of Electrical and Computer Engineering
Volume 2017, Article ID 8672716, 10 pages
Research Article

Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map

1Department of Information Engineering, Henan Polytechnic, Zhengzhou, China
2Department of Minzu, Huanghe Science and Technology College, Zhengzhou, China
3Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China

Correspondence should be addressed to Shu-ying Wang; moc.621@7070ysw

Received 12 November 2016; Revised 21 January 2017; Accepted 8 February 2017; Published 22 March 2017

Academic Editor: Jucheng Yang

Copyright © 2017 Jian-feng Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.