Digital Image Encryption Scheme using Chaotic Sequences with a Nonlinear Function

Authors: H. Ogras, M. Turk

Abstract:

In this study, a system of encryption based on chaotic sequences is described. The system is used for encrypting digital image data for the purpose of secure image transmission. An image secure communication scheme based on Logistic map chaotic sequences with a nonlinear function is proposed in this paper. Encryption and decryption keys are obtained by one-dimensional Logistic map that generates secret key for the input of the nonlinear function. Receiver can recover the information using the received signal and identical key sequences through the inverse system technique. The results of computer simulations indicate that the transmitted source image can be correctly and reliably recovered by using proposed scheme even under the noisy channel. The performance of the system will be discussed through evaluating the quality of recovered image with and without channel noise.

Keywords: Digital image, Image encryption, Secure communication

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1071952

References:

[1] M. P. Kennedy, and G. Kolumban, "Digital communications using chaos," Signal processing, vol. 80, no. 7, pp. 1307-1320, July 2000.
[2] Xunzhang, L. Ying, L. Sun, and Z. Li, "Research on new implementation method of chaotic model based on FPGA," ASIC 7th International conference, pp. 241-244, Oct. 2007.
[3] P. Ying, and L. Min, H. "A color image encryption algorithm based generalized chaos synchronization for bidirectional discrete systems for audio signal communication," International Conference on intelligent control and information processing, pp. 443-447, August 2010.
[4] W. Wei, L. Fen-Lin, G. Xinl, and Y. Yebin, "Color image encryption algorithm based on hyper chaos," Information management and engineering, 2010 the 2nd IEEE Int. Conference, pp. 271-274, April 2010.
[5] T. Gao, Q. Gu, Z. Chen, and R. Cheng, "An improved image encryption algorithm based on hyper-chaos," Innovative computing, Information and control 2009 Fourth Int. Conference, pp. 1281-1284, Dec. 2009.
[6] Z. Yun-peng, L. Wei, C. Shui-ping, Z. Zheng-jun, N. Xuan, and D. Weidi, "Digital image encryption algorithm based on chaos and improved DES," Systems, Man and Cybernetics, 2009 IEEE Int. Conference, pp. 474-479, Oct. 2009.
[7] T. Chien, and T. Liao, "Design of secure communication systems using chaotic modulation, cryptography and chaotic synchronization," Chaos, Solitons and Fractals, vol. 24, no. 1, pp. 241-255, 2005.