中国物理B ›› 2023, Vol. 32 ›› Issue (11): 114203-114203.doi: 10.1088/1674-1056/acef08

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Optical image encryption algorithm based on a new four-dimensional memristive hyperchaotic system and compressed sensing

Yang Du(都洋)1, Guoqiang Long(隆国强)2, Donghua Jiang(蒋东华)3, Xiuli Chai(柴秀丽)2,†, and Junhe Han(韩俊鹤)1,‡   

  1. 1 Center for Physics of Low-Dimensional Materials, Henan Joint International Research Laboratory of New Energy Materials and Devices, School of Physics and Electronics, Henan University, Kaifeng 475004, China;
    2 School of Artificial Intelligence, Henan Engineering Research Center for Industrial Internet of Things, Henan University, Zhengzhou 450046, China;
    3 School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
  • 收稿日期:2023-05-30 修回日期:2023-07-13 接受日期:2023-08-11 出版日期:2023-10-16 发布日期:2023-10-24
  • 通讯作者: Xiuli Chai, Junhe Han E-mail:chaixiuli@henu.edu.cn;junhh@henu.edu.cn

Optical image encryption algorithm based on a new four-dimensional memristive hyperchaotic system and compressed sensing

Yang Du(都洋)1, Guoqiang Long(隆国强)2, Donghua Jiang(蒋东华)3, Xiuli Chai(柴秀丽)2,†, and Junhe Han(韩俊鹤)1,‡   

  1. 1 Center for Physics of Low-Dimensional Materials, Henan Joint International Research Laboratory of New Energy Materials and Devices, School of Physics and Electronics, Henan University, Kaifeng 475004, China;
    2 School of Artificial Intelligence, Henan Engineering Research Center for Industrial Internet of Things, Henan University, Zhengzhou 450046, China;
    3 School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
  • Received:2023-05-30 Revised:2023-07-13 Accepted:2023-08-11 Online:2023-10-16 Published:2023-10-24
  • Contact: Xiuli Chai, Junhe Han E-mail:chaixiuli@henu.edu.cn;junhh@henu.edu.cn

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摘要： Some existing image encryption schemes use simple low-dimensional chaotic systems, which makes the algorithms insecure and vulnerable to brute force attacks and cracking. Some algorithms have issues such as weak correlation with plaintext images, poor image reconstruction quality, and low efficiency in transmission and storage. To solve these issues, this paper proposes an optical image encryption algorithm based on a new four-dimensional memristive hyperchaotic system (4D MHS) and compressed sensing (CS). Firstly, this paper proposes a new 4D MHS, which has larger key space, richer dynamic behavior, and more complex hyperchaotic characteristics. The introduction of CS can reduce the image size and the transmission burden of hardware devices. The introduction of double random phase encoding (DRPE) enables this algorithm has the ability of parallel data processing and multi-dimensional coding space, and the hyperchaotic characteristics of 4D MHS make up for the nonlinear deficiency of DRPE. Secondly, a construction method of the deterministic chaotic measurement matrix (DCMM) is proposed. Using DCMM can not only save a lot of transmission bandwidth and storage space, but also ensure good quality of reconstructed images. Thirdly, the confusion method and diffusion method proposed are related to plaintext images, which require both four hyperchaotic sequences of 4D MHS and row and column keys based on plaintext images. The generation process of hyperchaotic sequences is closely related to the hash value of plaintext images. Therefore, this algorithm has high sensitivity to plaintext images. The experimental testing and comparative analysis results show that proposed algorithm has good security and effectiveness.

关键词: memristor, hyperchaotic system, compressed sensing, fractional Fourier transform, optical image encryption

Abstract: Some existing image encryption schemes use simple low-dimensional chaotic systems, which makes the algorithms insecure and vulnerable to brute force attacks and cracking. Some algorithms have issues such as weak correlation with plaintext images, poor image reconstruction quality, and low efficiency in transmission and storage. To solve these issues, this paper proposes an optical image encryption algorithm based on a new four-dimensional memristive hyperchaotic system (4D MHS) and compressed sensing (CS). Firstly, this paper proposes a new 4D MHS, which has larger key space, richer dynamic behavior, and more complex hyperchaotic characteristics. The introduction of CS can reduce the image size and the transmission burden of hardware devices. The introduction of double random phase encoding (DRPE) enables this algorithm has the ability of parallel data processing and multi-dimensional coding space, and the hyperchaotic characteristics of 4D MHS make up for the nonlinear deficiency of DRPE. Secondly, a construction method of the deterministic chaotic measurement matrix (DCMM) is proposed. Using DCMM can not only save a lot of transmission bandwidth and storage space, but also ensure good quality of reconstructed images. Thirdly, the confusion method and diffusion method proposed are related to plaintext images, which require both four hyperchaotic sequences of 4D MHS and row and column keys based on plaintext images. The generation process of hyperchaotic sequences is closely related to the hash value of plaintext images. Therefore, this algorithm has high sensitivity to plaintext images. The experimental testing and comparative analysis results show that proposed algorithm has good security and effectiveness.

Key words: memristor, hyperchaotic system, compressed sensing, fractional Fourier transform, optical image encryption

中图分类号:  (Imaging and optical processing)

  • 42.30.-d
42.30.Kq (Fourier optics) 42.30.Va (Image forming and processing) 42.30.Wb (Image reconstruction; tomography)