基于蔡氏电路和压缩感知的图像压缩加密方法

doi:10.12305/j.issn.1001-506X.2021.09.05

Abstract

Abstract:

Aiming at the actual requirements of high efficiency and security in signal acquisition and transmission, a signal compression encryption method based on Chua's circuit and compressive sensing is proposed. Firstty, the SHA-256 algorithm is used to generate a message digest of the original signal; secondly, the digest is used to generate the initial value of the Chua's circuit; The chaotic observation matrix is used to compress and sample the signal by the chaotic analog signal generated from the Chua's circuit which is chosen to generate a pseudo-random sequence through 8-bit quantization acquisition and digital shift difference. Finally, the compressed signal is scrambled and encrypted with the generated pseudo-random sequence to generate a compressed and encrypted signal. The experimental results show that the performance of the chaotic observation matrix generated by this method is better than that of the traditional random observation matrix, and it can effectively improve the signal transmission efficiency and security.

Key words: compressed sensing, Chua's circuit, pseudo random sequence, image encryption, observation matrix

CLC Number:

O436

Xiaoyu MA, Jinsheng ZHANG, Ting LI. Image compress and encryption method based on Chua's circuit and compressed sensing[J]. Systems Engineering and Electronics, 2021, 43(9): 2407-2412.

Figures/Tables 11

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References 22

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测试参数	P值	比例	结果
frequency	0.874 312	0.974 0	成功
block-frequency	0.413 766	0.988 2	成功
cumulative-sums	0.976 026	0.979 0	成功
runs	0.128 761	0.989 0	成功
longest-run	0.492 497	0.991 0	成功
rank	0.823 145	0.981 0	成功
fft	0.856 244	0.979 0	成功
nonperiodic-templates	0.773 171	0.982 0	成功
universal	0.134 725	0.988 0	成功
apen	0.529 923	0.993 2	成功
random-excursions	0.513 302	0.979 2	成功
random-excursions-variant	0.454 122	0.989 4	成功
serial	0.139 427	0.979 2	成功

观测矩阵	PSNR/dB	MAE	RMSE
高斯随机矩阵	27.742 3	7.362 2	10.087 1
伯努利随机矩阵	26.997 7	7.441 3	10.201 2
混沌随机矩阵	28.314 5	6.816 4	9.687 6

观测矩阵	PSNR/dB	MAE	RMSE
高斯随机矩阵	22.417 7	11.317 9	15.647 7
伯努利随机矩阵	22.213 3	11.334 1	15.875 1
混沌随机矩阵	22.712 1	11.121 3	15.244 5

观测矩阵	PSNR/dB	MAE	RMSE
高斯随机矩阵	13.936 3	22.091 1	36.283 4
伯努利随机矩阵	13.814 7	22.133 5	36.417 3
混沌随机矩阵	14.224 1	22.060 1	36.091 7

算法	水平方向	垂直方向	对角线方向
明文图像	0.971 1	0.934 4	0.910 9
本文方法	0.001 6	0.000 9	-0.002 1
文献[20]	-0.023 0	0.001 9	-0.003 4
文献[21]	0.001 8	0.001 1	-0.001 2
文献[22]	0.001 8	0.001 5	0.000 9

Image compress and encryption method based on Chua's circuit and compressed sensing

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