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

摘要/Abstract

摘要：

针对当前信号采集传输高效性和安全性的实际需求, 提出了基于蔡氏电路和压缩感知的图像压缩加密方法。首先利用SHA-256算法生成原始信号的消息摘要; 其次利用摘要生成蔡氏电路的初始值; 再次利用蔡氏电路生成的混沌模拟信号经过8位量化采集和数字移位差分生成伪随机序列, 从而构建出混沌观测矩阵并对信号进行压缩采样; 最后将压缩后的信号通过生成的伪随机序列进行置乱加密和灰度加密, 生成压缩加密后的信号。实验结果表明, 该方法生成的混沌观测矩阵性能优于传统的随机观测矩阵, 同时能够有效提高信号的传输效率及安全性。

关键词: 压缩感知, 蔡氏电路, 伪随机序列, 图像加密, 观测矩阵

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

中图分类号:

O436

马啸宇, 张金生, 李婷. 基于蔡氏电路和压缩感知的图像压缩加密方法[J]. 系统工程与电子技术, 2021, 43(9): 2407-2412.

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.

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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