高级搜索

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

一种基于Logistic电平脉冲的多涡卷系统及其图像加密应用

徐昌彪 黎金龙 许浩南

徐昌彪, 黎金龙, 许浩南. 一种基于Logistic电平脉冲的多涡卷系统及其图像加密应用[J]. 电子与信息学报, 2022, 44(12): 4328-4336. doi: 10.11999/JEIT211169
引用本文: 徐昌彪, 黎金龙, 许浩南. 一种基于Logistic电平脉冲的多涡卷系统及其图像加密应用[J]. 电子与信息学报, 2022, 44(12): 4328-4336. doi: 10.11999/JEIT211169
XU Changbiao, LI Jinlong, XU Haonan. A Multi-Scroll System and Its Application for Image Encryption Based on Logistic Level Pulse[J]. Journal of Electronics & Information Technology, 2022, 44(12): 4328-4336. doi: 10.11999/JEIT211169
Citation: XU Changbiao, LI Jinlong, XU Haonan. A Multi-Scroll System and Its Application for Image Encryption Based on Logistic Level Pulse[J]. Journal of Electronics & Information Technology, 2022, 44(12): 4328-4336. doi: 10.11999/JEIT211169

一种基于Logistic电平脉冲的多涡卷系统及其图像加密应用

doi: 10.11999/JEIT211169
基金项目: 国家自然科学基金(62071077)
详细信息
    作者简介:

    徐昌彪:男,博士,教授,研究方向为无线移动通信、混沌系统控制和混沌加密

    黎金龙:男,硕士生,研究方向为混沌系统和安全图像加密

    许浩南:男,硕士生,研究方向为混沌系统与应用

    通讯作者:

    黎金龙 18207748817@163.com

  • 中图分类号: TN918.4; O415.5

A Multi-Scroll System and Its Application for Image Encryption Based on Logistic Level Pulse

Funds: The National Natural Science Foundation of China (62071077)
  • 摘要: 现有多涡卷吸引子混沌系统中引入的非线性函数多为阶梯函数、饱和函数、多逻辑电平脉冲函数等,从而系统的电路实现复杂度会随涡卷数量的增加而增大,致使其硬件实现变得较为困难。针对此问题,该文设计了Logistic电平脉冲函数,采用非自治的脉冲控制方法基于Lorenz系统构造了一个新的多涡卷混沌系统,对其进行了动力学特性分析和基于FPGA芯片的硬件实现,最后给出了系统在图像加密中的应用。分析结果表明,该文所设计系统的电路实现复杂度与涡卷数量无关,于是FPGA电路可在不改变RTL代码的情况下仅通过改变控制参数即可产生不同的多涡卷吸引子;与Lorenz系统相比,此多涡卷系统具有更多的敏感性参数,应用于图像加密时密钥空间更大,更能有效抵抗穷举攻击。
  • 图  1  Logistic电平脉冲的波形变化曲线

    图  2  平衡点分布和Poincare截面

    图  3  多涡卷吸引子混沌系统相图

    图  4  最大Lyapunov指数和混沌序列复杂度

    图  5  混沌序列

    图  6  FPGA设计顶层RTL视图

    图  7  FPGA实现效果

    图  8  图像加密流程

    图  9  图像加密效果

    图  10  密文解密效果

    表  1  NIST SP800-22随机特性测试结果

    12345678
    测试项目单bit测试块内单bit测试游程测试块内最长
    游程测试
    二进制矩阵
    秩测试
    离散傅里
    叶测试
    非重叠模块
    匹配测试
    重叠模块
    匹配测试
    P-value0.22700.86250.83410.74080.01340.97680.06340.4551
    9101112131415
    测试项目Maurer通用统计测试线性复杂度测试序列测试近似熵测试累加和测试随机旅行测试随机旅行变种测试
    P-value0.04720.94220.45750.59210.68420.07190.0260
    下载: 导出CSV

    表  2  参数敏感性和密文视觉安全性分析

    组号图像X图像YSSIM
    1图10(a)图10(b)$ 1.49 \times {10^{ - 4}} < 0.1 $
    2图10(a)图10(c)$ 1.70 \times {10^{ - 4}} < 0.1 $
    3Baboon明文Baboon密文$ 9.28 \times {10^{ - 5}} < 0.1 $
    4House明文House密文$ 5.98 \times {10^{ - 5}} < 0.1 $
    5Airplain明文Airplain密文$ 8.81 \times {10^{ - 5}} < 0.1 $
    下载: 导出CSV
  • [1] LIU Yu, QIN Zheng, LIAO Xiaofeng, et al. A chaotic image encryption scheme based on Hénon–Chebyshev modulation map and genetic operations[J]. International Journal of Bifurcation and Chaos, 2020, 30(6): 2050090. doi: 10.1142/S021812742050090X
    [2] BAO Bocheng, HU Fengwei, QUAN Yajuan, et al. Self-excited and hidden attractors found simultaneously in a modified Chua's circuit[J]. International Journal of Bifurcation and Chaos, 2015, 25(5): 1550075. doi: 10.1142/S0218127415500753
    [3] LIU Song, WEI Yaping, LIU Jingyi, et al. Multi-scroll chaotic system model and its cryptographic application[J]. International Journal of Bifurcation and Chaos, 2020, 30(13): 2050186. doi: 10.1142/S0218127420501862
    [4] YU Simin, TANG W K S, LU Jinhu, et al. Generation of n×m -wing Lorenz-like attractors from a modified Shimizu-Morioka model[J]. IEEE Transactions on Circuits and Systems II:Express Briefs, 2008, 55(11): 1168–1172. doi: 10.1109/TCSII.2008.2002563
    [5] 摆玉龙, 杨阳, 唐丽红. 一个新多涡卷混沌系统的设计及在图像加密中的应用[J]. 电子与信息学报, 2021, 43(2): 436–444. doi: 10.11999/JEIT191002

    BAI Yulong, YANG Yang, and TANG Lihong. Design of a multi-scroll chaotic system and its application to image encryption[J]. Journal of Electronics &Information Technology, 2021, 43(2): 436–444. doi: 10.11999/JEIT191002
    [6] YU Simin, Lü Jinhu, CHEN Guanrong, et al. Design and implementation of grid multiwing butterfly chaotic attractors from a piecewise Lorenz system[J]. IEEE Transactions on Circuits and Systems II:Express Briefs, 2010, 57(10): 803–807. doi: 10.1109/TCSII.2010.2067792
    [7] ZHANG Guitao and WNAG Faqian. A novel multi-scroll chaotic generator: Analysis, simulation, and implementation[J]. Chinese Physics B, 2018, 27(1): 018201. doi: 10.1088/1674-1056/27/1/018201
    [8] CHEN Zhong, WEN Guilin, ZHOU Huaan, et al. Generation of grid multi-scroll chaotic attractors via hyperbolic tangent function series[J]. Optik, 2017, 130: 594–600. doi: 10.1016/j.ijleo.2016.10.085
    [9] HONG Qinghui, LI Ya, WANG Xiaoping, et al. A versatile pulse control method to generate arbitrary multidirection multibutterfly chaotic attractors[J]. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2019, 38(8): 1480–1492. doi: 10.1109/TCAD.2018.2855121
    [10] WU Qiujie, HONG Qinghui, LIU Xiaoyang, et al. Constructing multi-butterfly attractors based on Sprott C system via non-autonomous approaches[J]. Chaos:An Interdisciplinary Journal of Nonlinear Science, 2019, 29(4): 043112. doi: 10.1063/1.5087976
    [11] XIE Qi and ZENG Yicheng. Generating different types of multi-double-scroll and multi-double-wing hidden attractors[J]. The European Physical Journal Special Topics, 2020, 229(6): 1361–1371. doi: 10.1140/epjst/e2020-900223-9
    [12] PENG Xuenan, ZENG Yicheng, WANG Mengjiao, et al. Generating multi-layer nested chaotic attractor and its FPGA implementation[J]. Chinese Physics B, 2021, 30(6): 060509. doi: 10.1088/1674-1056/abda34
    [13] 陈志刚, 梁涤青, 邓小鸿, 等. Logistic混沌映射性能分析与改进[J]. 电子与信息学报, 2016, 38(6): 1547–1551. doi: 10.11999/JEIT151039

    CHEN Zhigang, LIANG Diqing, DENG Xiaohong, et al. Performance analysis and improvement of logistic chaotic mapping[J]. Journal of Electronics &Information Technology, 2016, 38(6): 1547–1551. doi: 10.11999/JEIT151039
    [14] 孙克辉, 贺少波, 朱从旭, 等. 基于C0算法的混沌系统复杂度特性分析[J]. 电子学报, 2013, 41(9): 1765–1771. doi: 10.3969/j.issn.0372-2112.2013.09.015

    SUN Kehui, HE Shaobo, ZHU Congxu, et al. Analysis of chaotic complexity characteristics based on C0 algorithm[J]. Acta Electronica Sinica, 2013, 41(9): 1765–1771. doi: 10.3969/j.issn.0372-2112.2013.09.015
    [15] CHUMAN T, SIRICHOTEDUMRONG W, and KIYA H. Encryption-then-compression systems using grayscale-based image encryption for JPEG images[J]. IEEE Transactions on Information Forensics and Security, 2019, 14(6): 1515–1525. doi: 10.1109/TIFS.2018.2881677
  • 加载中
图(10) / 表(2)
计量
  • 文章访问数:  335
  • HTML全文浏览量:  182
  • PDF下载量:  62
  • 被引次数: 0
出版历程
  • 收稿日期:  2021-10-26
  • 修回日期:  2022-04-05
  • 网络出版日期:  2022-04-22
  • 刊出日期:  2022-12-16

目录

    /

    返回文章
    返回