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基于余幂-激活离散超混沌加密的多参数加权分数傅里叶变换安全通信方法

孟庆微 王西康 齐子森 张悦

孟庆微, 王西康, 齐子森, 张悦. 基于余幂-激活离散超混沌加密的多参数加权分数傅里叶变换安全通信方法[J]. 电子与信息学报, 2023, 45(5): 1688-1696. doi: 10.11999/JEIT220364
引用本文: 孟庆微, 王西康, 齐子森, 张悦. 基于余幂-激活离散超混沌加密的多参数加权分数傅里叶变换安全通信方法[J]. 电子与信息学报, 2023, 45(5): 1688-1696. doi: 10.11999/JEIT220364
MENG Qingwei, WANG Xikang, QI Zisen, ZHANG Yue. Multiple Parameters Weighted-type FRactional Fourier Transform Secure Communication Method Based on Cosine Power-Activation Discrete Hyperchaotic Encryption[J]. Journal of Electronics & Information Technology, 2023, 45(5): 1688-1696. doi: 10.11999/JEIT220364
Citation: MENG Qingwei, WANG Xikang, QI Zisen, ZHANG Yue. Multiple Parameters Weighted-type FRactional Fourier Transform Secure Communication Method Based on Cosine Power-Activation Discrete Hyperchaotic Encryption[J]. Journal of Electronics & Information Technology, 2023, 45(5): 1688-1696. doi: 10.11999/JEIT220364

基于余幂-激活离散超混沌加密的多参数加权分数傅里叶变换安全通信方法

doi: 10.11999/JEIT220364
基金项目: 国家自然科学基金(61906156)
详细信息
    作者简介:

    孟庆微:男,副教授,研究方向为物理层安全、通信信号处理

    王西康:男,硕士生,研究方向为物理层安全、混沌加密

    齐子森:男,副教授,研究方向为多维信号处理

    张悦:男,副教授,研究方向为深度强化学习、博弈论

    通讯作者:

    王西康 1564851402@qq.com

  • 中图分类号: TN918.91

Multiple Parameters Weighted-type FRactional Fourier Transform Secure Communication Method Based on Cosine Power-Activation Discrete Hyperchaotic Encryption

Funds: The National Natural Science Foundation of China (61906156)
  • 摘要: 为提高物理层安全传输性能,该文提出一种新的基于2维余幂-激活(2D-CPA)离散超混沌加密的多参数加权分数傅里叶变换(MP-WFRFT)安全通信方法。首先,将激活函数和余弦函数作为非线性因子引入1维立方(cubic)混沌映射,构造2维混沌映射。非线性因子可对原始cubic混沌映射的迭代过程进行扰动,从而获得更加饱满的相轨。利用分岔图、相图、Lyapunov指数谱等对提出的2维混沌映射动力学特性进行了验证。结果表明,构造的2维混沌序列随机性良好,可进入超混沌状态。然后,利用余幂-激活离散超混沌序列分别构建幅度变换矩阵、相位旋转矩阵和MP-WFRFT参数池,完成对星座幅相加密,以及MP-WFRFT动态变换加密过程,进一步消除数据统计特征,同时提升MP-WFRFT变换的抗参数扫描性能。数值仿真结果表明,加密数据的星座图呈类高斯分布,且传输系统对密钥的敏感性良好。
  • 图  1  混沌系统不同初始值下特征值分布图

    图  2  2D-CPA混沌的相图、分岔图以及Lyapunov指数谱

    图  3  基于2D-CPA和MP-WFRFT通信系统模型

    图  4  QPSK, 16QAM信号的原始分布以及加密后分布

    图  5  不同参数差异下系统保密容量

    图  6  误比特率曲线分析

    图  7  同类方案安全性能对比分析

    表  1  两类混沌映射的Lyapunov指数、ApEn和PE

    混沌映射最大Lyapunov指数ApEnPE
    cubic0.65120.64030.9290
    2D-CPA0.80540.96890.9955
    下载: 导出CSV

    表  2  算法时间复杂度分析

    算法名称时间复杂度
    2D-CPAO(nlog2(n))
    文献[23]O(n2)
    文献[24]O(nlog2(n))
    文献[25]O(n2)
    下载: 导出CSV

    表  3  仿真参数

    特性参数
    调制方式QPSK, 16QAM
    信道类型AWGN
    分组长度512
    信号长度262144
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-03-31
  • 修回日期:  2022-07-14
  • 网络出版日期:  2022-07-21
  • 刊出日期:  2023-05-10

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