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兵工学报 ›› 2025, Vol. 46 ›› Issue (4): 240052-.doi: 10.12382/bgxb.2024.0052

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基于2D-HCE混沌加密的动态 DL-GMPWFRFT 安全通信方法

贠彦直, 孟庆微*(), 王西康, 王晗   

  1. 空军工程大学 信息与导航学院, 陕西 西安 710077
  • 收稿日期:2024-01-17 上线日期:2025-04-30
  • 通讯作者:
  • 基金资助:
    国家自然科学基金项目(62101591)

A Dynamic DL-GMPWFRFT Secure Communication Method Based on 2D-HCE Chaotic Encryption

YUN Yanzhi, MENG Qingwei*(), WANG Xikang, WANG Han   

  1. Institute of Information and Navigation, Air Force Engineering University, Xi’an 710077, Shaanxi, China
  • Received:2024-01-17 Online:2025-04-30

摘要:

为提升无线通信物理层的保密性,提出一种全新的基于2维Hénon-cosine-exponent混沌加密的动态双层广义多参数加权分数傅里叶变换安全通信方法(Dynamic Double-layer Generalized Multi-parameter Weighted Fractional Fourier Transform Secure Communication Method for 2-dimensional Hénon-cosine-exponent Chaotic Encryption,2D-HCE-DDL-GMPWFRFT)。通过向Hénon映射引入余弦和幂指非线性项扰动混沌迭代过程,构建新型2维Hénon-cosine-exponent混沌映射(2-dimensional Hénon-cosine-exponent Chaotic Encryption,2D-HCE),Lyapunov指数、系统分岔图等,验证其优越性。以广义多参数加权分数傅里叶变换(Generalized Multi-parameter Weighted Fractional Fourier Transform,GMPWFRFT)为基础,结合双层WFRFT结构,设计并构造64种双层广义多参数加权分数傅里叶变换(Double-layer Generalized Multi-parameter Weighted Fractional Fourier Transform,DL-GMPWFRFT)。利用2D-HCE混沌序列实施星座幅相加密、随机选取DL-GMPWFRFT变换类型,对星座进行动态变换加密,进而掩盖调制信号样式,并增强系统对参数检测的防御能力。仿真结果表明,新方法加密后星座图呈现类高斯分布,密钥空间大,可达到2218,密钥敏感性好,即使非法窃听者密钥与正确密钥有10-15误差,非法窃听者误比特率仍然在0.4~0.5之间。

关键词: 物理层安全, 混沌加密, 动态函数加密, 双层广义加权分数傅里叶变换

Abstract:

In order to improve the confidentiality of physical layer of wireless communications,a dynamic double-layer generalized multi-parameter weighted fractional Fourier transform (DDL-GMPWFRFT) secure communication method based on two-dimensional Hénon-cosine-exponent (2D-HCE) chaotic encryption is proposed.A 2D-HCE hyper-chaotic map is constructed by introducing the cosine and power-exponent nonlinear terms to Hénon map,which is verified by using Lyapunov exponential and system bifurcation diagram.64 kinds of double-layer GMPWFRFTs (DL-GMPWFRFTs) are designed and constructed based on GMPWFRFT and double-layer WFRFT structure.2D-HCE chaotic sequence is used to implement the amplitude-phase encryption of constellation,and DL-GMPWFRFT transformation type is randomly selected for the dynamic transformation encryption of constellation to further conceal the modulated signal style and improve the system’s defense ability against parameter detection.Simulated results show that the constellation map encrypted by the proposed method presents a Gaussian distribution,and the keyspace is up to 2218.The key sensitivity is much higher,and the bit error rate of eavesdropper is still in the range from 0.4 to 0.5 even if there is an error of 10-15 between the key from an eavesdropper and the correct key.

Key words: physical layer security, chaotic encryption, dynamic function encryption, double-layer generalized multi-parameter weighted fractional Fourier transform

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