EWFRFT Communication Method Using Non-Degenerate Hyperchaos-Driven Three-Dimensional Constellation Encryption

YUN Yan-zhi; MENG Qing-wei; WANG Han; MA Zhi-qiang

doi:10.12263/DZXB.20250135

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EWFRFT Communication Method Using Non-Degenerate Hyperchaos-Driven Three-Dimensional Constellation Encryption

PAPERS | 更新时间：2025-12-27

- EWFRFT Communication Method Using Non-Degenerate Hyperchaos-Driven Three-Dimensional Constellation Encryption
- ACTA ELECTRONICA SINICA Vol. 53, Issue 9, Pages: 3245-3255(2025)
- 作者机构：
  
  空军工程大学信息与导航学院，陕西西安 710077
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China(62101591)
- DOI：10.12263/DZXB.20250135
  CLC： TN918.91;
- Received：22 February 2025，
  
  Accepted：18 September 2025，
  
  Published：25 September 2025
- 稿件说明：
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贠彦直, 孟庆微, 王晗, 等. 无简并超混沌驱动三维星座加密的EWFRFT通信方法[J]. 电子学报, 2025, 53(09): 3245-3255.

YUN Yan-zhi, MENG Qing-wei, WANG Han, et al. EWFRFT Communication Method Using Non-Degenerate Hyperchaos-Driven Three-Dimensional Constellation Encryption[J]. Acta Electronica Sinica, 2025, 53(09): 3245-3255.
贠彦直, 孟庆微, 王晗, 等. 无简并超混沌驱动三维星座加密的EWFRFT通信方法[J]. 电子学报, 2025, 53(09): 3245-3255. DOI：10.12263/DZXB.20250135

YUN Yan-zhi, MENG Qing-wei, WANG Han, et al. EWFRFT Communication Method Using Non-Degenerate Hyperchaos-Driven Three-Dimensional Constellation Encryption[J]. Acta Electronica Sinica, 2025, 53(09): 3245-3255. DOI：10.12263/DZXB.20250135

摘要

为进一步增强无线通信的安全性，提出了一种无简并超混沌驱动三维星座加密的扩展加权分数傅里叶变换（Extended Weighted Fractional Fourier Transform， EWFRFT）通信方法.该方法构建了一种无简并超混沌，运用其产生的混沌序列控制缩放、罗德里格斯旋转的参数，生成随机的缩放矩阵、罗德里格斯旋转矩阵，对每个星座点实施先缩放再旋转的三维星座加密；随后，将加密星座点组合为I/Q信号，再进行EWFRFT处理.同时，给出了三维星座加密的数学模型和密码原语，证明了其具有完全保密性，且每个星座点均有8个相互独立的因素控制加密，变换后的位置更加随机不可预测.仿真结果表明，所提方法加密后不仅扰乱了原本分布规律的星座图，提升了无线信号的抗截获能力，而且传输信息呈现良好的随机性分布，能够对抗穷举、统计等常见攻击.

Abstract

To further enhance the security of wireless communication

an extended weighted fractional Fourier transform (EWFRFT) communication method using non-degenerate hyperchaos-driven three-dimensional constellation encryption is proposed. The method constructs a non-degenerate hyperchaos and utilizes its generated sequences to control the parameters of scaling and Rodrigues’ rotation. It generates randomized scaling matrices and Rodrigues’ rotation matrices

applying 3D constellation encryption through sequential scaling followed rotation to each constellation point. Then

the encrypted constellation points are combined into I/Q signals for EWFRFT processing. Furthermore

the mathematical model and cryptographic primitives for 3D constellation encryption are presented

which demonstrates its perfect confidentiality. Each constellation point is controlled by 8 mutually factors for encryption

resulting in more randomized and unpredictable transformed positions. Simulation results show that the proposed method not only disrupts the original structured constellation distribution

improving the anti-interception capability of wireless signals

but also presents excellent randomness in transmitted information

effectively resisting common attacks such as exhaustive attack and statistical attack.

关键词

Keywords

references

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