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三维星座缩放加密的扩展加权分数傅里叶变换安全通信方法

孟庆微 贠彦直 王晗

通信学报2025,Vol.46Issue(2):136-146,11.
通信学报2025,Vol.46Issue(2):136-146,11.DOI:10.11959/j.issn.1000-436x.2025012

三维星座缩放加密的扩展加权分数傅里叶变换安全通信方法

Extended weighted fractional Fourier transform secure communication method based on 3D constellation scaling encryption

孟庆微 1贠彦直 1王晗1

作者信息

  • 1. 空军工程大学信息与导航学院,陕西 西安 710077
  • 折叠

摘要

Abstract

To solve the security problems caused by the openness of wireless communication,an extended weighted frac-tional Fourier transform secure communication method based on 3D constellation scaling encryption was proposed from the signal level.A chaotic three-dimensional Brownian motion sequence was designed to control the scaling parameters and a random scaling matrix was generated,which was used to encrypt each constellation symbol.Then,the constellation-scaled encrypted symbols were combined into I/Q signals and subjected to extended weighted fractional Fourier transform processing.Furthermore,a probabilistic model of the three-dimensional constellation scaling encryp-tion was given,proving that it had complete confidentiality.Simulation results show that the proposed method encrypts the original constellation diagram,which is originally distributed in a regular manner,and that even a slight change in the key space cannot decrypt any valuable information.

关键词

三维星座/缩放加密/扩展加权分数傅里叶变换/混沌三维布朗运动

Key words

three-dimensional constellation/scaling encryption/extended weighted fractional Fourier transform/chaotic three-dimensional Brownian motion

分类

电子信息工程

引用本文复制引用

孟庆微,贠彦直,王晗..三维星座缩放加密的扩展加权分数傅里叶变换安全通信方法[J].通信学报,2025,46(2):136-146,11.

基金项目

国家自然科学基金资助项目(No.62101591) The National Natural Science Foundation of China(No.62101591) (No.62101591)

通信学报

OA北大核心

1000-436X

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