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

作　　者：孟庆微[1] 贠彦直 王晗 MENG Qingwei;YUN Yanzhi;WANG Han(Information and Navigation College,Air Force Engineering University,Xi'an 710077,China)

机构地区：[1]空军工程大学信息与导航学院,陕西西安710077

出　　处：《通信学报》2025年第2期136-146,共11页Journal on Communications

基　　金：国家自然科学基金资助项目(No.62101591)。

摘　　要：为解决无线通信开放性带来的安全问题,从信号层面入手,提出一种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。该方法设计了混沌三维布朗运动序列,利用其控制缩放参数生成随机缩放矩阵,进而对每个星座符号进行缩放加密。随后,将缩放加密后的星座符号组合为I/Q信号,并进行扩展加权分数傅里叶变换处理。此外,还给出了三维星座缩放加密的概率模型,并证明了其具有完全保密性。仿真结果表明,所提方法加密后有效扰乱了原本分布规律的星座图,且即使密钥空间发生微小变化,也无法解密出任何有价值的信息。To solve the security problems caused by the openness of wireless communication,an extended weighted fractional 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 encryption 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 

分 类 号：TN918.91[电子电信—通信与信息系统]