| 引用本文: | 黄永新,房宵杰,沙学军.基于二维加权分数傅里叶变换的安全传输方法[J].哈尔滨工业大学学报,2022,54(5):11.DOI:10.11918/202011077 |
| HUANG Yongxin,FANG Xiaojie,SHA Xuejun.A secure transmission method based on two-dimensional weighted fractional Fourier transform[J].Journal of Harbin Institute of Technology,2022,54(5):11.DOI:10.11918/202011077 |
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| 摘要: |
| 从无线通信系统的安全性角度出发,为了进一步提升传统加权分数傅里叶（weighted fractional Fourier transform, WFRFT）的抗截获性能,引入二维加权分数傅里叶变换（two-dimensional weighted fractional Fourier transform, 2DWFRFT）。2DWFRFT在原有一维变换基础上,其核心算法通过进行多次不同参数的横纵维度变换以进一步提升单参数加权分数傅里叶变换的抗扫描特性。本文给出了信号的生成方法,推导出特定情况下的矩阵表达式,并详细阐述了本方案的实现计算复杂度以及星座旋转特征优势。理论分析方面,为了充分说明本方案的抗截获性能,从物理层安全信息理论角度分析了MISO窃听信道模型下的遍历安全容量。仿真结果表明:相比于单参数一维加权分数傅立叶变换,2DWFRFT变换阶数由多个参数向量组成,仅以有限的计算复杂度为代价便可获得抗截获性能的有效提升,同时在星座混淆方面可突破原点数限制,提供更加丰富的星座变换特征。相比于传统物理层安全领域中的人工噪声方法,本文方案具有安全容量高、无需额外消耗噪声信号功率等优势。 |
| 关键词: 物理层安全 一维加权分数傅里叶变换 二维加权分数傅里叶变换 星座旋转 抗截获 遍历安全容量 |
| DOI：10.11918/202011077 |
| 分类号:TN918.91 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(61901140)；中国博士后科学基金资助项目(2019M650067)；通信网信息传输与分发技术重点实验室基金(6142104190203);黑龙江省自然科学基金(YQ2021F003) |
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| A secure transmission method based on two-dimensional weighted fractional Fourier transform |
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HUANG Yongxin1,2,FANG Xiaojie1,2,SHA Xuejun1
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(1.Communication Research Center,Harbin Institute of Technology, Harbin 150001, China; 2.Science and Technology on Communication Networks Laboratory, Shijiazhuang 050081, China)
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| Abstract: |
| To further enhance the anti-interception performance of traditional weighted fractional Fourier transform (WFRFT) from the perspective of security of wireless communication system, the two-dimensional weighted fractional Fourier transform (2DWFRFT) was introduced. Based on the original one-dimensional transform, the kernel algorithm of 2DWFRFT further improved the anti-scanning property of the single-parameter WFRFT by taking advantage of multiple horizontal and vertical dimensional transforms with different parameters. First, the signal generation method was given, and the matrix expressions for specific cases were derived. Then, the implementation complexity of the proposed scheme and the advantages of constellation rotation characteristics were described. In order to fully illustrate the anti-interception performance of the scheme from the perspective of physical layer security information theory, the ergodic secrecy capacity was analyzed under the multiple-input single-output (MISO) wiretap channel model. Simulation results show that compared with the one-dimensional WFRFT, the order of 2DWFRFT consisted of multiple parameter vectors, which could effectively improve the interception resistance only at the cost of limited computational complexity, and provide richer constellation features by breaking the point limits of constellation scrambling. Finally, compared with the traditional artificial noise method, the proposed scheme had a higher security capacity without additional signal power consumption. |
| Key words: physical layer security one-dimensional weighted fractional Fourier transform two-dimensional weighted fractional Fourier transform constellation rotation anti-interception ergodic secrecy capacity |
