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摘要:
为提高无线通信物理层安全传输性能，提出一种基于多级联混沌加密的多参数加权分数傅里叶变换(MP-WFRFT)安全通信方法。通过基于Logistic映射和Henon-Sine映射的多级联混沌系统实现比特数据的第1轮置乱加密和符号数据的第2轮相位加密，利用MP-WFRFT的星座裂变特性进行数据第3轮星座加密。三重加密方案极大提升了通信系统的保密性，有效防止了暴力攻击。相比传统的低维混沌加密方法，基于Logistic映射和Henon-Sine映射的多级联混沌具备更大的密钥空间，且系统运动轨迹更为复杂。针对多级联混沌加密方案在数据加密中的应用，提出了新的比特置乱和改进的移位星座旋转方法实现数据安全。仿真结果和分析表明：所提三重加密方案在不影响传输性能的情况下能够有效地对信息进行安全传输，非合作接收方在混沌密钥仅存在10−15偏差的情况下误比特率始终保持在0.5左右。
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关键词:
- 物理层安全 /
- 级联混沌 /
- 多参数加权分数傅里叶变换 /
- 比特置乱 /
- 星座加密
Abstract:To improve the secure transmission performance of the physical layer of wireless communication, a multiple parameters weighted-type fractional Fourier transform (MP-WFRFT) secure communication method based on multi-cascade chaotic encryption was proposed. The multi-cascade chaotic system based on Logistic mapping and Henon-Sine mapping was used to implement the first round of scrambling encryption for bit data and the second round of phase encryption for symbol data, and the third round of constellation encryption was carried out by using the constellation fission property of MP-WFRFT. This triple encryption scheme greatly enhanced the confidentiality of the communication system and effectively prevented brute-force attacks. Compared with the traditional low-dimensional chaotic encryption methods, the multi-cascade chaos based on Logistic mapping and Henon-Sine mapping had a larger key space and more complex system motion trajectory. For the application of multi-cascade chaotic encryption schemes in data encryption, a new bit scrambling and an improved mobile constellation rotation method were proposed to achieve data security. Simulation results and analysis show that the triple encryption scheme can effectively transmit messages securely without affecting transmission performance, and the bit error rate of non-cooperative receivers is consistently maintained at around 0.5 with only 10−15 deviations from the chaotic key.
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图 1 3类混沌映射的相图、分岔图及李雅普诺夫指数谱
Figure 1. Phase diagrams, bifurcation diagrams, and Lyapunov exponent spectra for three types of chaotic mapping
图 5 数据原始分布及置乱后分布
Figure 5. Original distribution and distribution after scrambling of data
图 8 加密方案前后信号的时域波形
Figure 8. Time domain waveform of signal before and after encryption scheme
图 9 Logistic映射和Henon-Sine 映射初始值对混沌序列的影响
Figure 9. Effect of initial values of Logistic and Henon-Sine mappings on chaotic sequences
图 10 不同混沌密钥初值情况下的误比特率曲线
Figure 10. Bit error rate curves for different initial values of chaotic keys
图 11 变换参数不同误差情况下的误比特率曲线
Figure 11. Bit error rate curves with different errors in transformation parameters
表 1 仿真参数
Table 1. Simulation parameters
参数 数值 信号长度 65536 信道 AWGN 调制方式 QPSK d 32×32 g 4×4 l 1 $ \alpha $ 0.8 R [0,1,2,3] S [1,0,1,0] 
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