基于特征值矩阵参数优化的雷达嵌入式通信波形设计

雷达嵌入式通信（radar-embedded communication, REC）是一种使雷达与通信共用频谱的低截获概率（low probability of intercept, LPI）通信方式，通过在高功率雷达后向散射回波中嵌入低功率通信波形完成隐蔽通信。本文通过对成型注水（shaped water filling, SWF）波形的特征值矩阵幂指数a进行优化，提出了特征值矩阵幂指数可变的SWF波形，即SWF-a波形。本文推导了合作接收机和截获接收机对SWF-a波形的处理增益及增益优势，对其通信可靠性、LPI性能和综合性能进行了理论分析。最后以SWF-0.25、SWF和SWF-0.75波形为例，进行了仿真实验，实验结果与理论分析结果吻合，表明通过特征值矩阵幂指数优化可以满足REC波形不同方面的性能需求，具体地，适当减小参数a可以提高通信可靠性，而适当增大参数a可以提高LPI性能或改善综合性能，但对于LPI性能和通信可靠性能的同步提升，通过选择参数a是难以兼得的。

Radar-Embedded Communication Waveform Design Based on Eigenvalue Matrix Parameter Optimization

? ?Radar embedded communication （REC） is a low probability of intercept （LPI） communication method that enables radar and communication to share the spectrum. It completes convert communication by embedding a low-power communication waveform in a high-power radar backscatter echo. By optimizing the power exponent a of the eigenvalue matrix of the shaped water filling （SWF） waveform， this paper proposed the SWF waveform with variable power exponent of the eigenvalue matrix， namely SWF-a waveform. This paper deduced the processing gain of cooperative receiver and intercept receiver and gain advantage for SWF-a waveform， and theoretically analyzed its communication reliability， LPI performance and comprehensive performance. Finally， taking SWF-0.25， SWF and SWF-0.75 waveforms as examples， the simulation experiments were carried out. The experimental results are consistent with the theoretical analysis results， which shows that the different requirements of REC waveform performance can be met through the optimization of eigenvalue matrix power exponent. Specifically， the communication reliability can be improved by appropriately reducing the parameter a， while the LPI performance or the comprehensive performance can be improved by appropriately increasing the parameter a. However， for the synchronous improvement of LPI performance and communication reliability， it is difficult to have both by selecting parameter a.