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摘要: 针对杂波环境中雷达通信一体化系统探测性能下降的问题，该文以信干噪比作为设计准则，通过联合优化系统发射波形和接收滤波器来抑制杂波，进而增强目标探测性能。为同时保证系统信息传输的质量，将通信信号的多用户干扰能量纳入约束条件。此外，引入相似性约束使得发射波形具有良好的模糊函数。为求解发射波形和接收滤波器联合优化问题，提出了一种基于循环优化和半正定松弛的迭代算法。理论分析证明了算法的收敛性。仿真结果表明，所设计的波形不仅可以提升系统在杂波环境中的目标探测性能，而且可以高效地实现多用户通信。Abstract: To prevent the degradation of the detection performance of Dual-Function Radar-Communication (DFRC) system in the presence of clutter, we propose the joint design of a transmit waveform and receiver filter to suppress the clutter and enhance the target detection performance. We use the Signal-to-Interference-plus-Noise Ratio (SINR) as the design criterion. Meanwhile, the Multi-User Interference (MUI) energy of the communication signals is constrained to maintain the quality of service for information transmission via DFRC systems. In addition, a similarity constraint is enforced to enable the transmitted waveform to have a good ambiguity function. To tackle the joint optimization problem, we present an iterative algorithm based on cyclic optimization and Semi-Definite Relaxation (SDR). The convergence of the algorithm is proved by a theoretical analysis. The simulation results show that the designed waveform can improve the target detection performance of a DFRC system in clutter and efficiently realize multi-user communication.
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图 1 基于MIMO阵列的雷达通信一体化系统
Figure 1. Dual-function radar communication system based on MIMO array
图 2
${{{\tilde {\boldsymbol{X}}}}^{{\text{opt}}}}$ 的分解方法Figure 2. The decomposition of
${{{\tilde {\boldsymbol{X}}}}^{{\text{opt}}}}$ 
图 4 SINRr随着迭代次数的变化曲线(通信MUI能量为10–3)
Figure 4. SINRr versus iteration number with MUI energy of 10–3
图 5 波束方向图(通信MUI能量为10–3)
Figure 5. Beampattern of the dual-function radar-communication systems with MUI energy of 10–3
图 6 合成通信信号
${{\stackrel \frown{{\boldsymbol{C}}} {\boldsymbol{x}}}}$ 性能Figure 6. The performance of the synthesized communication signals
图 7 和速率随通信信号信噪比变化情况
Figure 7. The achievable sum-rate versus the signal-to-noise ratio of communication signals
图 8 不同
$ \delta $ 条件下SINRr随着迭代次数的变化曲线Figure 8. SINRr versus iteration number for different δ
图 11 不同β条件下和速率随通信信号信噪比变化情况
Figure 11. The achievable sum-rate versus the signal-to-noise ratio of communication signals for different β
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