| 摘要: |
| 作为一种具备相位连续特性的调制波形，多相编码调频信号在频谱灵活性与系统实现损耗较低等方面表现优异。然而，当目标存在较大多普勒频移时，该类波形的脉冲压缩性能容易出现显著恶化，从而制约其对运动目标的探测能力。针对该问题，本文提出一种基于梯度下降算法的多相编码调频多普勒容忍非连续谱波形设计方法。首先，结合运动目标探测对多普勒容限的实际需求，构建了一个多目标优化模型，其目标函数旨在最小化波形在多普勒频偏区间内功率谱密度与理想参考谱的差异，并有效抑制非连续谱的带外辐射与阻带功率，同时兼顾发射波形所需的恒包络约束。随后，引入高效的梯度下降算法对上述非凸优化模型进行求解，以实现迭代式的波形优化设计。仿真与硬件实验结果表明，相较于现有优化方法，本文所设计的波形在保持恒包络特性的同时，具有更优的脉冲压缩旁瓣抑制性能，能够显著提升雷达在复杂环境下对运动目标的探测效能。 |
| 关键词: 多相编码调频 非连续谱信号 恒模约束 多普勒容忍 |
| DOI： |
| 分类号:No.62401579 |
| 基金项目:国家自然科学基金(No.62401579) |
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| Gradient Descent-Based Optimization of Doppler-Tolerant Discontinuous Spectrum Polyphase-Coded FM Waveforms |
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| Abstract: |
| To address the performance trade-off of polyphase coded frequency modulated (PCFM) radar waveforms in complex electromagnetic environments and high-speed target detection, a gradient descent-based optimization algorithm is proposed. By introducing a weighting parameter to balance spectral compatibility and autocorrelation properties, the method effectively designs Doppler-tolerant waveforms under discontinuous spectrum constraints. Theoretical analysis and simulation results demonstrate that the proposed algorithm significantly reduces computational complexity while maintaining superior sidelobe suppression. Compared with existing non-continuous spectrum optimization methods, this approach offers higher real-time processing potential and robust detection performance in dynamic scenarios. |
| Key words: Polyphase-Coded Frequency Modulation (PCFM) discontinuous spectrum signals constant modulus constraint Doppler tolerance |