AI 中文总结
研究亚奈奎斯特多目标测距中现有调频波形的权衡问题，提出SC-EFM波形，通过调整椭圆模量控制IF曲率，保持脉冲特性。推导检测概率表达式，数值结果显示该波形能抑制虚假目标检测，在分辨近距离目标上表现出色，提供统一波形解决方案。
AI 中文摘要
亚奈奎斯特采样是降低宽带脉冲压缩雷达硬件成本的有效方法，但会在匹配滤波器距离剖面中引入相干混叠副本，产生称为虚假目标的杂散峰值。现有调频波形在此情况下面临实际权衡：线性调频（LFM）脉冲提供紧凑距离响应，但极易检测到虚假目标；双曲线调频（HFM）脉冲抑制虚假目标，但代价是目标可分离性下降。为克服此权衡，我们提出了一种正弦与余弦之比的雅可比椭圆调频波形（SC-EFM），其中椭圆模量调整瞬时频率（IF）曲率，同时保持传统基准的脉冲持续时间和带宽。我们表征了SC-EFM的亚奈奎斯特折叠结构，并推导了多目标和虚假目标检测概率的闭式表达式。数值结果表明，SC-EFM相对于LFM显著抑制了虚假目标检测，同时匹配其目标可分离性，在分辨近距离目标方面明显优于HFM，为抗虚假目标的亚奈奎斯特多目标测距提供了统一的波形解决方案。
英文摘要
Sub-Nyquist sampling is an attractive way to reduce the hardware cost of wideband pulse-compression radar, but it introduces coherent alias-induced replicas in the matched-filter range profile, producing spurious peaks known as ghost targets. Existing frequency-modulated waveforms face a practical trade-off in this regime: linear frequency-modulated (LFM) pulses provide compact range responses but are highly susceptible to ghost-target detections, whereas hyperbolic frequency-modulated (HFM) pulses suppress ghosts at the cost of degraded target separability. To overcome this trade-off, we propose a sine-over-cosine Jacobi elliptic frequency-modulated waveform, referred to as SC-EFM, in which the elliptic modulus tunes the instantaneous-frequency (IF) curvature while preserving the pulse duration and bandwidth of conventional benchmarks. We characterize the sub-Nyquist folding structure of SC-EFM and derive closed-form expressions for the multi-target and ghost-target detection probabilities. Numerical results show that SC-EFM significantly suppresses ghost detections relative to LFM while matching its target separability, and substantially outperforms HFM in resolving close targets, providing a unified waveform solution for ghost-resilient sub-Nyquist multi-target ranging.
CommentsSubmitted to IEEE Communications Letters
