欠采样脉冲雷达回波分段滑动重构
Segment-Sliding Reconstruction of Pulsed Radar Echoes with Sub-Nyquist Sampling
摘要：
模拟信息转换（AIC）是实现脉冲雷达回波欠采样的有效方法。然而，它往往是不切实际的，如果不是不可行的，重建全范围的奈奎斯特样本，因为巨大的存储和计算负载的要求。本文在分析AIC测量系统的基础上，提出了一种新的分段滑动重构（SegSR）方法来有效地重构奈奎斯特采样。SegSR以滑动模式执行逐段重建，并且可以实时实现。与现有方法不同的一个重要特征是，在每个段中的测量矩阵满足限制等距属性（RIP）条件。先前段中的部分支持可并入到当前段中的奈奎斯特样本的估计中。从理论上分析了相邻段引入的干扰效应，揭示了干扰由两个干扰电平组成，对信号重构性能有不同的影响。有了这些意见，一个两步的正交匹配追踪（OMP）过程中提出的段重建，它考虑到不同的干扰水平和部分已知的前一段的支持。所提出的SegSR实现了接近最佳的重建性能，显著降低了计算负载和存储需求。理论分析和仿真验证了其有效性。
英文摘要：
It has been shown that analog-to-information con- version (AIC) is an efficient scheme to perform sub-Nyquist sampling of pulsed radar echoes. However, it is often impractical, if not infeasible, to reconstruct full-range Nyquist samples because of huge storage and computational load requirements. Based on the analyses of AIC measurement system, this paper develops a novel segment-sliding reconstruction (SegSR) scheme to effectively reconstruct the Nyquist samples. The SegSR per- forms segment-by-segment reconstruction in a sliding mode and can be implemented in real-time. An important characteristic that distinguish the proposed SegSR from the existing methods is that the measurement matrix in each segment satisfies the restricted isometry property (RIP) condition. Partial support in the previous segment can be incorporated into the estimation of the Nyquist samples in the current segment. The effect of interference intro- duced from adjacent segments is theoretically analyzed, and it is revealed that the interference consists of two interference levels having different impacts to the signal reconstruction performance. With these observations, a two-step orthogonal matching pursuit (OMP) procedure is proposed for segment reconstruction, which takes into account different interference levels and partially known support of the previous segment. The proposed SegSR achieves nearly optimal reconstruction performance with a signi- ficant reduction of computational loads and storage requirements. Theoretical analyses and simulations verify its effectiveness.
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