Abstract This paper considers the coherent integration problem for Doppler-ambiguous maneuvering target. A novel method based on the product scaled periodic Lv's distribution (PSPLVD) is proposed. To be specific, the acceleration could be accurately estimated via Lv's distribution (LVD). Then, the periodic discrete Fourier transform (DFT), which periodically extends the frequency scope of DFT, is introduced to modify the LVD to estimate the unambiguous centroid frequency. Thereafter, scaling and product operations are respectively employed to eliminate the coupling and suppress the grating lobes. Finally, coherent integration is achieved after compensating off the range migration and Doppler frequency migration. Cross term analysis indicates the applicability in the scenario of multiple targets. Efficient implementation based on chirp-z transform is also presented to alleviate the computational burden and eliminate the brute force searching procedure. Detailed comparisons with several representative methods lead us to conclude that the proposed method could strike a good balance between computational cost and detection probability. Extensive simulations and real data processing results are provided to verify the proposed method.

中文翻译：

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基于乘积缩放周期Lv分布的多普勒模糊机动目标雷达相干检测

摘要 本文研究了多普勒模糊机动目标的相干积分问题。提出了一种基于乘积缩放周期Lv 分布(PSPLVD) 的新方法。具体来说，可以通过 Lv 分布 (LVD) 准确估计加速度。然后，引入周期性离散傅立叶变换 (DFT)，周期性地扩展 DFT 的频率范围，以修改 LVD 以估计明确的质心频率。此后，分别采用缩放和乘积运算来消除耦合并抑制栅瓣。最后，在补偿掉距离偏移和多普勒频率偏移后，实现相干积分。交叉项分析表明在多目标场景中的适用性。还提出了基于 chirp-z 变换的有效实现，以减轻计算负担并消除蛮力搜索过程。与几种代表性方法的详细比较使我们得出结论，所提出的方法可以在计算成本和检测概率之间取得良好的平衡。提供了大量的模拟和实际数据处理结果来验证所提出的方法。