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Aliasing-Free Moving Target Detection in Random Pulse Repetition Interval Radar Based on Compressed Sensing

机译:基于压缩传感的随机脉冲重复间隔雷达中无混叠运动目标检测

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摘要

The electronic counter-countermeasures capabilities of staggered pulse repetition interval (PRI) signal is limited by its repetitive character, and a random PRI radar is an alternative to improve the range and velocity coverage. However, the high sidelobe pedestal of the target Doppler spectrum caused by randomness prevents its development. In this paper, based on the compressed sensing theory, we present a novel framework in random PRI radar to generate the Doppler spectrum with low sidelobe for moving target detection. As a precondition, the equivalent sensing matrix is proved to satisfy the restricted isometry property by testifying its independent sub-Gaussian elements and comparing its mutual coherence as well as eigenvalues of its Gram matrices to a typical random compressed sensing matrix in a statistical sense. To cover the concerned velocity, multichannel processing is used and the iterative grid optimization algorithm is employed to eliminate the grid mismatch effect. The simulation results demonstrate that this scheme has high performance of detection and free aliasing characteristic, which can also shorten the coherent processing interval compared with traditional staggered PRI mode.
机译:交错脉冲重复间隔(PRI)信号的电子对抗能力受其重复特性的限制,而随机PRI雷达是提高距离和速度覆盖范围的替代方法。然而,由随机性引起的目标多普勒频谱的高旁瓣基座阻碍了其发展。在本文中,基于压缩感知理论,我们提出了一种新的随机PRI雷达框架,以生成具有低旁瓣的多普勒频谱用于运动目标检测。作为前提,通过证明其等效的受限等距特性,可以证明其等效的次高斯元素,并在统计意义上将其互相关性以及其Gram矩阵的特征值与典型的随机压缩传感矩阵进行比较。为了覆盖相关速度,使用了多通道处理,并采用了迭代网格优化算法来消除网格失配效应。仿真结果表明,该方案具有较高的检测性能和自由混叠特性,与传统的交错式PRI模式相比,还可以缩短相干时间。

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