论文标题
使用压缩传感的频率敏捷雷达的相变
Phase Transitions in Frequency Agile Radar Using Compressed Sensing
论文作者
论文摘要
在复杂的电磁环境下，FAR在传统的脉搏多普勒雷达上改善了抗骨干性能。为了重建远处的范围多普勒信息，已经应用了许多压缩传感（CS）方法（CS）方法。在本文中，我们研究了使用CS的范围多普勒恢复的相变。特别是，我们基于实际高斯矩阵下的标准稀疏恢复的先前结果，得出了与块稀疏恢复和复杂高斯矩阵相关的封闭形式的相变曲线。我们进一步近似于雷达和目标参数的基本功能所获得的曲线，从而促进了这些曲线的实际应用。我们的结果表明，当目标占据多个范围单元时，稀疏恢复的表现超过标准对应物，通常称为扩展目标。模拟验证了这些曲线的可用性及其近似值，从而使雷达参数的设计受益。
FAR has improved anti-jamming performance over traditional pulse-Doppler radars under complex electromagnetic circumstances. To reconstruct the range-Doppler information in FAR, many compressed sensing (CS) methods including standard and block sparse recovery have been applied. In this paper, we study phase transitions of range-Doppler recovery in FAR using CS. In particular, we derive closed-form phase transition curves associated with block sparse recovery and complex Gaussian matrices, based on prior results of standard sparse recovery under real Gaussian matrices. We further approximate the obtained curves with elementary functions of radar and target parameters, facilitating practical applications of these curves. Our results indicate that block sparse recovery outperforms the standard counterpart when targets occupy more than one range cell, which are often referred to as extended targets. Simulations validate the availability of these curves and their approximations in FAR, which benefit the design of the radar parameters.
