基于原子范数最小化的一维距离像散射中心估计

雷达高分辨距离像（HRRP）体现了目标散射中心在视线方向分布的结构特征，在雷达自动目标识别领域具有重要的应用价值。本文提出了一种基于原子范数最小化的HRRP散射中心估计方法，该方法将HRRP的频谱近似表示为多个复正弦信号的叠加。复正弦信号的幅度对应散射中心的强度，频率则对应其位置。此估计方法直接在连续的位置空间进行求解散射中心的位置与强度，无需对散射中心的位置进行离散化处理，有效的避免了基不匹配的问题。与此同时，该方法也不需要已知散射中心的数量，而且对噪声较为鲁棒。仿真数据处理结果验证了该方法的有效性。 

Scattering Center Estimation of HRRP via Atomic Norm Minimization

Radar high range resolution profile (HRRP) represents the distribution of the scattering centers on targets along the radar line of sight, which can reflect the structural features of the targets and thus it is widely applied in radar automatic target recognition. This paper proposes a scattering center estimation method via atomic norm minimization. This method approximately model the spectrum of HRRP with the combination of several complex sine signals, in which the amplitude of the complex sine signals corresponds to the intensity of the scattering centers while the frequency corresponds to the position of the scattering centers. This methods directly operates in continuous position space instead of in the discrete position space, which alleviates the basis mismatch effectively. Meanwhile, it does not need the number of scattering centers as priori information and has good robustness to noise. The simulation results demonstrate the effectiveness of this method.