Abstract. We propose a method for detecting multiple scatterers (targets) in the elevation direction for synthetic aperture radar tomography. The proposed method can resolve closely spaced targets through a two-step procedure. In the first step, coarse detection is performed with a successive cancellation scheme in which possible locations of targets are marked. Then, in the second step, by searching in the reduced search space, which is finely gridded, the accurate location of the targets is found. For estimating the actual number of targets, a model order selection scheme is used in two cases of known and unknown noise variance. Also, by analytical investigation of the probability of detection for the proposed method, the effect of the influential parameters on the detection ability is explicitly demonstrated. Compared to the super-resolution methods based on compressed sensing, the proposed method has a lower computational cost and higher estimation accuracy, especially at low signal-to-noise ratio regime. Simulation results show the superiority of the proposed method in terms of both three-dimensional scatterer reconstruction and detection ability.

中文翻译：

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相关信息辅助下合成孔径雷达层析成像中的超分辨多散射体检测

摘要。我们提出了一种用于在合成孔径雷达断层扫描的仰角方向上检测多个散射体（目标）的方法。所提出的方法可以通过两步程序来解决距离较近的目标。在第一步中，使用连续消除方案进行粗检测，其中标记了目标的可能位置。然后，在第二步中，通过在细化网格的缩小搜索空间中进行搜索，找到目标的准确位置。为了估计目标的实际数量，在已知和未知噪声方差的两种情况下使用模型顺序选择方案。此外，通过对所提出方法的检测概率的分析研究，明确证明了影响参数对检测能力的影响。与基于压缩感知的超分辨率方法相比，所提出的方法具有更低的计算成本和更高的估计精度，尤其是在低信噪比的情况下。仿真结果表明了该方法在三维散射体重建和检测能力方面的优越性。