基于相位结构的PFA波前弯曲误差补偿

    Phase-Structure-Based Compensation of PFA Wavefront Curvature Error

    • 摘要: 针对高分辨率斜视聚束合成孔径雷达(Synthetic Aperture Radar, SAR)成像中极坐标格式算法(Polar Format Algorithm, PFA)受平面波前近似限制而产生波前弯曲误差的问题,提出一种基于相位结构映射的波前弯曲误差补偿方法。首先,建立斜视模式下UAV-SAR数据采集几何模型,推导PFA距离向重采样和方位向重采样后的二维空间频域相位表达式,获得波前弯曲误差模型。其次,分析二维相位误差在不同距离空间频率之间的结构关系,利用参考距离频点处的方位向相位误差映射完整二维相位误差,从而降低二维补偿滤波器的直接构造复杂度。在此基础上,构造全额波前弯曲误差空变补偿滤波器,并将局部散焦补偿与整幅图像几何失真校正相分离,以提高不同空间位置目标的补偿精度。仿真实验结果表明,相较于传统二阶SVPF(二次相位补偿)方法,所提方法能够抑制斜视聚束SAR图像中场景边缘目标的残余散焦,进一步利用无人机载毫米波雷达开展停机坪实测成像,结果验证了该方法在实际复杂场景中对边缘区域清晰度和整体几何保真度的改善能力,可为近距离、高分辨率斜视SAR成像中场景边缘目标聚焦改善和PFA有效聚焦范围扩展提供参考。

       

      Abstract: To address the wavefront curvature error (WCE) induced by the plane-wave approximation in the polar format algorithm (PFA) for high-resolution squinted spotlight synthetic aperture radar (SAR) imaging, this paper proposes a phase-structure-mapping-based full-error compensation method. First, a geometric model for UAV-SAR data acquisition in squinted mode is established, and the two-dimensional spatial-frequency-domain phase expressions after range and azimuth resampling are derived to formulate the WCE model. Then, the structural relationship of the two-dimensional phase error across range spatial frequencies is analyzed. By mapping the azimuth phase error at a reference range frequency point to the complete 2D phase error, the complexity of directly constructing a 2D compensation filter is reduced. On this basis, a spatially variant full-WCE compensation filter is constructed, and local defocus compensation is decoupled from global geometric distortion correction to improve the accuracy for targets at different spatial positions. Simulation results on a point-target array demonstrate that the proposed method effectively suppresses residual defocusing at scene edges, outperforming the conventional second-order SVPF (quadratic phase compensation) in both focusing quality and geometric consistency. Furthermore, a field experiment conducted over a tarmac scene using a UAV-borne millimeter-wave radar demonstrates that the proposed method improves the clarity of edge regions and preserves the geometric consistency of the reconstructed scene, confirming its feasibility for practical SAR imaging.

       

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