In this paper, a comprehensive form of the range migration algorithm (RMA) is analytically derived for reconstructing the reflectivity function using synthetic aperture imaging techniques. Specifically, amplitude compensation, in addition to the typical phase compensation, is included in the development of the matched filter of the RMA, with the result herein referred to as the amplitude compensated RMA (AC-RMA). To illustrate the improvements offered by the AC-RMA, simulation and measurement (at Ka-band, 26.5 – 40 GHz) are performed to reconstruct the reflectivity function of a target using both RMA and AC-RMA algorithms. The results prove that the AC-RMA is a robust algorithm that can successfully reconstruct the reflectivity function of a target with higher accuracy, regardless of its dielectric properties, including scenarios with low contrast between the dielectric properties of the background and target in the presence of noise. This approach is also independent of the bandwidth of the imaging system and is applicable to multilayer media as well. In addition, while the formulation of the AC-RMA is more complicated than the traditional (phase compensation only) RMA, the processing time necessary for images created with the AC-RMA is just 1.2 times greater than that of the traditional RMA processing time.

中文翻译：

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一种全面的双静态幅度补偿距离偏移算法 (AC-RMA)

在本文中，距离偏移算法 (RMA) 的综合形式被解析导出，用于使用合成孔径成像技术重建反射率函数。具体而言，除了典型的相位补偿之外，幅度补偿还包括在 RMA 匹配滤波器的开发中，其结果在此被称为幅度补偿 RMA (AC-RMA)。为了说明 AC-RMA 提供的改进，执行模拟和测量（在 Ka 频段，26.5 – 40 GHz）以​​使用 RMA 和 AC-RMA 算法重建目标的反射率函数。结果证明 AC-RMA 是一种鲁棒的算法，可以成功地以更高的精度重建目标的反射率函数，而不管其介电特性如何，包括在存在噪声的情况下背景和目标的介电特性之间具有低对比度的场景。这种方法也与成像系统的带宽无关，也适用于多层介质。此外，虽然 AC-RMA 的公式比传统（仅相位补偿）RMA 更复杂，但使用 AC-RMA 创建的图像所需的处理时间仅是传统 RMA 处理时间的 1.2 倍。