In this paper, a novel and complete derivation of the range doppler algorithm (RDA) formulation is developed for stepped frequency continuous wave (SFCW) synthetic aperture radar (SAR) usage. As the RDA has been originally developed for linear frequency modulated (LFM) pulse excited SAR data, the detailed mathematical derivation of SFCW based RDA formulation is presented with similarities, differences and additions to the traditional LFM-RDA formulation for comparison. Then, the developed SFCW-RDA was tested with simulation data and the performance of the algorithm is determined by examining some important parameters including impulse response width, peak to sidelobe ratio, integrated side lobe ratio, range resolution, and azimuth resolution. The performance metrics of the SFCW-RDA in comparison to LFM-RDA thru the constructed SAR images have proven the implementation validity of the proposed technique.

在本文中，针对步进频率连续波（SFCW）合成孔径雷达（SAR）的使用，开发了一种新颖而完整的距离多普勒算法（RDA）公式。由于RDA最初是为线性调频（LFM）脉冲激励SAR数据而开发的，因此基于SFCW的RDA公式的详细数学推导与传统LFM-RDA公式的相似性，差异和附加之处作了比较，以作比较。然后，使用仿真数据对开发的SFCW-RDA进行测试，并通过检查一些重要参数（包括脉冲响应宽度，峰对旁瓣比，集成旁瓣比，距离分辨率和方位角分辨率）来确定算法的性能。