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To resolve the problem of fast-moving target detection and imaging in Frequency Modulated Continuous Wave SAR (FMCW-SAR), a new method of moving target detection and imaging in double-channel FMCW-SAR is presented in this paper. Considering the inherent characteristics of FMCW, the stationary clutter is eliminated and moving targets are detected by combining the Doppler frequency shift compensation with Displaced Phase Center Antenna (DPCA) technology. To solve the problem of fast-moving targets defocus and Doppler spectrum split, one method combining the Keystone transform with azimuth deramp is presented to refocus fast-moving targets. Finally, simulation results are provided to demonstrate the effectiveness and feasibility of the proposed method.