Abstract: In Synthetic Aperture Radar (SAR) systems, imaging algorithms based on 1-bit have a great advantage because the echo’s SNR is generally not high. However, those algorithms often require more time than the match filter strategy. A segmented method based on 1-bit compressed sensing was proposed for reducing reconstruction time. Simulation experiments verify the effectiveness of the proposed algorithm. This method can not only reduce time consumption, but also the required memory size. The stepped-frequency waveform is selected not only because it can make sampling easier than other waveforms, but also because it takes less time to recover the same scene when the stepped-frequency waveform is used instead of linear frequency modulation (LFM) waveform.