Abstract: In the face of the question of sparse aperture data imaging, a method for high resolution radar imaging based on compressed sensing in strong ground clutter using sparse stepped frequency chirp signal (SFCS) is proposed in this letter. Firstly, the zero-padding one-order canceller method is utilized to filter out the ground clutter in the signal stretching process, high resolution target echo can be acquired through second sample for the coarse resolution range profile, and then making use of the sparsity of the signal in the spectrogram, we can construct a reasonable partial fourier sparse basis matrix to realize the sparseness of radar data. Next, the high resolution range profile (HRRP) is recovered by using the orthogonal matching pursuit (OMP) algorithm, and the high resolution target imaging can be gained. Finally, simulation results validate the superiority of the approach.