Abstract: Aiming at the deficiency of micro-Doppler history of ballistic target caused by shielding effects, a novel method is proposed to recover the micro-Doppler history based on Compressed Sensing theory. Firstly, the mathematic model of sliding scatters of processing target is built and the micro-Doppler characteristic is analyzed; secondly, whether the scatter is effective in different witness view is researched and the influence of shielding effects on each scatter is analyzed; next, according to the incomplete micro-Doppler history witnessed, an observation matrix in the framework of Compressed Sensing is designed and the SP(Subspace Pursuits) algorithm is applied to recover the micro-Doppler history; finally, simulation experiment shows the influence of shielding effects on the micro-Doppler history and proves the recovery algorithm is effective.