The key of ballistic missile recognition by micro-Doppler is to extract micro-Dopper from wideband radar echo signal. It is the high-speed sampling that results in higher demand of hardware and algorithm. The compressive sensing theory is applied to the extraction of micro-Doppler from wideband radar echo signal. The micro-Doppler formula of ballistic missile targets is derived, and the method of extracting micro-Doppler from wideband radar echo signal Via compressive sensing is improved. The micro-Doppler extracted from the radar echo of ballistic missile targets by means of compressive sensing under low sample frequency is consistent in that extracted by Gabor transform under high-speed sample frequency, which means the method of extracting micro-Dopple based on compressive sensing which can debase the sampling of the ballistic missile radar ecoh and lower the difficulty of actualization is feasible and effective.%利用微多普勒识别弹道目标的关键是宽带雷达回波信号的微多普勒提取。宽带雷达回波信号的高速采样对硬件和算法提出了更高的要求。将压缩感知方法应用到宽带雷达回波信号的微多普勒提取中，并给出了弹道导弹目标的微多普勒计算公式和利用压缩感知重构弹道导弹微多普勒的方法。在低采样频率下利用压缩感知理论从回波信号中提取的微多普勒，与在高采样频率下利用Gabor变换提取的微多普勒是一致的，这表明利用压缩感知理论以低频率采样弹道导弹回波信号，提取微多普勒，降低工程实现难度的方法是可行的、有效的。
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