A mathematical model of the resonance demodulation technology is put forward. The model provides the theoretical basis for the use of the technology to extract the weensy impulse signal from the normal low-frequency vibrating signal. 提出共振解调技术的数学模型,求解数学模型的脉冲响应,为该技术在正常低频振动中提取所夹带的微小冲击的应用提供了理论依据。