基于Prony算法的大型结构振动信号降噪方法

Research of the Large Structure Vibration Signals Noise-eliminating Method Based on the Prony Algorithm

以去除力锤激励下大型结构振动信号的背景噪声为研究目的，分析了背景噪声产生的原因及结构振动信号的特点，提出了将Prony算法应用于降噪的方法。该方法首先用一组衰减余弦信号分量之和来拟合原始信号，得出各衰减余弦信号的参数，然后根据振动信号的特点从中识别出背景噪声并构造其数学表达式，最后进行降噪处理。运用传统Prony算法和改进Prony算法分别对仿真信号和实测信号进行降噪处理，其结果证明了Prony算法的有效性，且改进的Prony算法具有更高的识别精度和更好的降噪效果。

For the purpose of eliminating the background noise from the large structure vibration response signals which are generated by hammer excitation, the reason of background noise and the features of vibration signals is analyzed and an noise eliminating method based on Prony algorithm is presented. Firstly, the summation of a set of cosine attenuation signals is used to fit the original signal, and the parameters of cosine attenuation signals worked out, then the background noise is identified and its expression is constructed, and the background noise is eliminated in the end. In this paper, through the processing of the simulation signals and practical signals by using the traditional Prony algorithm and improved Prony algorithm, it is shown that the veracity of the Prony algorithm is verified, and the improved Prony algorithm is more effective.