论文标题
基于大规模振动信号分析的下采样的快速实施同步转换
Fast implementation of synchrosqueezing transform based on downsampling for large-scale vibration signal analysis
论文作者
论文摘要
同步Queezing Transform（SST）是振动信号分析的有用工具，这是由于其较高的时间频率（TF）浓度和重建特性。但是，现有的SST需要大量的大规模数据处理时间。在本文中，提出了一些基于下采样的短期傅立叶变换（STFT）的SST的快速实现方法。通过控制时间和频率的下采样因子，再加上提出的选择性重新分配和频率细分方案，可以根据实际需求在效率和准确性之间保持平衡。此外，可用重建属性可用，这是通过下采样下的近似但直接的反向公式来完成的。还对参数对浓度，计算效率和重建精度的影响进行了定量研究，然后是具有顽固因素的重新分配行为的数学模型。对航空引擎和主轴的实验结果表明，SST的快速实施可以有效地表征大型振动信号的非平稳特征，以揭示机械系统的机制。
Synchrosqueezing transform (SST) is a useful tool for vibration signal analysis due to its high time-frequency (TF) concentration and reconstruction properties. However, existing SST requires much processing time for large-scale data. In this paper, some fast implementation methods of SST based on downsampled short-time Fourier transform (STFT) are proposed. By controlling the downsampling factor both in time and frequency, combined with the proposed selective reassignment and frequency subdivision scheme, one can keep a balance between efficiency and accuracy according to practical needs. Moreover, the reconstruction property is available, accomplished by an approximate but direct inverse formula under downsampling. The effects of parameters on the concentration, computing efficiency, and reconstruction accuracy are also investigated quantitatively, followed by a mathematic model of reassignment behavior with decimate factors. Experimental results on an aero-engine and a spindle show that the fast implementation of SST can effectively characterize the non-stationary characteristics of the large-scale vibration signal to reveal the mechanism of mechanical systems.
