基于下采样的同步压缩变换在大规模振动信号分析中的快速实现
Fast implementation of synchrosqueezing transform based on downsampling for large-scale vibration signal analysis
摘要：
同步压缩变换（SST）具有良好的时频集中性和重构性，是振动信号分析的有力工具。然而，现有的SST需要大量的大规模数据的处理时间。提出了基于下采样短时傅里叶变换（STFT）的SST快速实现方法。通过在时间和频率上控制下采样因子，结合所提出的选择性重新分配和频率细分方案，可以根据实际需要在效率和精度之间保持平衡。此外，重建属性是可用的，通过下采样下的近似但直接的逆公式来实现。定量地研究了参数对浓度、计算效率和重建精度的影响，建立了具有抽取因子的重分配行为的数学模型。在航空发动机和主轴上的实验结果表明，SST的快速实现可以有效地表征大尺度振动信号的非平稳特性，揭示机械系统的机理。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
