桥梁监测信号自适应分解重构方法对比分析

Comparative analysis of adaptive decomposition and reconstruction methods for bridge monitoring signals

  • 摘要: 桥梁结构监测信号的自适应分解重构与降噪是桥梁健康监测领域的重要研究内容。为提供快捷有效的信号时频域降噪方法,针对VMD(variational mode decomposition)类处理方法存在的分解成分数量需预先确定的缺点,提出了一种自适应变分模态分解重构(adaptive variational mode decomposition and reconstruction, AVMDR)方法来执行信号降噪。通过引入EMD(empirical mode decomposition)来自适应确定分解成分数量,然后利用多尺度主成分分析对各阶成分进行降噪并重构。利用带有不同噪声水平的线性平稳、非线性非平稳模拟信号以及2座斜拉桥模型实测信号对所提方法的降噪性能进行了验证和对比分析。研究结果表明:AVMDR方法的降噪性能优于其他常用方法,各个降噪性能评价指标均为最优,且AVMDR方法在剔除噪声的同时能够更多地保留结构信息。

     

    Abstract: Adaptive decomposition, reconstruction, and denoising of bridge structure monitoring signals are critical parts in the research field of bridge health monitoring. To provide efficient and effective time-frequency domain denoising methods for these signals, an Adaptive Variational Mode Decomposition and Reconstruction (AVMDR) method was proposed for signal denoising, which can overcome the disadvantage of VMD (Variational Mode Decomposition) type methods that the number of decomposition components needs to be determined inadvance. The Empirical Mode Decomposition (EMD) method was introduced to adaptively determine the number of decomposition components, and then the Multi-scale Principal Component Analysis (MSPCA) was used to denoise each component and reconstruct the signal. The denoising performance of the proposed AVMDR method was validated and compared using both simulated signals—linear stationary and nonlinear non-stationary signals with varying noise levels—and real signals obtained from two cable-stayed model bridges. The results indicate that the AVMDR method outperforms other commonly used methods in terms of denoising performance, achieving optimal scores across all denoising performance evaluation metrics. Moreover, the AVMDR method can effectively retain more structural information while eliminating noise.

     

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