首页|改进停止阈值准则的振动信号降噪方法研究

改进停止阈值准则的振动信号降噪方法研究

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在使用压缩感知理论解决振动信号的降噪问题时,信号重构阶段使用最多的是正交匹配追踪算法,如果该算法的迭代停止阈值选取不当,迭代误差的循环将会导致重构误差增大,降噪性能会下降。提出一种基于改进停止阈值准则的降噪方法,利用离散余弦变换得到完备字典矩阵,对振动信号进行稀疏表示,得到稀疏系数向量;然后用正态分布检验稀疏系数是否服从正态分布,利用3σ准则计算得到停止阈值;最后在求解最小二乘解的步骤之后添加筛选判断条件与迭代停止阈值。仿真定义信号和实测振动信号的降噪分析结果表明:此改进方法可将信噪比(SNR)为-1。025 7 dB强噪声背景信号的信噪比提升到2。054 9 dB。此方法在信噪比、均方差根等降噪性能指标上均优于SP、OMP、SWOMP三种降噪方法。
Vibration Signal Noise Reduction Method with Improved Stopping Threshold Value Criterion
When the compressed sensing theory is used to solve the noise reduction problem of vibration signal,the orthogonal matching pursuit algorithm is most used in the signal reconstruction stage.If the iteration stop threshold of the algorithm is not properly selected,the cycle of iteration error will lead to the increase of reconstruction error and the decline of noise reduction performance.Therefore,a noise reduction method was proposed to improve the stopping threshold criterion.The discrete cosine transform was used to obtain the complete dictionary matrix,and the sparse coefficient vector was obtained by sparse representation of vibration signal.Then the normal distribution was used to test whether the sparsity coefficient obeyed the normal distribution,and the stopping threshold was cal-culated by using the 3σ criterion.Finally,the screening condition and iteration stopping threshold were added after the step of solving the least squares solution.The noise reduction analysis results of simulated defined signal and measured vibration signal show that the im-proved method can improve the signal to noise ratio(SNR)of strong noise background signal from-1.025 7 dB to 2.054 9 dB.The proposed method is superior to SP,OMP and SWOMP in terms of noise reduction performance indicators such as SNR and root mean square error.

vibration signal noise reductioncompressed sensingtermination threshold valueorthogonal matching pursuit algorithm

杨坤、王桂宝、王楠、王磊、李一飞

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陕西理工大学机械工程学院,陕西汉中 723001

陕西省工业自动化重点实验室,陕西汉中 723001

振动信号降噪 压缩感知 终止阈值 正交匹配追踪算法

国家自然科学基金陕西省重点研发计划陕西省重点研发计划陕西交通科技项目

619722392020GY-0242021GY-18222-19X

2024

机床与液压
中国机械工程学会 广州机械科学研究院有限公司

机床与液压

CSTPCD北大核心
影响因子:0.32
ISSN:1001-3881
年,卷(期):2024.52(1)
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