The Wigner-Ville distribution （WVD） and the cross Wigner-Ville distribution （XWVD） have been shown to be efficient in the estimation of instantaneous frequency （IF）. But the statistical result of the IF estimati...The Wigner-Ville distribution （WVD） and the cross Wigner-Ville distribution （XWVD） have been shown to be efficient in the estimation of instantaneous frequency （IF）. But the statistical result of the IF estimation from XWVD peak is much better than using WVD peak. The reason is given from a statistical point of view. Theoretical studies show that XWVD of the analyzed signal can be estimated from XWVD of the noise-contaminated signal. The estimation is unbiased, and the variance is equal to that of noise. In this case, WVD cannot be estimated from W-VD of the noise-contaminated signal. Therefore, higher SNR is required when WVD is used to analyze signals.展开更多
To detect higher order polynomial phase signals （HOPPSs）, the smoothed-pseudo polynomial Wigner-Ville distribution （SP-PVCVD）, an improved version of the polynomial Wigner-Ville distribution （PVCVD）, is presente...To detect higher order polynomial phase signals （HOPPSs）, the smoothed-pseudo polynomial Wigner-Ville distribution （SP-PVCVD）, an improved version of the polynomial Wigner-Ville distribution （PVCVD）, is presented using a separable kernel. By adjusting the lengths of the functions in the kernel, the balance between resolution retaining and interference suppressing can be adjusted conveniently. The proposed method with merits of interference terms reduction and noise suppression can provide time frequency representation of better readability and more accurate instantaneous frequency （IF） estimation with higher order SP-PVfVD. The performance of the SP-PWVD is verified by computer simulations.展开更多
大型旋转机械的转子运动是一空间运动。转子故障在发生或发展时,其运行过程具有明显非平稳特性的瞬态过程。通常针对单通道信息的时频分析并不能全面提取瞬态过程的特征信息。结合空间域矢谱(Vector-spectrum in space-domain)分析和Wig...大型旋转机械的转子运动是一空间运动。转子故障在发生或发展时,其运行过程具有明显非平稳特性的瞬态过程。通常针对单通道信息的时频分析并不能全面提取瞬态过程的特征信息。结合空间域矢谱(Vector-spectrum in space-domain)分析和Wigner-Ville分布(Wigner-Ville Distribution,WVD)技术提出了空间域矢Wigner-Ville分布分析方法。它融合了转子同截面三通道图谱中各自存在的振动分量,能全面、准确地反映转子发生故障时的瞬态过程特征量变化。工程实践应用表明:空间域矢Wigner-Ville分布分析对于旋转机械故障诊断是一种新的、较为实用的信息融合方法。展开更多
基金the National Natural Science Foundation of China (60472102)Shanghai Leading Academic Discipline Project (T0103)the Foundation of Shanghai Municipal Commission of Education (A10-0109-06-022)
文摘The Wigner-Ville distribution （WVD） and the cross Wigner-Ville distribution （XWVD） have been shown to be efficient in the estimation of instantaneous frequency （IF）. But the statistical result of the IF estimation from XWVD peak is much better than using WVD peak. The reason is given from a statistical point of view. Theoretical studies show that XWVD of the analyzed signal can be estimated from XWVD of the noise-contaminated signal. The estimation is unbiased, and the variance is equal to that of noise. In this case, WVD cannot be estimated from W-VD of the noise-contaminated signal. Therefore, higher SNR is required when WVD is used to analyze signals.
基金supported partly by the Program for New Century Excellent Talents in University, Ministry of Education,China(NCET-05-0803)supported by Information Controlling Technology of Communication System National Key Laboratory(9140C1301020801).
文摘To detect higher order polynomial phase signals （HOPPSs）, the smoothed-pseudo polynomial Wigner-Ville distribution （SP-PVCVD）, an improved version of the polynomial Wigner-Ville distribution （PVCVD）, is presented using a separable kernel. By adjusting the lengths of the functions in the kernel, the balance between resolution retaining and interference suppressing can be adjusted conveniently. The proposed method with merits of interference terms reduction and noise suppression can provide time frequency representation of better readability and more accurate instantaneous frequency （IF） estimation with higher order SP-PVfVD. The performance of the SP-PWVD is verified by computer simulations.
文摘大型旋转机械的转子运动是一空间运动。转子故障在发生或发展时,其运行过程具有明显非平稳特性的瞬态过程。通常针对单通道信息的时频分析并不能全面提取瞬态过程的特征信息。结合空间域矢谱(Vector-spectrum in space-domain)分析和Wigner-Ville分布(Wigner-Ville Distribution,WVD)技术提出了空间域矢Wigner-Ville分布分析方法。它融合了转子同截面三通道图谱中各自存在的振动分量,能全面、准确地反映转子发生故障时的瞬态过程特征量变化。工程实践应用表明:空间域矢Wigner-Ville分布分析对于旋转机械故障诊断是一种新的、较为实用的信息融合方法。
