基于小波降噪和最小二乘的加速度计参数辨识
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摘要
为了降低加速度计比较法冲击激励校准中,噪声对其动态模型辨识精度的影响,提出一种基于小波降噪和最小二乘的加速度计动态模型参数频域辨识方法。该方法首先利用改进的小波阈值降噪方法对参考加速度计和被校加速度计的输出信号进行降噪,然后利用最小二乘的方法对谐振频率附近的频率响应函数进行加速度计动态模型频域参数辨识。仿真实验和加速度计比较法冲击激励校准实验表明:该方法能够有效减少噪声对频率响应函数的影响,提高加速度计动态模型参数辨识精度。
In order to reduce influence of noise on its dynamic model identification precision,a method of frequency domain identification of dynamic model parameters of accelerometers based on wavelet denoising and least squares is proposed. This method first uses the improved wavelet threshold denoising method to reduce the noise of the reference accelerometer and the output signal of the calibrated accelerometer,and then uses the least square method to identify the frequency response function near the resonant frequency of the accelerometer dynamic model in the frequency domain of the accelerometer. The simulation experiment and the accelerometer comparison method impact excitation calibration experiment show that the method can effectively reduce influence of noise on frequency response function and improve the precision of accelerometer dynamic model parameter identification.
In order to reduce influence of noise on its dynamic model identification precision,a method of frequency domain identification of dynamic model parameters of accelerometers based on wavelet denoising and least squares is proposed. This method first uses the improved wavelet threshold denoising method to reduce the noise of the reference accelerometer and the output signal of the calibrated accelerometer,and then uses the least square method to identify the frequency response function near the resonant frequency of the accelerometer dynamic model in the frequency domain of the accelerometer. The simulation experiment and the accelerometer comparison method impact excitation calibration experiment show that the method can effectively reduce influence of noise on frequency response function and improve the precision of accelerometer dynamic model parameter identification.
引文
[1]孙桥,于梅.绝对法冲击校准技术的发展现状及研究[J].计量技术,2005(3):41-43.
[2]胡红波,孙桥,黄宇中.不同冲击激励系统绝对法冲击校准比对可行性的研究[J].振动与冲击,2012,31(20):27-31.
[3]林劲,薛新法,刘维瑾.用比较法和冲击力法校准加速度计[J].计量技术,1981(12):11-14.
[4] FARGE M. Wavelet transform and their application to turbulence[J]. Annu Rev Fluid Mech,1992,56(4):68-68.
[5] CALLAWAY D S,NEWMAN M E J,STROGATZ S H,et al. Network robustness and fragility:Percolation on random graphs.[J].Physical Review Letters,2000,85(25):54-68.
[6]李红延,周云龙,田峰,等.一种新的小波自适应阈值函数振动信号去噪算法[J].仪器仪表学报,2015,36(10):2200-2206.
[7]苏立,南海鹏,余向阳,等.基于改进阈值函数的小波降噪分析在水电机组振动信号中的应用[J].水力发电学报,2012,31(3):246-251.
[8]秦毅,王家序,毛永芳.基于软阈值和小波模极大值重构的信号降噪[J].振动、测试与诊断,2011,31(5):543-547.
[9]贾毅婷,张东来,张斌.基于小波尺度相关性的暂态数据降噪压缩方法[J].电力系统自动化,2013,37(5):68-73.
[10] DONOHO D L. De-noising by soft-thresholding[J]. IEEE Transactions on Information Theory,2002,41(3):613-627.
[11]周涛涛,朱显明,彭伟才,等.基于CEEMD和排列熵的故障数据小波阈值降噪方法[J].振动与冲击,2015,34(23):207-211.
[12] LIU H,WANG W,XIANG C,et al. A de-noising method using the improved wavelet threshold function based on noise variance estimation[J]. Mechanical Systems&Signal Processing,2018,99:30-46.
[13]胡红波,孙桥.基于绝对法冲击校准的加速度计参数辨识研究[J].测试技术学报,2013,27(1):19-24.
[14]孙桥,于梅.比较法相位型振动校准系统的研究和实现[J].计量学报,2005(2):142-145,154.
[15]林劲,薛新法,刘维瑾.用比较法和冲击力法校准加速度计[J].计量技术,1981(12):11-14.
[16]胡红波,于梅.基于冲击激励的加速度计动态特性的校准与补偿[J].计量技术,2016(1):39-42.
[17]高贤志,蒋效雄,陈伟,等.一种基于半参数回归的加速度计误差模型辨识方法[J].中国惯性技术学报,2012,20(3):352-357.
[18]马增强,谷朝健,王建东.基于互相关函数的滚动轴承故障诊断方法研究[J].应用基础与工程科学学报,2017(3):646-655.
[2]胡红波,孙桥,黄宇中.不同冲击激励系统绝对法冲击校准比对可行性的研究[J].振动与冲击,2012,31(20):27-31.
[3]林劲,薛新法,刘维瑾.用比较法和冲击力法校准加速度计[J].计量技术,1981(12):11-14.
[4] FARGE M. Wavelet transform and their application to turbulence[J]. Annu Rev Fluid Mech,1992,56(4):68-68.
[5] CALLAWAY D S,NEWMAN M E J,STROGATZ S H,et al. Network robustness and fragility:Percolation on random graphs.[J].Physical Review Letters,2000,85(25):54-68.
[6]李红延,周云龙,田峰,等.一种新的小波自适应阈值函数振动信号去噪算法[J].仪器仪表学报,2015,36(10):2200-2206.
[7]苏立,南海鹏,余向阳,等.基于改进阈值函数的小波降噪分析在水电机组振动信号中的应用[J].水力发电学报,2012,31(3):246-251.
[8]秦毅,王家序,毛永芳.基于软阈值和小波模极大值重构的信号降噪[J].振动、测试与诊断,2011,31(5):543-547.
[9]贾毅婷,张东来,张斌.基于小波尺度相关性的暂态数据降噪压缩方法[J].电力系统自动化,2013,37(5):68-73.
[10] DONOHO D L. De-noising by soft-thresholding[J]. IEEE Transactions on Information Theory,2002,41(3):613-627.
[11]周涛涛,朱显明,彭伟才,等.基于CEEMD和排列熵的故障数据小波阈值降噪方法[J].振动与冲击,2015,34(23):207-211.
[12] LIU H,WANG W,XIANG C,et al. A de-noising method using the improved wavelet threshold function based on noise variance estimation[J]. Mechanical Systems&Signal Processing,2018,99:30-46.
[13]胡红波,孙桥.基于绝对法冲击校准的加速度计参数辨识研究[J].测试技术学报,2013,27(1):19-24.
[14]孙桥,于梅.比较法相位型振动校准系统的研究和实现[J].计量学报,2005(2):142-145,154.
[15]林劲,薛新法,刘维瑾.用比较法和冲击力法校准加速度计[J].计量技术,1981(12):11-14.
[16]胡红波,于梅.基于冲击激励的加速度计动态特性的校准与补偿[J].计量技术,2016(1):39-42.
[17]高贤志,蒋效雄,陈伟,等.一种基于半参数回归的加速度计误差模型辨识方法[J].中国惯性技术学报,2012,20(3):352-357.
[18]马增强,谷朝健,王建东.基于互相关函数的滚动轴承故障诊断方法研究[J].应用基础与工程科学学报,2017(3):646-655.