改进小波阈值函数的HRG振动信号去噪研究
|
摘要
为了有效解决振动对半球谐振陀螺仪(HRG)导航精度的影响,采用小波阈值去噪算法对HRG振动信号进行了去噪研究,并针对经典的硬阈值函数和软阈值函数的不足进行了改进,改进得到了一种参数可调的阈值函数,弥补了硬阈值函数和软阈值函数在去噪中的不足。通过仿真数据以及HRG实测振动数据验证,证明了改进阈值函数的有效性和优越性。
To solve the influence of vibration on the hemispherical resonator gyro( HRG) navigation accuracy,the wavelet threshold de-noising algorithm is used to study HRG vibration signal. Aiming at the shortcomings of classical hard threshold function and soft threshold function,a threshold function with adjustable parameters is obtained,which makes up the deficiency of hard threshold function and soft threshold function in de-noising. The validity and superiority of the threshold function are proved by the simulation data and the verification of the measured vibration data of HRG.
To solve the influence of vibration on the hemispherical resonator gyro( HRG) navigation accuracy,the wavelet threshold de-noising algorithm is used to study HRG vibration signal. Aiming at the shortcomings of classical hard threshold function and soft threshold function,a threshold function with adjustable parameters is obtained,which makes up the deficiency of hard threshold function and soft threshold function in de-noising. The validity and superiority of the threshold function are proved by the simulation data and the verification of the measured vibration data of HRG.
引文
[1]王巍.新型惯性技术发展及在宇航领域的应用[J].红外与激光工程,2016,45(3):1-6.WANG Wei.Development of New Inertial Technology and Its Application in Aerospace Field[J].Infrared and Laser Engineering,2016,45(3):1-6.
[2]冯培德.论混合式惯性导航系统[J].中国惯性技术学报,2016,24(3):281-284.FENG Pei-de.On Hybrid Inertial Navigation Systems[J].Journal of Chinese Inertial Technology,2016,24(3):281-284.
[3]段振雨.MEMS捷联式惯性导航系统振动控制[D].北京:中国科学院大学,2016.DUAN Zhen-yu.Vibration Control of MEMS Strapdown Inertial Navigation System[D].Beijing:University of Chinese Academy of Sciences,2016.
[4]李晓波,吴斌,董程,等.捷联惯导减振系统的耦合振动研究[J].装备环境工程,2014,11(2):43-49.LI Xiao-bo,WU Bin,DONG Cheng,et al.Research on Coupled Vibration of Strapdown INS Damping System[J].Equipment Environmental Engineering,2014,11(2):43-49.
[5]王平,张广鹏,尉飞,等.轻量化惯导系统振动响应分析与减振器优化[J].仪器仪表学报,2016,37(8):1898-1905.WANG Ping,ZHANG Guang-peng,WEI Fei,et al.Vibration Response Analysis of Lightweight INS and Optimization of Vibration Absorber[J].Chinese Journal of Scientific Instrument,2016,37(8):1898-1905.
[6]张天祥,黄小欣.基于Matlab实现小波阈值去噪的图像处理方法[J].现代电子技术,2013,36(5):103-105.ZHANG Tian-xiang,HUANG Xiao-xin.Realization of Wavelet Threshold Denoising Method Based on Matlab for Image Processing[J].Modern Electronics Technique,2013,36(5):103-105.
[7]王宏强,尚春阳,高瑞鹏,等.基于小波系数变换的小波阈值去噪算法改进[J].振动与冲击,2011,30(10):165-168.WANG Hong-qiang,SHANG Chun-yang,GAO Ruipeng,et al.An Improvement of Wavelet Shrinkage Denoising via Wavelet Coefficient Transformation[J].Journal of Vibration and Shock,2011,30(10):165-168.
[8]刘晓光,胡静涛,高雷,等.基于改进小波阈值的微机械陀螺去噪方法[J].中国惯性技术学报,2014,22(2):233-236.LIU Xiao-guang,HU Jing-tao,GAO Lei,et al.Micro Mechanical Gyro Denoising Method Based on Improved Wavelet Threshold[J].Journal of Chinese Inertial Technology,2014,22(2):233-236.
[9]金宝龙,李辉,赵乃杰,等.一种新的小波阈值去噪算法[J].弹箭与制导学报,2011,31(1):167-169.JIN Bao-long,LI Hui,ZHAO Nai-jie.A De-Nosing Algorithm of Wavelet Threshold Based on a New Threshold Function[J].Journal of Projectiles,Rocket,Missiles and Guidance,2011,31(1):167-169.
[10]LU Jing-yi,LIN Hong,YE Dong,et al.A New Wavelet Threshold Function and Denoising Application[J].Mathematical Problems in Engineering,2016,2016(3):1-8.
[11]SADOOGHI M S,KHADEM S E.A New Performance Evaluation Scheme for Jet Engine Vibration Signal Denoising[J].Mechanical Systems&Signal Processing,2016,76-77:201-212.
[12]SRIVASTAVA M,ANDERSON C L,FREED J H.A New Wavelet Denoising Method for Selecting Decomposition Levels and Noise Thresholds[J].IEEE Access Practical Innovations Open Solutions,2016(4):3862.
[13]BREIMAN L.Better Subset Regression Using the Nonnegative Garrote[M].American Society for Quality Control and American Statistical Association,1995.
[14]沙磊,任超.改进的Garrote阈值法去噪的研究[J].工程勘察,2010,38(7):57-60.SHA Lei,REN Chao.Research on Improved Garrote Threshold De-Noising Method[J].Geotechnical Investigation&Surveying,2010,38(7):57-60.
[15]张婷婷,杨洁明.基于改进小波域阈值法的平移不变振动信号去噪[J].机电工程,2009,26(6):65-67.ZHANG Ting-ting,YANG Jie-ming.Translation-Invariant Denoising of Signal Based on Improved Wavelet Domain Threshold Method[J].Mechanical&Electrical Engineering Magazine,2009,26(6):65-67.
[16]姬忠校.光纤陀螺性能改善技术研究[D].西安:中国科学院,2011.JI Zhong-xiao.Studies on the Technique of the Fiber-Optic Gyroscope for Improving Performance[D].Xi'an:Chinese Academy of Sciences,2011.
[17]朱占辉,张友妮,汪立新,等.基于Allan方差改进阈值的惯性传感器动态信号小波去噪[J].传感技术学报,2016,29(11):1718-1723.ZHU Zhan-hui,ZHANG You-ni,WANG Li-xin,et el.Wavelet De-Noising of Inertial Sensor Dynamic Signal Based on Improvement Threshold with Allan Variance[J].Chinese Journal of Sensors and Actuators,2016,29(11):1718-1723.
[2]冯培德.论混合式惯性导航系统[J].中国惯性技术学报,2016,24(3):281-284.FENG Pei-de.On Hybrid Inertial Navigation Systems[J].Journal of Chinese Inertial Technology,2016,24(3):281-284.
[3]段振雨.MEMS捷联式惯性导航系统振动控制[D].北京:中国科学院大学,2016.DUAN Zhen-yu.Vibration Control of MEMS Strapdown Inertial Navigation System[D].Beijing:University of Chinese Academy of Sciences,2016.
[4]李晓波,吴斌,董程,等.捷联惯导减振系统的耦合振动研究[J].装备环境工程,2014,11(2):43-49.LI Xiao-bo,WU Bin,DONG Cheng,et al.Research on Coupled Vibration of Strapdown INS Damping System[J].Equipment Environmental Engineering,2014,11(2):43-49.
[5]王平,张广鹏,尉飞,等.轻量化惯导系统振动响应分析与减振器优化[J].仪器仪表学报,2016,37(8):1898-1905.WANG Ping,ZHANG Guang-peng,WEI Fei,et al.Vibration Response Analysis of Lightweight INS and Optimization of Vibration Absorber[J].Chinese Journal of Scientific Instrument,2016,37(8):1898-1905.
[6]张天祥,黄小欣.基于Matlab实现小波阈值去噪的图像处理方法[J].现代电子技术,2013,36(5):103-105.ZHANG Tian-xiang,HUANG Xiao-xin.Realization of Wavelet Threshold Denoising Method Based on Matlab for Image Processing[J].Modern Electronics Technique,2013,36(5):103-105.
[7]王宏强,尚春阳,高瑞鹏,等.基于小波系数变换的小波阈值去噪算法改进[J].振动与冲击,2011,30(10):165-168.WANG Hong-qiang,SHANG Chun-yang,GAO Ruipeng,et al.An Improvement of Wavelet Shrinkage Denoising via Wavelet Coefficient Transformation[J].Journal of Vibration and Shock,2011,30(10):165-168.
[8]刘晓光,胡静涛,高雷,等.基于改进小波阈值的微机械陀螺去噪方法[J].中国惯性技术学报,2014,22(2):233-236.LIU Xiao-guang,HU Jing-tao,GAO Lei,et al.Micro Mechanical Gyro Denoising Method Based on Improved Wavelet Threshold[J].Journal of Chinese Inertial Technology,2014,22(2):233-236.
[9]金宝龙,李辉,赵乃杰,等.一种新的小波阈值去噪算法[J].弹箭与制导学报,2011,31(1):167-169.JIN Bao-long,LI Hui,ZHAO Nai-jie.A De-Nosing Algorithm of Wavelet Threshold Based on a New Threshold Function[J].Journal of Projectiles,Rocket,Missiles and Guidance,2011,31(1):167-169.
[10]LU Jing-yi,LIN Hong,YE Dong,et al.A New Wavelet Threshold Function and Denoising Application[J].Mathematical Problems in Engineering,2016,2016(3):1-8.
[11]SADOOGHI M S,KHADEM S E.A New Performance Evaluation Scheme for Jet Engine Vibration Signal Denoising[J].Mechanical Systems&Signal Processing,2016,76-77:201-212.
[12]SRIVASTAVA M,ANDERSON C L,FREED J H.A New Wavelet Denoising Method for Selecting Decomposition Levels and Noise Thresholds[J].IEEE Access Practical Innovations Open Solutions,2016(4):3862.
[13]BREIMAN L.Better Subset Regression Using the Nonnegative Garrote[M].American Society for Quality Control and American Statistical Association,1995.
[14]沙磊,任超.改进的Garrote阈值法去噪的研究[J].工程勘察,2010,38(7):57-60.SHA Lei,REN Chao.Research on Improved Garrote Threshold De-Noising Method[J].Geotechnical Investigation&Surveying,2010,38(7):57-60.
[15]张婷婷,杨洁明.基于改进小波域阈值法的平移不变振动信号去噪[J].机电工程,2009,26(6):65-67.ZHANG Ting-ting,YANG Jie-ming.Translation-Invariant Denoising of Signal Based on Improved Wavelet Domain Threshold Method[J].Mechanical&Electrical Engineering Magazine,2009,26(6):65-67.
[16]姬忠校.光纤陀螺性能改善技术研究[D].西安:中国科学院,2011.JI Zhong-xiao.Studies on the Technique of the Fiber-Optic Gyroscope for Improving Performance[D].Xi'an:Chinese Academy of Sciences,2011.
[17]朱占辉,张友妮,汪立新,等.基于Allan方差改进阈值的惯性传感器动态信号小波去噪[J].传感技术学报,2016,29(11):1718-1723.ZHU Zhan-hui,ZHANG You-ni,WANG Li-xin,et el.Wavelet De-Noising of Inertial Sensor Dynamic Signal Based on Improvement Threshold with Allan Variance[J].Chinese Journal of Sensors and Actuators,2016,29(11):1718-1723.