光电式扭矩测量系统的研究与分析
|
摘要
机械传动系统中，扭矩是反映设备系统性能的重要指标。目前扭矩传感器逐步向微型化、智能化及非接触式方向发展。基于光电式的扭矩测量在原理上有很大优势，具有非接触、不介入、抗电磁干扰等优点。
DSP具有强大的运算能力，可实现高速数据采集及复杂算法运算，但它不适合逻辑控制和实时性很高的数据采集。现场可编程门阵列FPGA资源丰富、接口灵活、可实现并行运算，其全部控制逻辑由硬件完成，但它不适合做复杂运算。为了提高扭矩的动态实时测量能力，利用光电多码道技术进行扭矩测量，分析了扭矩测量的基本原理，设计了基于DSP和现场可编程门阵列（FPGA）的多通道实时采集系统。通过多路方波信号细分计数周期，分析比较多路信号的状态变化特征并将比较结果作为计数依据，以实现对数据快速精确的采集。硬件上采用DSP和FPGA相结合的方法。利用FPGA实现多路信号采集、数据缓存以及外围控制，利用DSP对信号进行处理并完成数据传输，将数据传送至计算机以进行存储、显示和分析等。
系统自身及外部干扰因素的存在使测得的扭矩存在上下波动的现象，采用EMD阈值去噪方法，对振动信号进行滤波去噪，提取稳定的信号波形。同时采用Hilbert-Huang变换对信号进行分析及有效特征提取，针对Hilbert-Huang变换存在的端点效应问题，采用支持向量回归机与镜像延拓相结合的方法，使端点效应得到了有效地抑制。
In the mechanical transmission system, torque is the important performance index,which reflects the system performances of equipment. Now, micro、intelligence andNon-contact is the trend of torque sensor. The method for measuring torque based onphoto-electricity in principle has more advantages, such as, which are non-contact,non-intervention, anti-electromagnetic interference. These are the trends of torquemeasurement.
Digital signal processor (DSP) has strong operation ability, which can achieve highspeed data acquisition and complex algorithm operations. But it is not suitable for logiccontrol and high real-time data collection. Field programmable gate array (FPGA) is richin resources, flexible interface, which can realize parallel operation and all of its controllogic has been completed by hardware, but it is not suitable for complex arithmetic. Inorder to improve the real-time dynamic measuring ability of torque, This paper usedphoto-electricity multiple code-tracks technology measure torque, analyzed the principleof torque measurement and designed a real-time multi-channel acquisition system basedon DSP and FPGA. In order to acquire the data rapidly and accurately，analysis andcomparison of the multi-channel signal feature and to compare the state of variation ofresults as the count basis through multi-channel square wave signal subdivision countcycle. This paper has used the combination of DSP and FPGA method on the hardware,The usage of FPGA can realize acquisition multi-channel signal, data cache and peripheralcontrol, use of DSP for signal processing and complete data transmission, the data istransmitted to the computer for storage, display and analysis, etc.
Because of the system itself and external interference factors, the measurement oftorque has fluctuations of up and down, This paper used EMD threshold denoisingmethods denoising the vibration signal and extraction the stable signal waveform. Andused Hilbert-Huang transform for signal analysis and feature extraction in the same time, amethod which combines support vector regression (SVR) machine with mirror extensionwas proposed Because of Hilbert-Huang transform existed endpoint effect, Finally this paper make endpoint effect got restrain effectively.
DSP具有强大的运算能力，可实现高速数据采集及复杂算法运算，但它不适合逻辑控制和实时性很高的数据采集。现场可编程门阵列FPGA资源丰富、接口灵活、可实现并行运算，其全部控制逻辑由硬件完成，但它不适合做复杂运算。为了提高扭矩的动态实时测量能力，利用光电多码道技术进行扭矩测量，分析了扭矩测量的基本原理，设计了基于DSP和现场可编程门阵列（FPGA）的多通道实时采集系统。通过多路方波信号细分计数周期，分析比较多路信号的状态变化特征并将比较结果作为计数依据，以实现对数据快速精确的采集。硬件上采用DSP和FPGA相结合的方法。利用FPGA实现多路信号采集、数据缓存以及外围控制，利用DSP对信号进行处理并完成数据传输，将数据传送至计算机以进行存储、显示和分析等。
系统自身及外部干扰因素的存在使测得的扭矩存在上下波动的现象，采用EMD阈值去噪方法，对振动信号进行滤波去噪，提取稳定的信号波形。同时采用Hilbert-Huang变换对信号进行分析及有效特征提取，针对Hilbert-Huang变换存在的端点效应问题，采用支持向量回归机与镜像延拓相结合的方法，使端点效应得到了有效地抑制。
In the mechanical transmission system, torque is the important performance index,which reflects the system performances of equipment. Now, micro、intelligence andNon-contact is the trend of torque sensor. The method for measuring torque based onphoto-electricity in principle has more advantages, such as, which are non-contact,non-intervention, anti-electromagnetic interference. These are the trends of torquemeasurement.
Digital signal processor (DSP) has strong operation ability, which can achieve highspeed data acquisition and complex algorithm operations. But it is not suitable for logiccontrol and high real-time data collection. Field programmable gate array (FPGA) is richin resources, flexible interface, which can realize parallel operation and all of its controllogic has been completed by hardware, but it is not suitable for complex arithmetic. Inorder to improve the real-time dynamic measuring ability of torque, This paper usedphoto-electricity multiple code-tracks technology measure torque, analyzed the principleof torque measurement and designed a real-time multi-channel acquisition system basedon DSP and FPGA. In order to acquire the data rapidly and accurately，analysis andcomparison of the multi-channel signal feature and to compare the state of variation ofresults as the count basis through multi-channel square wave signal subdivision countcycle. This paper has used the combination of DSP and FPGA method on the hardware,The usage of FPGA can realize acquisition multi-channel signal, data cache and peripheralcontrol, use of DSP for signal processing and complete data transmission, the data istransmitted to the computer for storage, display and analysis, etc.
Because of the system itself and external interference factors, the measurement oftorque has fluctuations of up and down, This paper used EMD threshold denoisingmethods denoising the vibration signal and extraction the stable signal waveform. Andused Hilbert-Huang transform for signal analysis and feature extraction in the same time, amethod which combines support vector regression (SVR) machine with mirror extensionwas proposed Because of Hilbert-Huang transform existed endpoint effect, Finally this paper make endpoint effect got restrain effectively.
引文
[1]闫晓强,张海,杨舒拉,等.轧机扭矩遥测系统[J].冶金设备, 2001, 130(6):63-65,32.
[2] A Sackfield, J R Barber, D A Hills. A Shrink-fit Shaft Subject to Totsion[J]. European Journal ofMechanics A/Solids, 2002,21(10):73-84.
[3] P Belli, S Bittanti, D Marco. On the Origin of Torsional Vibrations in Hot Rolling Mills and aPossible Remedy[C]. Journal of Dynamic Systems, Measurement and Control, Transactions of theASME, 2004, 126(4):811-823.
[4] T Kong, D C Yang. Modelling of Tandem Rolling Mills Including Tensional Stress Propagation[C].Proceeding of the Institution of Mechanical Engineers Part E: Journal of Process MechanicalEngineering, 2003,207(2):143-150.
[5] H J Li. J Z Xu, G D Wang. Improvement on Conventional Load Distribution Algorithm in HotTandem Mills[J]. Journal of Iron and Steel Research, 2007, 14(2):36-41.
[6] S H He, J Zhong. Modeling and Identification of HAGC System of Temper Rolling Mill[J].Journal of Central South University of Technology, 2005, 12(6):699-704.
[7] H P Tang, Y Z Yan, J Zhong. Storsional Self-excited Vibration of Rolling Mill[J]. Transaction ofNonferrous Metals Society of China, 2002, 12(2):291-293.
[8] X L Hu, J Wang, Z D Wang. Application of Shape Lock-on Method in Plate Rolling[J]. Journal ofIron and Steel Research, 2007, 14(2):24-26.
[9]于丙强.磁致伸缩式扭矩测量仪的研制及应用[J].计量技术, 2004,(12):22-24.
[10] Pfister. Pierre-Daniel, Perriard. Yves. Torque Measurement Methods for High-speed Motors[C].The International Journal for Computation and Mathematics in Electrical and ElectronicEngineering, 2010,29(5):1172-1183.
[11] D Petreus, C Farcas, P Dobra, D Moga. Torque Measurement System Design[C]. 2008 IEEEInternational Conference on Automation, Quality and Testing, Robotics, Computer Society,2008,1:174-178.
[12] B Liu, P M Shi, Z Wu, D Y Han, J S Jiang. Dynamic Torque Measurement Technique Using LaserDoppler Effect and Two-section Speed Fluctuation[J]. Chinese Journal of Lasers, 2007,5:113-117.
[13]王登全,杨明,叶林,等.非接触式旋转轴扭矩测量现状[J].电子测量技术. 2010, 33(6):8-11.
[14]张之泰.装甲车辆动态扭矩遥感测试技术研究[D]. [中北大学硕士学位论文]. 2011:4-6.
[15] Elias C N, Figueira D C, Rios P R. Influence of the coating material on the loosing of dentalimplant abutment screw joints[C]. Materials Science and Engineering C, 2006, 26(8):1361-1366.
[16] T Kong, D C Yang. Modelling of Tandem Rolling Mills Including Tensional Stress Propagation[C].Proceeding of the Institution of Mechanical Engineers Part E: Journal of Process MechanicalEngineering, 2003, 207(2):143-150.
[17]杨恩霞,田仁,纪鑫.非接触式在线动态扭矩测量装置的设计[J].应用科技. 2006, 10:60-62.
[18]文西芹,张永忠. T扭矩传感器的现状与发展趋势[J].仪表技术与传感器. 2001, 12:1-3.
[19]朱春梅,王朝霞,胡啸峰.扭矩测量系统的研究与设计[J].机械设计与制造. 2009, 5:30-32.
[20] American analog device company. Instrumentation Amplifier AD623 data book[OL].http://www.analog.com/zh/index.html, 2005.
[21]侯培国,尚昱星,潘钊.基于光电多码道技术的嵌入式扭矩测量系统[J].传感器与微系统.2009, 28(5):87-89.
[22]王登泉,杨明等.非接触式旋转轴扭矩测量现状[J].电子测量技术, 2010, 33:8-10.
[23]张之泰,潘宏侠,赵文亮.车辆动态扭矩遥感测试系统设计[J].自动化与仪表. 2010,4:46-49.
[24]王辉.光电式动态扭矩测量系统的设计与实验[D]. [燕山大学硕士学位论文]. 2010:2-5.
[25]郑德忠,宾兴,胡才生.双光环光驱动扭矩仪的特性研究[J].东北重型机械学院学报,1996,20(2):125-129.
[26]喻洪麟,何安国,龙振宇,等.一种新的扭矩测量原理[J].光子学报, 1997, 26(9):832-835.
[27]刘宝华,红外扭矩测量仪的研制[J].仪器仪表学报, 1996，(3):318-320.
[28]程卫东,董永贵,李源,等.无线无源声表面波扭矩传感器的研究[J].压电与声光,2000,22(1):1-3.
[29]喻洪麟,巴军,何安国.环形空间阵列扭矩传感器设计及电磁分析[J].仪器仪表学报. 2009,30(8):1687-1690.
[30]于丙强.磁致伸缩式扭矩测量仪的研制及应用[J].计量技术, 2004,(12):22-24.
[31]孟宗,刘彬.回转机械扭矩实时监测系统的研究[J].仪器仪表学报, 2005, 26(8): 38-39,46.
[32]孟宗,刘彬.回转机械动态扭矩非接触测量的研究[J].计量学报, 2006, 27(4):364-367 .
[33]白文普,杨俊锋,韩佩富,等.动态扭矩加载器的校定研究[J].振动、测试与诊断, 2007,27(4):316-319.
[34]白文普.动态扭矩加载器的标定研究[J].振动与冲击, 2008,27(2):125-128,181.
[35]罗刚,熊文卓.光电轴角编码器光电信号正交偏差的测量和补偿方法[J].传感技术学报,2008, 21(11):1853-1857.
[36]熊文卓,孔智勇,张炜.光电轴角编码器光电信号正交性偏差的相量校正方法[J].光学精密工程, 2007, 15(11):1745-1748.
[37]刘杨,吕恒毅,谭立国,等.光电编码器信号处理技术的研究进展[J].自动化仪表, 2011,32(3):16-20.
[38]朱丹梧.增量式光电编码器信号处理显示电路的设计[J].实用测试技术, 1997, (4):24-26.
[39]费伟中,沈建新,周勇.增量式光电编码器计数与接口电路的设计[J].微特电机, 2007,(1):17-18.
[40]蒋秀珍,马惠萍,金远强.光电式非接触高速转轴扭矩测量实验技术研究[J].仪器仪表学报,2009, 30(6):596-599.
[41] Elias C N, Figueira D C, Rios P R. Influence of the coating material on the loosing of dentalimplant abutment screw joints[C]. Materials Science and Engineering C, 2006, 26(8):1361-1366.
[42] Clancy, Edward A, Bida Oljeta. Influence of advanced electromyogram (EMG) amplitudeprocessors on EMG-to-torque estimation during constant-posture[C], force-varying contractions.Journal of Biomechanics, 2006, 39(14):2690-2698.
[43]王银生,杨锦舟,韩来聚.近钻头钻压、扭矩测量中微弱信号处理[J].石油钻探技术. 2009,37(4):73-75.
[44]恩霞,田仁,纪鑫.非接触式在线动态扭矩测量装置的设计[J].应用科技, 2006,33(10):60-62.
[45]石延平,周庆贵,臧勇.环形差动压磁式非接触动态扭矩传感器的研究与设计[J].中国机械工程, 2011, 22(17):2026-2029.
[46]侯培国,周志爽.基于FPGA的电机动态扭矩测量方法研究[J].传感技术学报. 2010,23(10):1519-1522.
[47]何亓,张会新,刘波.基于FPGA的高速实时数据采集存储系统设计[J].仪表技术与传感器.2011, 8:64-66.
[48]贾雅琼,俞斌.基于FPGA的多路光电编码器数据采集系统[J].仪表技术与传感器, 2008,3:57-59.
[49]蒋丽雁.基于FPGA的光栅信号处理电路研究[D]. [合肥工业大学硕士学位论文]. 2010:6-9.
[50]邵成华,段美霞.基于FPGA的高速数据采集系统设计[J].仪表技术, 2011, 12:53-54.
[51]郭敬滨,刘海军.基于DSP和FPGA非圆齿轮测量仪数据采集系统的设计[J].仪表技术与传感器, 2011, 3:93-94.
[52]高健.基于DSP和FPGA的数据采集记录与处理硬件设计[J].测控技术, 2011, 30(5):54-56.
[53]王亚.基于DSP的数据采集系统硬件设计与信号分析[D]. [天津理工大学硕士学位论文].2011:36-38.
[54]莫莉,王雪梅,倪文波.基于DSP的数据采集与显示系统[J].仪表技术与传感器, 2011,7:41-43.
[55] N E Huang. A New Method for Nonlinear and Non-stationary Time Series Analysis : EmpiricalMode Decomposition and Hilbert Spectral analysis[J]. Proceedings of SPIE, 2000,(4056):197-209.
[56]宋倩倩,于凤芹.Hilbert-Huang变换在语音信号精细时频分析中的应用[J].计算机工程与应用, 2010, 46(28):149-151.
[57]朱晓军,吕士钦,余雪梅,等.基于改进EMD的脑电信号去噪方法[J].计算机工程, 2012,38(1):151-153.
[58] N E Huang, Z Wu, S R Long, K C Arnold, X Chen and K Blank. On instantaneous frequency[J],Advance in Adaptive Data Analysis . 2009, 1(2):177-229.
[59] Z Wu, N E Huang. Ensemble Empirical Mode Decomposition: a noise-assisted data analysismethod[J]. Advances in Adaptive Data Analysis. 2009, 1(1):1-41.
[60]聂永辉,高磊,唐威. Hilbert-Huang变换在电力系统暂态信号分析中的应用[J].电力系统及其自动化学报[J]. 2009, 28(4):63-69.
[61]季娟,姚恩涛,张明,等.基于HHT的汽车动态称重数据分析方法[J].数据采集与处理.2006, 21(3):340-344.
[62]李辉,王瀚,白亮,等.改进希尔伯特-黄变换方法提取水轮机动态特征信息[J].中国电机工程学报, 2011, 31(2):73-84.
[63]李雪耀,黄永平,张汝波.一种基于支持向量回归机的经验模态分解方法[J].哈尔滨工程大学学报. 2007, 28(7):779-783.
[64]李敏,张斌. EMD端点效应处理方法的研究[J].太原理工大学学报. 2009, 40(6):579-581.
[65]李刚,姜万录. Hilbert-Huang变换在干式真空泵故障诊断中的应用[J].一重技术. 2010,5:53-58.
[66] N E Huang, X Chen, M-T Lo and Z Wu. On Hilbert Spectral Representation: A TrueTime-Frequency Representation for Nonlinear and Nonstationary Data[J]. Advances in AdaptiveData Analysis, 2011, 3(1&2): 63-93.
[67]张德祥,汪萍,吴小培,等. Hilbert-小波变换的齿轮箱故障诊断[J].计算机应用研究, 2011,28(11):4236-4239.
[2] A Sackfield, J R Barber, D A Hills. A Shrink-fit Shaft Subject to Totsion[J]. European Journal ofMechanics A/Solids, 2002,21(10):73-84.
[3] P Belli, S Bittanti, D Marco. On the Origin of Torsional Vibrations in Hot Rolling Mills and aPossible Remedy[C]. Journal of Dynamic Systems, Measurement and Control, Transactions of theASME, 2004, 126(4):811-823.
[4] T Kong, D C Yang. Modelling of Tandem Rolling Mills Including Tensional Stress Propagation[C].Proceeding of the Institution of Mechanical Engineers Part E: Journal of Process MechanicalEngineering, 2003,207(2):143-150.
[5] H J Li. J Z Xu, G D Wang. Improvement on Conventional Load Distribution Algorithm in HotTandem Mills[J]. Journal of Iron and Steel Research, 2007, 14(2):36-41.
[6] S H He, J Zhong. Modeling and Identification of HAGC System of Temper Rolling Mill[J].Journal of Central South University of Technology, 2005, 12(6):699-704.
[7] H P Tang, Y Z Yan, J Zhong. Storsional Self-excited Vibration of Rolling Mill[J]. Transaction ofNonferrous Metals Society of China, 2002, 12(2):291-293.
[8] X L Hu, J Wang, Z D Wang. Application of Shape Lock-on Method in Plate Rolling[J]. Journal ofIron and Steel Research, 2007, 14(2):24-26.
[9]于丙强.磁致伸缩式扭矩测量仪的研制及应用[J].计量技术, 2004,(12):22-24.
[10] Pfister. Pierre-Daniel, Perriard. Yves. Torque Measurement Methods for High-speed Motors[C].The International Journal for Computation and Mathematics in Electrical and ElectronicEngineering, 2010,29(5):1172-1183.
[11] D Petreus, C Farcas, P Dobra, D Moga. Torque Measurement System Design[C]. 2008 IEEEInternational Conference on Automation, Quality and Testing, Robotics, Computer Society,2008,1:174-178.
[12] B Liu, P M Shi, Z Wu, D Y Han, J S Jiang. Dynamic Torque Measurement Technique Using LaserDoppler Effect and Two-section Speed Fluctuation[J]. Chinese Journal of Lasers, 2007,5:113-117.
[13]王登全,杨明,叶林,等.非接触式旋转轴扭矩测量现状[J].电子测量技术. 2010, 33(6):8-11.
[14]张之泰.装甲车辆动态扭矩遥感测试技术研究[D]. [中北大学硕士学位论文]. 2011:4-6.
[15] Elias C N, Figueira D C, Rios P R. Influence of the coating material on the loosing of dentalimplant abutment screw joints[C]. Materials Science and Engineering C, 2006, 26(8):1361-1366.
[16] T Kong, D C Yang. Modelling of Tandem Rolling Mills Including Tensional Stress Propagation[C].Proceeding of the Institution of Mechanical Engineers Part E: Journal of Process MechanicalEngineering, 2003, 207(2):143-150.
[17]杨恩霞,田仁,纪鑫.非接触式在线动态扭矩测量装置的设计[J].应用科技. 2006, 10:60-62.
[18]文西芹,张永忠. T扭矩传感器的现状与发展趋势[J].仪表技术与传感器. 2001, 12:1-3.
[19]朱春梅,王朝霞,胡啸峰.扭矩测量系统的研究与设计[J].机械设计与制造. 2009, 5:30-32.
[20] American analog device company. Instrumentation Amplifier AD623 data book[OL].http://www.analog.com/zh/index.html, 2005.
[21]侯培国,尚昱星,潘钊.基于光电多码道技术的嵌入式扭矩测量系统[J].传感器与微系统.2009, 28(5):87-89.
[22]王登泉,杨明等.非接触式旋转轴扭矩测量现状[J].电子测量技术, 2010, 33:8-10.
[23]张之泰,潘宏侠,赵文亮.车辆动态扭矩遥感测试系统设计[J].自动化与仪表. 2010,4:46-49.
[24]王辉.光电式动态扭矩测量系统的设计与实验[D]. [燕山大学硕士学位论文]. 2010:2-5.
[25]郑德忠,宾兴,胡才生.双光环光驱动扭矩仪的特性研究[J].东北重型机械学院学报,1996,20(2):125-129.
[26]喻洪麟,何安国,龙振宇,等.一种新的扭矩测量原理[J].光子学报, 1997, 26(9):832-835.
[27]刘宝华,红外扭矩测量仪的研制[J].仪器仪表学报, 1996，(3):318-320.
[28]程卫东,董永贵,李源,等.无线无源声表面波扭矩传感器的研究[J].压电与声光,2000,22(1):1-3.
[29]喻洪麟,巴军,何安国.环形空间阵列扭矩传感器设计及电磁分析[J].仪器仪表学报. 2009,30(8):1687-1690.
[30]于丙强.磁致伸缩式扭矩测量仪的研制及应用[J].计量技术, 2004,(12):22-24.
[31]孟宗,刘彬.回转机械扭矩实时监测系统的研究[J].仪器仪表学报, 2005, 26(8): 38-39,46.
[32]孟宗,刘彬.回转机械动态扭矩非接触测量的研究[J].计量学报, 2006, 27(4):364-367 .
[33]白文普,杨俊锋,韩佩富,等.动态扭矩加载器的校定研究[J].振动、测试与诊断, 2007,27(4):316-319.
[34]白文普.动态扭矩加载器的标定研究[J].振动与冲击, 2008,27(2):125-128,181.
[35]罗刚,熊文卓.光电轴角编码器光电信号正交偏差的测量和补偿方法[J].传感技术学报,2008, 21(11):1853-1857.
[36]熊文卓,孔智勇,张炜.光电轴角编码器光电信号正交性偏差的相量校正方法[J].光学精密工程, 2007, 15(11):1745-1748.
[37]刘杨,吕恒毅,谭立国,等.光电编码器信号处理技术的研究进展[J].自动化仪表, 2011,32(3):16-20.
[38]朱丹梧.增量式光电编码器信号处理显示电路的设计[J].实用测试技术, 1997, (4):24-26.
[39]费伟中,沈建新,周勇.增量式光电编码器计数与接口电路的设计[J].微特电机, 2007,(1):17-18.
[40]蒋秀珍,马惠萍,金远强.光电式非接触高速转轴扭矩测量实验技术研究[J].仪器仪表学报,2009, 30(6):596-599.
[41] Elias C N, Figueira D C, Rios P R. Influence of the coating material on the loosing of dentalimplant abutment screw joints[C]. Materials Science and Engineering C, 2006, 26(8):1361-1366.
[42] Clancy, Edward A, Bida Oljeta. Influence of advanced electromyogram (EMG) amplitudeprocessors on EMG-to-torque estimation during constant-posture[C], force-varying contractions.Journal of Biomechanics, 2006, 39(14):2690-2698.
[43]王银生,杨锦舟,韩来聚.近钻头钻压、扭矩测量中微弱信号处理[J].石油钻探技术. 2009,37(4):73-75.
[44]恩霞,田仁,纪鑫.非接触式在线动态扭矩测量装置的设计[J].应用科技, 2006,33(10):60-62.
[45]石延平,周庆贵,臧勇.环形差动压磁式非接触动态扭矩传感器的研究与设计[J].中国机械工程, 2011, 22(17):2026-2029.
[46]侯培国,周志爽.基于FPGA的电机动态扭矩测量方法研究[J].传感技术学报. 2010,23(10):1519-1522.
[47]何亓,张会新,刘波.基于FPGA的高速实时数据采集存储系统设计[J].仪表技术与传感器.2011, 8:64-66.
[48]贾雅琼,俞斌.基于FPGA的多路光电编码器数据采集系统[J].仪表技术与传感器, 2008,3:57-59.
[49]蒋丽雁.基于FPGA的光栅信号处理电路研究[D]. [合肥工业大学硕士学位论文]. 2010:6-9.
[50]邵成华,段美霞.基于FPGA的高速数据采集系统设计[J].仪表技术, 2011, 12:53-54.
[51]郭敬滨,刘海军.基于DSP和FPGA非圆齿轮测量仪数据采集系统的设计[J].仪表技术与传感器, 2011, 3:93-94.
[52]高健.基于DSP和FPGA的数据采集记录与处理硬件设计[J].测控技术, 2011, 30(5):54-56.
[53]王亚.基于DSP的数据采集系统硬件设计与信号分析[D]. [天津理工大学硕士学位论文].2011:36-38.
[54]莫莉,王雪梅,倪文波.基于DSP的数据采集与显示系统[J].仪表技术与传感器, 2011,7:41-43.
[55] N E Huang. A New Method for Nonlinear and Non-stationary Time Series Analysis : EmpiricalMode Decomposition and Hilbert Spectral analysis[J]. Proceedings of SPIE, 2000,(4056):197-209.
[56]宋倩倩,于凤芹.Hilbert-Huang变换在语音信号精细时频分析中的应用[J].计算机工程与应用, 2010, 46(28):149-151.
[57]朱晓军,吕士钦,余雪梅,等.基于改进EMD的脑电信号去噪方法[J].计算机工程, 2012,38(1):151-153.
[58] N E Huang, Z Wu, S R Long, K C Arnold, X Chen and K Blank. On instantaneous frequency[J],Advance in Adaptive Data Analysis . 2009, 1(2):177-229.
[59] Z Wu, N E Huang. Ensemble Empirical Mode Decomposition: a noise-assisted data analysismethod[J]. Advances in Adaptive Data Analysis. 2009, 1(1):1-41.
[60]聂永辉,高磊,唐威. Hilbert-Huang变换在电力系统暂态信号分析中的应用[J].电力系统及其自动化学报[J]. 2009, 28(4):63-69.
[61]季娟,姚恩涛,张明,等.基于HHT的汽车动态称重数据分析方法[J].数据采集与处理.2006, 21(3):340-344.
[62]李辉,王瀚,白亮,等.改进希尔伯特-黄变换方法提取水轮机动态特征信息[J].中国电机工程学报, 2011, 31(2):73-84.
[63]李雪耀,黄永平,张汝波.一种基于支持向量回归机的经验模态分解方法[J].哈尔滨工程大学学报. 2007, 28(7):779-783.
[64]李敏,张斌. EMD端点效应处理方法的研究[J].太原理工大学学报. 2009, 40(6):579-581.
[65]李刚,姜万录. Hilbert-Huang变换在干式真空泵故障诊断中的应用[J].一重技术. 2010,5:53-58.
[66] N E Huang, X Chen, M-T Lo and Z Wu. On Hilbert Spectral Representation: A TrueTime-Frequency Representation for Nonlinear and Nonstationary Data[J]. Advances in AdaptiveData Analysis, 2011, 3(1&2): 63-93.
[67]张德祥,汪萍,吴小培,等. Hilbert-小波变换的齿轮箱故障诊断[J].计算机应用研究, 2011,28(11):4236-4239.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |