基于子带自适应滤波的振动台功率谱复现

张兵1, 谢方伟1, 张新星2, 王存堂1,王雅婷3,韩俊伟4

振动与冲击 ›› 2016, Vol. 35 ›› Issue (19) : 138-142.

PDF(1744 KB)
PDF(1744 KB)
振动与冲击 ›› 2016, Vol. 35 ›› Issue (19) : 138-142.
论文

基于子带自适应滤波的振动台功率谱复现

  • 张兵1, 谢方伟1, 张新星2, 王存堂1,王雅婷3,韩俊伟4
作者信息 +

PSD replication of shaking table based on subband adaptive filter algorithm

  • ZHANG Bing1,XIE Fang-wei1,ZHANG Xin-xing2,WANG Cun-tang1,ZHAI Chang-pan3,AN Jun-wei4
Author information +
文章历史 +

摘要

为了提高液压振动台功率谱密度复现的精度和减少功率谱均衡时间,研究了子带自适应滤波系统辨识技术。在分析振动台功率谱均衡原理的基础上,指出液压振动控制系统辨识的精度直接影响到功率谱复现的精度及均衡时间。针对系统辨识技术研究算法的结构,推导出算法迭代公式和收敛条件。同时,为了将信号更好地分解到各个子频带,探讨了一种近似完全重构滤波器组设计方法,近于消除滤波器组的幅值失真和混叠失真。基于液压振动台功率谱复现流程,采用Matlab/Simulink仿真软件进行仿真试验,仿真结果证明了子带自适应滤波算法在液压振动台功率谱复现过程中的有效性。
 

Abstract

To improve the accuracy of power spectrum density (PSD) replication of hydraulic shaking table and to reduce the PSD equalization time, a new system identification (SID) technology based on subband adaptive filter algorithm is adopt and studied in this paper. The quality of SID of shaking system is one of key factor that influences the PSD replication precision and equalization time through analyzing the principle of PSD equalization of hydraulic shaking table. The structure of the subband adaptive filter is investigated, the iteration equation is derived and the condition of convergence of this SID technology is discussed. Meanwhile, a new method for the design of nearly perfect reconstruction cosine modulated filter banks is introduced to decompose signal into different subband smoothly and decrease the distortion of amplitude and aliasing of the filter banks. Finaly, the efficiency of the subband adaptive filter SID technology is verified by the simulation of PSD replication of shaking table using Matlab/Simulink.

 

关键词

流体传动与控制  / 液压振动台  / 子带自适应滤波   / 功率谱密度   / 滤波器组 

Key words

Fluid power transmission and control / Hydraulic shaking table / subband adaptive filter / power spectrum density / filter banks

引用本文

导出引用
张兵1, 谢方伟1, 张新星2, 王存堂1,王雅婷3,韩俊伟4. 基于子带自适应滤波的振动台功率谱复现[J]. 振动与冲击, 2016, 35(19): 138-142
ZHANG Bing1,XIE Fang-wei1,ZHANG Xin-xing2,WANG Cun-tang1,ZHAI Chang-pan3. PSD replication of shaking table based on subband adaptive filter algorithm[J]. Journal of Vibration and Shock, 2016, 35(19): 138-142

参考文献

1. 关广丰, 丛大成, 韩俊伟,等. 6自由度随机振动控制算法[J]. 机械工程学报, 2008, 44(9):215-219.
Guan,Guangfeng ; Cong,Dacheng; Han, unwei; Li, Hongren. Algorithm of 6-DOF random vibration control[J].  Chinese Journal of Mechanical Engineering, 2008,44(9): 215-219.
2. 严鲁涛, 杨志鹏, 王有杰. 基于联合振动试验系统的正弦加随机振动研究[J]. 振动与冲击, 2015,34(2):91-95.
Yan, Lu-Tao ; Yang, Zhi-Peng; Wang, You-Jie. Sine on random vibration based on combined vibration test system[J]. Journal of Vibration and Shock, 2015,34(2):91-95.
3. 蒋瑜, 陈循, 陶俊勇. 基于时域随机化的超高斯真随机驱动信号生成技术研究[J]. 振动工程学报, 2005, 18(4):491-494.
Jiang, Yu ; Chen, Xun; Tao, Jun-Yong. Study on the generation of super-Gaussian and true-random drive signals using time domain randomization[J]. Journal of Vibration Engineering, 2005,18(4):491-494.
4. 王晓燕, 李杰, 董玉才,等. 基于FIR数字滤波器随机振动信号频时域转换方法[J]. 北京理工大学学报, 2012, 32(7):685-688.
Wang, Xiao-Yan ; Li, Jie; Dong, Yu-Cai; Zhang, Ling; Yi, Liang-Hai. Transformation from frequency to time domain of random vibration signal based on FIR digit filter[J]. Transaction of Beijing Institute of Technology, 2012,32(7): 685-688.
5. 张兵, 郑书涛, 丛大成,等. 振动台功率谱复现算法[J]. 振动、测试与诊断, 2011, 31(4):468-473.
Zhang,Bing ; Zheng,Shutao; Cong, Dacheng; Han, Junwei. Replicate Algorithm for Power Spectral Density of Vibration Table[J].Journal of Vibration, Measurement and Diagnosis,2011, 31(4):468-473.
6. 张兵, 郑淑涛, 杨志东,等. 基于自适应逆控制的液压振动台功率谱复现[J]. 振动与冲击, 2013, 32(20):151-155.
Zhang,Bing ; Zheng,Shu-Tao; Yang,Zhi-Dong; Cong, Da-Cheng; Han, Jun-Wei. PSD replication of a shaking table based on adaptive inverse control[J]. Journal of Vibration and Shock,2013, 32(20): 151-155.
7. Stroud R.C. and Hamma G.A. Multiexciter and Multiaxis Vibration Exciter Control Systems[J]. Sound and Vibration, 1988, 22(4): 18-28.
8. S.Sandeep Pradhan and V.U.Reddy.A new Approch to Subband Adaptive Filtering[J].IEEE Trans.on Signal Processing.1999,47(3):655-664.
9. Kha H H, Tuan H D, Nguyen T Q. Efficient design of cosine-modulated filter banks via convex optimization[J]. Signal Processing, IEEE Transactions on, 2009, 57(3): 966-976.
10. 鲍成浩,水鹏朗.利用直接矩阵求逆和临界采样子带自适应滤波器的快速系统辨识[J].电子与信息学报,2008,30(1):139-143.
Bao, Cheng-Hao; Shui, Peng-Lang. Fast system identification using direct matrix inversion and a critically sampled subband adaptive filter[J]. Journal of Electronics and Information Technology, 2008,30(1):139-143.
11. Chen C K, Lee J H. Design of quadrature mirror filters with linear phase in the frequency domain[J]. Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on, 1992, 39(9): 593-605.
12. 张珺,魏学业.余弦调制滤波器组的设计研究[J].   北方交通大学学报,2004,28(3):103-105.
Zhang, Jun; Wei, Xue-Ye. Research on cosine-modulated filter banks[J]. Journal of Northern Jiaotong University, 2004,28(3): 103-105.
 

PDF(1744 KB)

Accesses

Citation

Detail

段落导航
相关文章

/