基于子带自适应滤波的振动台功率谱复现

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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。

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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

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.

Key words： Fluid power transmission and control Hydraulic shaking table subband adaptive filter power spectrum density filter banks

收稿日期: 2015-07-17 出版日期: 2016-09-25

引用本文:

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. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(19): 138-142.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I19/138

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