[1]许景波,袁怡宝,聂家立,等.基于有理逼近的圆度测量信号高斯滤波方法[J].南京理工大学学报(自然科学版),2013,37(03):38.
 Xu Jingbo,Yuan Yibao,Nie Jiali,et al.Gaussian filtering method for roundness measurement signals based on rational approximation[J].Journal of Nanjing University of Science and Technology,2013,37(03):38.
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基于有理逼近的圆度测量信号高斯滤波方法
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
37卷
期数:
2013年03期
页码:
38
栏目:
出版日期:
2013-06-30

文章信息/Info

Title:
Gaussian filtering method for roundness measurement signals based on rational approximation
作者:
许景波12袁怡宝3聂家立4崔晓萌12王 升12
1.哈尔滨理工大学 测控技术与通信工程学院,黑龙江 哈尔滨 150080; 2.测控技术与仪器黑龙江省高校重点实验室, 黑龙江 哈尔滨 150080; 3.哈尔滨工业大学 自动化测试与控制系,黑龙江 哈尔滨 150001; 4.哈尔滨东安汽车动力股份有限公司,黑龙江 哈尔滨 150060
Author(s):
Xu Jingbo12Yuan Yibao3Nie Jiali4Cui Xiaomeng12Wang Sheng12
1.College of Measure-control Technology and Communication Engineering,Harbin University of Science and Technology,Harbin 150080,China; 2.The Higher Educational Key Laboratory for Measuring and Control Technology and Instrumentations of Heilongjiang Provin
关键词:
有理逼近 圆度测量 高斯滤波 零相移
Keywords:
rational approximation roundness measurement Gaussian filtering zero phase shifting
分类号:
TH72
摘要:
为了消除圆度测量中振动噪声等信号的影响,采用高斯滤波器作为测量信号处理滤波器,提出了高斯滤波器的一种逼近实现方法。在有理插值逼近基础上,建立了高斯滤波器的有理分式逼近模型。通过矩阵运算计算相应参数,得出了高斯滤波器的逼近滤波器。其与理想高斯滤波器的最大幅度偏差小于1%,截止波数内最大幅度偏差小于2‰。通过前向、后向差分变换,得出了零相移的数字滤波器。数字滤波算法只需一级零相移滤波,计算效率高。通过圆度测量信号的周期延拓,解决了数字滤波的边界效应问题。
Abstract:
To eliminate the influences of signals such as vibration noises of roundness measurement,a Gaussian filter is taken as the measurement signal processing filter,and a new implement method for Gaussian filter is provided.A rational fraction approximation model is established based on the rational interpolation approximation.The corresponding parameters are calculated by matrix operation and an approximation filter of Gaussian filter is concluded.The maximum amplitude error of the ideal Gaussian filter and its approximation filter is less than 1% and the maximum amplitude error in the cutoff undulations is less than 2‰.A zero phase shift digital filter is concluded through the forward difference transform and backward difference transform.The corresponding digital filtering algorithm has the simple structure of one cascade zero phase shift filtering and high computing efficiency.The edge effect of digital filters is solved through the cycle continuation of roundness measurement signals.

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相似文献/References:

[1]许景波,袁怡宝.圆度测量中的高斯滤波快速算法[J].南京理工大学学报(自然科学版),2007,(03):342.
 XU Jing-bo,YUAN Yi-bao.Fast Gaussian Filtering Algorithm for Roundness Measurements[J].Journal of Nanjing University of Science and Technology,2007,(03):342.
[2]闵国华,苏雪琴.关于一类最佳有理逼近的Bernstein比较定理[J].南京理工大学学报(自然科学版),1995,(04):350.
 Min Guohua,Su Xueqin.On a Comparative Theorem of a Kind of the Best Rational Approximation[J].Journal of Nanjing University of Science and Technology,1995,(03):350.
[3]闵国华.一类切触有理插值算子的点态逼近[J].南京理工大学学报(自然科学版),1991,(02):57.

备注/Memo

备注/Memo:
收稿日期:2012-07-23 修回日期:2012-11-11
基金项目:黑龙江省教育厅科学技术研究项目(11541053)
作者简介:许景波(1973-),男,博士,副教授,主要研究方向:高斯滤波器逼近理论及应用,表面及圆度测量、滤波、评定技术,E-mail:hitxjb@126.com。
更新日期/Last Update: 2013-03-25