南京理工大学学报（自然科学版）2013，Vol.37Issue(3)：378-383,6.
基于有理逼近的圆度测量信号高斯滤波方法
Gaussian filtering method for roundness measurement signals based on rational approximation
摘要
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 amphtude 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.关键词
有理逼近/圆度测量/高斯滤波/零相移Key words
rational approximation/roundness measurement/Gaussian filtering/zero phase shifting分类
机械制造引用本文复制引用
许景波,袁怡宝,聂家立,崔晓萌,王升..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(3):378-383,6.基金项目
黑龙江省教育厅科学技术研究项目(11541053) （11541053）
