• CN:11-2187/TH
  • ISSN:0577-6686

›› 2006, Vol. 42 ›› Issue (4): 42-46.

• 论文 • 上一篇    下一篇

减小表面粗糙度测量高斯滤波幅度偏差

许景波;袁怡宝;朴伟英;SONG J F;VORBURGER T V   

  1. 哈尔滨工业大学自动化测试与控制系;美国国家标准与技术研究院
  • 发布日期:2006-04-15

DECREASING THE AMPLITUDE CHARACTERISTIC DEVIATION OF GAUSSIAN FILTER IN SURFACE ROUGHNESS MEASUREMENTS

XU Jingbo;YUAN Yibao;PIAO Weiying;SONG J F;VORBURGER T V   

  1. Department of Automation Measurement & Control and Instrumentation, Harbin Institute of Technology National Institute of Standards and Technology
  • Published:2006-04-15

摘要: 提出了一种减小表面粗糙度测量用的高斯滤波器幅度传输特性偏差的新方法。根据中心极限定理,可以构造出不同的高斯逼近滤波器。用多级一阶巴特沃思滤波器和多级移动平均滤波器分别去逼近高斯滤波器时,两者的幅度偏差方向相反、极值位置相近,所以这两种方法的线性组合可以大大减小偏差。用这两种不同逼近滤波器的并联方法构成的一个简单的线性组合滤波器,去逼近高斯滤波器的幅度传输特性,其幅度传输特性的最大偏差只有0.11%。这种新的逼近方法,算法简单、精度高,实现了表面测量高斯滤波处理的高精度和高效率的高度统一。

关键词: 巴特沃思滤波器, 表面粗糙度测量, 高斯滤波器, 移动平均滤波器

Abstract: A new approach for decreasing the amplitude characteristic deviation of Gaussian filter in surface roughness measurements is presented. On the basis of the central limit theorem, various kinds of Gaussian approximation filters can be carried out. The cascaded first-order Butterworth filters and the cas-caded moving average filters are used respectively to implement the Gaussian filter approximately. Their amplitude characteristic deviation curves are almost equal in their shapes and opposite in their phases, and their locations of extremum are very close to each other. So the linear combination of the two Gaussian approximation filters may reduce the amplitude characteristic deviation greatly. The most amplitude deviation of a simple combination filter consisting of two approximation filters is about 0.11%. This new Gaussian approximation filter is both efficient and accurate for surface roughness measu-rements.

Key words: Moving average filter, Surface roughness measurement, Butterworth filter, Gaussian filter

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