吉林大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (5): 1347-1352.doi: 10.7964/jdxbgxb201405020

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Rational approximation implementation approach to determine Gaussian filtering mean line in surface roughness measurement

XU Jing-bo1,2,YUAN Yi-bao3, CUI Xiao-meng1,2, GUO Xin1,2, WANG Sheng1,2   

  1. 1.College of Measure-control Technology & Communication Engineering, Harbin University of Science and Technology, Harbin 150080,China;
    2. The Higher Educational Key Laboratory for Measuring & Control Technology and Instrumentations of Heilongjiang Province,Harbin 150080,China;
    3. Department of Automation Measurement & Control,Harbin Institute of Technology, Harbin 150001,China
  • Received:2013-02-15 Online:2014-09-01 Published:2014-09-01

Abstract: Based on rational fraction approximation, an implementation approach for Gaussian filter is presented. The coefficients in the rational fraction are determined by interpolation approximation. The deduced rational fraction is an optimization approximation function with high approximation accuracy. The maximum amplitude deviation from theoretical Gaussian filter is 0.88% in the whole frequency domain, and is less than 2‰ in cutoff frequency. The approximation filter is designed by the poles in the left half plane of S domain, and the corresponding digital filter in Z domain is obtained by backward difference transformation. The corresponding zero-phase-shift digital filtering algorithm is achieved by zero-phase-shift technique that meets the requirements of surface measurement. This method is applied to surface roughness measurement to determine the mean line of surface profile and separate surface roughness. The algorithm has high computation efficiency because it can be implemented by only one stage zero-phase-shift filtering, and provides a new method for surface measurement.

Key words: surface roughness measurement, Gaussian filter, rational approximation, zero-phase-shift filtering

CLC Number: 

  • TB92
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