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| Approximation Implementation Approach for Gaussian Filtering in Roundness Measurement |
| XU Jing-bo1,2, YUAN Yi-bao3,LIU Bo1,2,LIN Hai-jun1,2,LI Jian-xin1,2 |
1.College of Measure-control Technology & Communication Engineering, Harbin University of Science and Technology, Harbin, Heilongjiang 150080, China
2.The Higher Educational Key Laboratory for Measuring & Control Technology and Instrumentations of Heilongjiang Province, Harbin, Heilongjiang 150080, China
3. Department of Automation Measurement & Control, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China |
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Abstract Gaussian filter acts as the filter for roundness signal processing and a new implementation approach for it is presented. Based on B-spline function, the variations principle with the constraint condition and the convolution characteristic of Gaussian filter of small scale parameter, the approximation filter of Gaussian filter is established. The amplitude characteristic deviation from the theory filter is less than 1% and has zero-phase-shift characteristic. The digital filtering algorithm consists of the zero-phase-shift filtering and the weighing filtering which loop two times in processing and has simply structure and high efficiency. The method of cycle continuation solves the edge effects of digital filtering by the periodicity of the roundness measurement signal. The approximation filter is both efficiency and accurate for the implementation of Gaussian filter in the application of roundness measurement.
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2012, Vol. 33 
