Finite difference spectral moment estimation for profiles the effect of sample spacing and quantization error

John I. McCool

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The mean square slope m2 and curvature m4 of surface profiles are characteristics that depend upon the frequency content of the roughness. Together with the mean square profile height m0 they determine the microgeometrical behaviour of contacting rough surfaces. It is shown that in the absence of quantization error, the error due to finite sample spacing in estimating these spectral moments for a sinusoid is negligible when more than 8 points per cycle are used. In the presence of quantization error, large potential overestimates of m2 and m4 can occur. The error decreases initially with increased sample spacing and then increases. The severity of the distortion is shown to increase as the peak-to-peak range of the sine wave decreases relative to the full range of the a/d converter used in the digitization process.

Original languageEnglish (US)
Pages (from-to)181-184
Number of pages4
JournalPrecision Engineering
Volume4
Issue number4
DOIs
StatePublished - Jan 1 1982

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Analog to digital conversion
Surface roughness

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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abstract = "The mean square slope m2 and curvature m4 of surface profiles are characteristics that depend upon the frequency content of the roughness. Together with the mean square profile height m0 they determine the microgeometrical behaviour of contacting rough surfaces. It is shown that in the absence of quantization error, the error due to finite sample spacing in estimating these spectral moments for a sinusoid is negligible when more than 8 points per cycle are used. In the presence of quantization error, large potential overestimates of m2 and m4 can occur. The error decreases initially with increased sample spacing and then increases. The severity of the distortion is shown to increase as the peak-to-peak range of the sine wave decreases relative to the full range of the a/d converter used in the digitization process.",
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Finite difference spectral moment estimation for profiles the effect of sample spacing and quantization error. / McCool, John I.

In: Precision Engineering, Vol. 4, No. 4, 01.01.1982, p. 181-184.

Research output: Contribution to journalArticle

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