Article ID Journal Published Year Pages File Type
801352 Precision Engineering 2012 5 Pages PDF
Abstract

This paper describes a procedure for analyzing non-stationary (variable frequency content) periodic error signals obtained during accelerating or decelerating motion. This capability is important due to the recent interest in real-time compensation of periodic error for precision positioning systems. In order to apply the spatial Fourier transform to the non-stationary signal, the constant time interval signals are resampled by linear interpolation using a constant spatial interval. Numerical and experimental results are provided for constant acceleration and sinusoidal motion profiles.

► It is necessary to analyze non-constant velocity profiles for real-time compensation of periodic error in displacement measuring interferometry. ► Because periodic error is characterized by constant spatial periods, the signal is non-stationary for accelerating/decelerating motions. ► It is shown that a resampling of the data enables the spatial Fourier transform to be applied for determination of the residual periodic error magnitudes.

Related Topics
Physical Sciences and Engineering Engineering Industrial and Manufacturing Engineering
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