Vibration measurement without the Heydemann correction

We propose a novel signal-processing technique to avoid cyclic errors in laser interferometers instead of an elliptical fitting, known as the Heydemann correction. It is based on a simple superposition of background motions to average out the effect of cyclic errors. With a simulation, we show that...

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Main Authors: Wataru Kokuyama, Tomofumi Shimoda, Hideaki Nozato
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Measurement: Sensors
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2665917421000994
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spelling doaj-1541d3b218b74a76979717253353a9e32021-09-29T04:26:44ZengElsevierMeasurement: Sensors2665-91742021-12-0118100136Vibration measurement without the Heydemann correctionWataru Kokuyama0Tomofumi Shimoda1Hideaki Nozato2Corresponding author.; National Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki, 305-8563, JapanNational Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki, 305-8563, JapanNational Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki, 305-8563, JapanWe propose a novel signal-processing technique to avoid cyclic errors in laser interferometers instead of an elliptical fitting, known as the Heydemann correction. It is based on a simple superposition of background motions to average out the effect of cyclic errors. With a simulation, we show that a single-frequency vibration can be extracted by applying filtering and fitting to the displacement data with an adding linear drift. We also experimentally show that the technique reduces the measured dispersion of the vibration amplitude. It offers a simple and economic interferometer for the single-frequency vibration measurement in primary vibration calibration systems.http://www.sciencedirect.com/science/article/pii/S2665917421000994Vibration measurementCyclic errorSpectral analysisDigital filter
collection DOAJ
language English
format Article
sources DOAJ
author Wataru Kokuyama
Tomofumi Shimoda
Hideaki Nozato
spellingShingle Wataru Kokuyama
Tomofumi Shimoda
Hideaki Nozato
Vibration measurement without the Heydemann correction
Measurement: Sensors
Vibration measurement
Cyclic error
Spectral analysis
Digital filter
author_facet Wataru Kokuyama
Tomofumi Shimoda
Hideaki Nozato
author_sort Wataru Kokuyama
title Vibration measurement without the Heydemann correction
title_short Vibration measurement without the Heydemann correction
title_full Vibration measurement without the Heydemann correction
title_fullStr Vibration measurement without the Heydemann correction
title_full_unstemmed Vibration measurement without the Heydemann correction
title_sort vibration measurement without the heydemann correction
publisher Elsevier
series Measurement: Sensors
issn 2665-9174
publishDate 2021-12-01
description We propose a novel signal-processing technique to avoid cyclic errors in laser interferometers instead of an elliptical fitting, known as the Heydemann correction. It is based on a simple superposition of background motions to average out the effect of cyclic errors. With a simulation, we show that a single-frequency vibration can be extracted by applying filtering and fitting to the displacement data with an adding linear drift. We also experimentally show that the technique reduces the measured dispersion of the vibration amplitude. It offers a simple and economic interferometer for the single-frequency vibration measurement in primary vibration calibration systems.
topic Vibration measurement
Cyclic error
Spectral analysis
Digital filter
url http://www.sciencedirect.com/science/article/pii/S2665917421000994
work_keys_str_mv AT watarukokuyama vibrationmeasurementwithouttheheydemanncorrection
AT tomofumishimoda vibrationmeasurementwithouttheheydemanncorrection
AT hideakinozato vibrationmeasurementwithouttheheydemanncorrection
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