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An algorithm to minimize errors in displacement measurements via double integration of noisy acceleration signals

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Abstract

This paper presents analyses of noise effects in displacement histories measured by double numerical integration of acceleration data. Since such noise-induced errors tend to be highly random, they must be estimated statistically. The noise root mean square (RMS) value can be used to estimate its effect on the actual resolution of acceleration measurements, and a good low-pass filter can improve this resolution. This RMS value can be estimated by multiplying the noise density by the square root of the cutoff frequency of the filter used. However, this information alone cannot estimate the displacement resolution directly. To mitigate this problem, this study proposes suitable parameters to estimate the error induced in displacements measured by double integration of noisy acceleration data and shares a code that can be used to minimize such errors.

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Acknowledgements

“This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001.”

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Authors and Affiliations

  1. Mechanical Engineering Department, Rio de Janeiro State University, Rio de Janeiro, RJ, Brazil

    José Geraldo Telles Ribeiro

  2. Mechanical Engineering Department, Catholic University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil

    Jaime Tupiassú Pinho de Castro & Marco Antonio Meggiolaro

Authors
  1. José Geraldo Telles Ribeiro
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  2. Jaime Tupiassú Pinho de Castro
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  3. Marco Antonio Meggiolaro
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Corresponding author

Correspondence to José Geraldo Telles Ribeiro.

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Technical Editor: Monica Carvalho.

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Appendices

Appendix 1: Used noise generator algorithm in Matlab

figure a

Appendix 2: Proposed FFT-DDI algorithm in Matlab

figure b

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Ribeiro, J.G.T., de Castro, J.T.P. & Meggiolaro, M.A. An algorithm to minimize errors in displacement measurements via double integration of noisy acceleration signals. J Braz. Soc. Mech. Sci. Eng. 43, 385 (2021). https://doi.org/10.1007/s40430-021-03097-z

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  • DOI: https://doi.org/10.1007/s40430-021-03097-z

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