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Experiments in Fluids

, Volume 50, Issue 1, pp 179–188 | Cite as

Estimation of power spectral density from laser Doppler data via linear interpolation and deconvolution

  • S. MoreauEmail author
  • G. Plantier
  • J.-C. Valière
  • H. Bailliet
  • L. Simon
Research Article

Abstract

Spectral estimation of irregularly sampled velocity data issued from Laser Doppler Anemometry measurements is considered in this paper. A new method is proposed based on linear interpolation followed by a deconvolution procedure. In this method, the analytic expression of the autocorrelation function of the interpolated data is expressed as a linear function of the autocorrelation function of the data to be estimated. For the analysis of both simulated and experimental data, the results of the proposed method is compared with the one of the reference methods in LDA: refinement of autocorrelation function of sample-and-hold interpolated signal method given by Nobach et al. (Exp Fluids 24:499–509, 1998), refinement of power spectral density of sample-and-hold interpolated signal method given by Simon and Fitzpatrick (Exp Fluids 37:272–280, 2004) and fuzzy slotting technique with local normalization and weighting algorithm given by Nobach (Exp Fluids 32:337–345, 2002). Based on these results, it is concluded that the performances of the proposed method are better than the one of the other methods, especially for what concerns bias and variance.

Keywords

Power Spectral Density Laser Doppler Anemometry Weighting Algorithm Power Spectral Density Estimation Laser Doppler Anemometry Measurement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The authors would like to acknowledge the data-processing site http://www.ldvproc.nambis.de from which the experimental LDA and CTA data were obtained for the comparisons reported in Sect. 5.

References

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • S. Moreau
    • 1
    Email author
  • G. Plantier
    • 2
  • J.-C. Valière
    • 3
  • H. Bailliet
    • 3
  • L. Simon
    • 1
  1. 1.Laboratoire d’Acoustique de l’Université du Maine, UMR-CNRS 6613Le Mans Cedex 09France
  2. 2.Ecole Supérieure d’Electronique de l’OuestAngers Cedex 01France
  3. 3.Département Fluides, Thermique, CombustionInstitut Prime, CNRS, Université de Poitiers, ENSMA, ESIPPoitiers CedexFrance

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