Skip to main content

Maximum likelihood approaches for sound field measurement using LDV

  • Conference paper
Laser Techniques for Fluid Mechanics

Abstract

Acoustic particle velocity can be estimated from LDV measurements. The amplitude and phase of the velocity are inferred from adapted signal processing of the LDV signal. Many investigations covering a wide range of signal processing method have been developed to analyze this signal, such as the adaptation to techniques developed in fluid mechanics based on the random sampling principle or photo-correlation estimation using the temporal amplitude variation. Time-frequency representations are also used to estimate velocity parameters using the estimation of the instantaneous frequency of the signal.

The best result obtained up to now, in the configuration of low displacement of the particle, has been realized with the use of parametric time-frequency estimators. To further extend the estimation capability to lower displacement, two parametric methods, the maximum likelihood (ML) and the least squares (LS) estimators, using a priori information of the signal, are developed. Their estimation capabilities are evaluated on simulated signals and a preliminary testing with experimental signals is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  • Bailliet, H., Lotton, P., Bruneau M. and Gussev., V. (2000). “Acoustic power flow measurement in thermoacoustic resonator by means of the LDA and microphonic measurement”. Applied acoustic, 60(1), pp 1–11.

    Article  Google Scholar 

  • Boashash, B. and O’Shea, P. (1990). “Algorithms for instantaneous frequency estimation: A comparative study”. Proc. SPIE Conf. Advanced Acous., Speech and Sig. Process., 1348 San Diego.

    Google Scholar 

  • Nedler, J.A. and Mead, R. (1975) “A simplex method for function minimization”. Computer J., 7, pp. 308313, 1965.

    Google Scholar 

  • Mellet, C, (2000), «Méthodes paramétriques pour estimer la vitesse particulaire acoustique de faible niveau par l’ anémométrie laser Doppler», Ph D thesis, Université du Maine, Le Mans (France).

    Google Scholar 

  • Poggi, S., Gazengel, B. and Valière, J.-C. (2000) “Evaluation of the performance of two acquisition and signal processing systems for acoustic particle velocity measurement”. 4d’ International Symposium of Vibration measurement by laser techniques, SPIE 4072 June 20–23, Ancona (Italy).

    Google Scholar 

  • Poggi, S. (2000) “Contribution au développement d’un banc de mesure de la vitesse particulaire acoustique par vélocimétrie laser doppler (VLD): évaluation des résultats et applications” PhDthesis, Université du Maine, Le Mans (France).

    Google Scholar 

  • Rife, D.C. and Boorstyn, R.R. (1974) “Single tone Parameter Estimation from Discrete-Time Observations”. IEEE Trans. on Information Theory V20 (5), pp. 591–598.

    Article  MATH  Google Scholar 

  • Sharpe, J.P and Greated, C. (1987). “The measurement of periodic acoustic field using photon correlation spectroscopy”. J. Phys. D. Appl. Phys., 20, pp. 418–423.

    Article  Google Scholar 

  • Taylor, K.J. (1976). “Absolute measurement of acoustic particle velocity”. J. Acoust. Soc. Am., 59 (3), pp. 691–694.

    Article  Google Scholar 

  • Valeau, V. (1999), “Mesure de la vitesse acoustique particulaire par anémométrie laser doppler: estimation de fréquence instantanée à variation sinusoïdale, validation de la mesure”. PhD thesis, Université du Maine, Le Mans (France).

    Google Scholar 

  • Valière, J.-C., Herzog, P., Valeau, V. and Tournois, G. (2000). “Acoustic velocity measurements in the air by means of Laser Doppler Velocimetry: Dynamic and frequency range limitations and signal processing improvements”. J. Sound and Vib., 229 (3), pp. 607–626.

    Article  Google Scholar 

  • Ville, J. (1948). “Théorie et application de la notion de signal analytique”. Cables et transmissions, 2A, pp. 61–74.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mellet, C., Valiere, J.C. (2002). Maximum likelihood approaches for sound field measurement using LDV. In: Laser Techniques for Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08263-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-08263-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07677-0

  • Online ISBN: 978-3-662-08263-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics