Acoustic Velocity Measurements in the Air by Means of Laser Doppler Velocimetry: Cramer-Rao Bounds and Maximum Likelihood Estimation

Alain Le Duff (1, 2) , Guy Plantier (1, 2) , Jean-Christophe Valière (3) , Richard Perdriau (4, 5)

1 GSII - ESEO-GSII
2 LAUM - Laboratoire d'Acoustique de l'Université du Mans
3 LEA - Laboratoire d'Études Aérodynamiques
4 ESEO-EMC
5 IETR - Institut d'Électronique et des Technologies du numéRique

This paper considers the problem of estimating acoustic particle velocity and convection velocity in the air by means of laser Doppler velocity (LDV) measurement. Closed-form for the Cramer-Rao bounds (CRB) on the estimates of the velocity parameters, for a sine wave excitation, are derived and simplified expressions are given. Moreover, a maximum likelihood estimator (MLE) and a signal phase derivative-based estimator (DBE) are proposed. Finally, estimator performance is illustrated by means of Monte Carlo simulations obtained from synthesized signals and the statistical efficiency of the MLE is checked out.

Domaines: Traitement du signal et de l'image [eess.SP]

Alain Le Duff, Guy Plantier, Jean-Christophe Valière, Richard Perdriau. Acoustic Velocity Measurements in the Air by Means of Laser Doppler Velocimetry: Cramer-Rao Bounds and Maximum Likelihood Estimation. IEEE International Conference on Acoustics, Speech, and Signal Processing - ICASSP'02, May 2002, Orlando, United States. pp.1325--1328, ⟨10.1109/ICASSP.2002.5744047⟩. ⟨hal-01206839⟩