Laser Doppler Velocimetry for Joint Measurements of Acoustic and Mean Flow Velocities : LMS-based Algorithm and CRB Calculation

Laurent Simon (1) , Olivier Richoux (1) , Anne Degroot (1) , Louis Lionet (1)

1 LAUM - Laboratoire d'Acoustique de l'Université du Mans

This paper presents a least mean square (LMS) algorithm for the joint estimation of acoustic and mean flow velocities from laser doppler velocimetry (LDV) measurements. The usual algorithms used for measuring with LDV purely acoustic velocity or mean flow velocity may not be used when the acoustic field is disturbed by a mean flow component. The LMS-based algorithm allows accurate estimations of both acoustic and mean flow velocities. The Cramér-Rao bound (CRB) of the associated problem is determined. The variance of the estimators of both acoustic and mean flow velocities is also given. Simulation results of this algorithm are compared with the CRB and the comparison leads to validate this estimator.

Mots clés: Acoustic velocity; Cramér–Rao bound (CRB); laser Doppler velocimetry (LDV); mean flow velocity; least-mean-square (LMS) method

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Laurent Simon, Olivier Richoux, Anne Degroot, Louis Lionet. Laser Doppler Velocimetry for Joint Measurements of Acoustic and Mean Flow Velocities : LMS-based Algorithm and CRB Calculation. IEEE Transactions on Instrumentation and Measurement, 2007, 57 (7), pp.1455-1464. ⟨10.1109/TIM.2008.917670⟩. ⟨hal-00402122⟩