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Acoustic velocity measurements in the air by means of Laser Doppler Velocimetry: Cramér-Rao Bounds and Maximum Likelihood Estimation

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 Cramér-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. At last, estimators performance are illustrated by means of Monte-Carlo simulations obtained from synthesized signals and the statistical efficiency of the MLE is checked out.