Cramer-Rao Bounds for sound field measurements by means of Laser Doppler Velocimetry

Laser Doppler Velocimetry (LDV) is a method for measuring acoustic particle velocity in a fluid. This article presents the approximated analytical forms of the Cramer-Rao Bounds (CRB) for the velocity parameters estimation. This study shows that these simplified CRB, which give the lower limits of the variance of any estimator, are close to the exact CRB obtained numerically. These expressions can be very useful in order to guide the choice of the data acquisition parameters.