Title :
Bounds for estimation of particle´s velocity from laser measurements
Author :
Besson, Olivier ; Galtier, Frùdùric
Author_Institution :
Dept. of Avionics & Syst., ENSICA, Toulouse, France
Abstract :
The problem of estimating the speed of a particle of air passing through the region of interference fringes generated by two coherent laser beams is addressed. The signal detected is of the form A.exp{-2α2.fd2t2 }cos(2πfdt)-where the Doppler frequency fd is related to particle´s velocity. This paper is concerned with the best accurate estimation of the parameters A and fd in the model considered. Cramer-Rao bounds on the accuracy of estimates of A and fd are derived and closed-formed expressions are given. Approximate formulas provide quantitative insights into the influence of α and fd. Additionally, a maximum likelihood estimator is presented. Numerical examples illustrate the performance of the MLE and compare it with the CRB. The influence of the SNR, the sample size, the optical parameter α and the frequency f d on the estimation performance are emphasized
Keywords :
Doppler measurement; flow measurement; laser velocimetry; maximum likelihood estimation; optical information processing; particle velocity analysis; velocity measurement; Cramer-Rao bounds; Doppler frequency; closed-formed expressions; coherent laser beams; estimation bounds; estimation performance; interference fringes; laser measurements; maximum likelihood estimator; particle velocity; speed; Fluid flow measurement; Frequency estimation; Interference; Laser beams; Maximum likelihood estimation; Mechanical variables measurement; Optical scattering; Particle measurements; State estimation; Velocity measurement;
Conference_Titel :
Statistical Signal and Array Processing, 1996. Proceedings., 8th IEEE Signal Processing Workshop on (Cat. No.96TB10004
Conference_Location :
Corfu
Print_ISBN :
0-8186-7576-4
DOI :
10.1109/SSAP.1996.534864
