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

Author

Simon, Laurent ; Richoux, Olivier ; Degroot, Anne ; Lionet, Louis

Author_Institution

CNRS, Univ. of Le Mans, Le Mans

Volume

57

Issue

7

fYear

2008

fDate

7/1/2008 12:00:00 AM

Firstpage

1455

Lastpage

1464

Abstract

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 Cramer-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 us to validate this estimator.

Keywords

Doppler measurement; acoustic field; acoustic wave velocity measurement; aeroacoustics; flow measurement; laser velocimetry; least mean squares methods; CRB calculation; Cramer-Rao bound calculation; LMS-based algorithm; acoustic field; acoustic velocities; laser Doppler velocimetry; least-mean-square algorithm; mean flow velocities; Acoustic velocity; CramÉr–Rao bound (CRB); Cram??r??Rao bound (CRB); laser Doppler velocimetry (LDV); least-mean-square (LMS) method; mean flow velocity;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/TIM.2008.917670

Filename

4460808