Analysis of a frequency estimator for a class of laser signals with time-varying amplitude

Author

Galtier, F. ; Besson, O.

Author_Institution

Dept. of Avionics & Syst., Ecole Nat. Superieure d´´Ingenieurs de Genie Chimique, Toulouse, France

Volume

145

Issue

2

fYear

1998

fDate

4/1/1998 12:00:00 AM

Firstpage

109

Lastpage

118

Abstract

The authors address the problem of estimating a particle´s velocity in the vicinity of an aircraft by means of a laser velocimeter. A model for the signal generated by a particle of air passing through a probe volume consisting of equidistant bright and dark fringes is given. From this model, a frequency estimator based on the phase of the correlation sequence of the signal is proposed. A theoretical analysis of the frequency estimator is presented. In particular, a formula for the variance of the estimate is derived under the assumption of small estimation errors. Numerical examples confirm the validity of the analysis. It is reported that this estimator, although simpler than the maximum likelihood approach, comes close to the Cramer-Rao bound. Finally, the effectiveness of the proposed algorithm is demonstrated on real data

Keywords

aircraft; aircraft instrumentation; frequency estimation; laser velocimetry; optical correlation; velocity measurement; Cramer-Rao bound; aircraft; aircraft speed measurement; correlation sequence phase; estimate variance; frequency estimator; laser signals; laser velocimeter; maximum likelihood approach; on-board laser-based system; particle velocity estimation; probe volume; real data; small estimation errors; time-varying amplitude;

fLanguage

English

Journal_Title

Radar, Sonar and Navigation, IEE Proceedings -

Publisher

iet

ISSN

1350-2395

Type

jour

DOI

10.1049/ip-rsn:19981671

Filename

676619