This article is cited in 9 papers

Laser applications and other topics in quantum electronics

Maximum-likelihood estimates of the frequency and other parameters of signals of laser Doppler measuring systems operating in the one-particle-scattering mode

V. S. Sobolev, M. N. Prokopenko

Institute of Automation and Electrometry, Siberian Branch of Russian Academy of Sciences, Novosibirsk

Abstract: Maximum-likelihood equations are presented for estimates of the Doppler frequency (speed) and other unknown parameters of signals of laser Doppler anemometers and lidars operating in the one-particle-scattering mode. Shot noise was assumed to be the main interfering factor of the problem. The error correlation matrix was calculated and the Rao — Cramer bounds were determined. The results are confirmed by the computer simulation of the Doppler signal and the numerical solution of the maximum-likelihood equations for the Doppler frequency. The obtained estimate is unbiased, and its dispersion coincides with the Rao — Cramer bound.

PACS: 42.62.Eh, 42.79.Qx

Received: 12.04.2000

 English version: Quantum Electronics, 2000, 30:12, 1109–1114

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