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Comparative analysis of the Doppler measurement methods

The accuracy of the autocorrelation function method, spectral function method, and maximum likelihood method, as a function of the parameters of the turbulent atmosphere, is studied and compared. The cases of the stable, unstable, and indifferent stratification are considered. The theoretical analysis of the Gaussian and non-Gaussian frequency fluctuations shows that the measurement accuracy of the Doppler shift depends strongly on the state of the turbulent atmosphere, the parameters of the Doppler Lidar and on the method used.