This paper presents the comparison study of the theoretical and the empirical Cramer-Rao lower bounds (CRLBs) of
wind parameter estimates from a 2-μm wavelength coherent Doppler lidar system called VALIDAR located in NASA
Langley Research Center in Virginia. The statistical behavior of Doppler shift (DS) estimates in particular is of interest.
The estimates are commonly modeled as single-modal Gaussian random variables and this study is based on such
convention. The empirical statistics of DS estimates are estimated from a large amount of sample data in order to obtain
meaningful statistical moments. The impact of the new nonlinear adaptive Doppler-shift estimation technique known as
NADSET is also briefly presented in terms of the statistics of wind parameter estimates.