We describe a technique for estimating the parameters of small-scale wind turbulence from the wind velocity measured with a pulsed СО2 coherent Doppler lidar. The pulse length and the spatial resolution are taken to be several hundred meters. Numerical simulations of the lidar wind measurements in the turbulent atmosphere have been performed using real laser pulses emitted from a laser and recorded in the experiments with the WIND lidar system (Ch. Werner et al., Opt. Eng. 40, 115-125 (2001)). The errors of the turbulent parameters estimates from lidar data have been calculated as well.