The paper presents a method of reducing the random errors of estimating the parameters of the atmosphere in the vertical sounding radar systems. Random measurement errors happen due to the influence of noise and result in a lower accuracy of atmospheric parameters, including wind speed. Using a priori information on the parameters of the scattered signal in the process of processing to reduce the amount of random errors. The main purpose is to study the possibilities for reducing the random errors of estimating the parameters of the scattered signal processing systems, radar signals of vertical sounding of the atmosphere. The method of simulation and statistical analysis of the results was used in the study. The research results can be used in development and modernization of radar signal processing vertical sounding of the atmosphere. The use of a priori information in the processing of the scattered signals can reduce the amount of errors of estimating the parameters of the signal, or to reduce the required transmitter power radar OT, which has a positive impact on the size and cost of the system as a whole.