Optical signal processing from observed objects the method of the least square Prony with weighing observations

This paper describes the implementation of a technique to improve the accuracy of spectral evaluation of periodic changes in the brightness of multifrequency reflections from space objects under conditions of a smooth change in their intensity. A comparative analysis is carried out to determine the relative deviation of the estimate of the rotational speed $\Delta F$ by the classical method of the smallest squares of the Proni and weighing observations.