Alternative to the Well-known Statistical Dynamics of Linear Systems

This paper deals with the identification of multidimensional control systems in the class of linear time-invariant models. This problem is solved by well-known methods of statistical dynamics. Interference suppression is applied correlation analysis. It turned out that the assumption of ergodicity of stationary random processes is not performed. The correlation functions cannot be found by averaging over the set of realizations in most cases. Therefore, there was a task to determine an alternative method of interference suppression. Found that the implementations of random and deterministic signals are discrete spectra. It is shown that a system of independent sets of signal and noise are a semicircle. It is proved that the images and transforms the signals are not precise semicircle. These properties are used for suppression of the frequency method. Example is the determination of the dynamic characteristics of the aircraft in accordance with the data obtained in one automatic landing.