The Function Space to Describe the Dynamics of Linear Systems

There are two models of a random stationary process with a continuous spectrum of Wiener and the discrete spectrum of E. Slutsky. The first model of Wiener is often used. It is shown that this assumption leads to the absurdity of the equation Wiener-Hopf. The contradictions disappear in the theory of random stationary processes in the transition to a different model of a random process with discrete spectrum. Random ergodic stationary processes have on the mean and do not have the ergodicity of the variance and correlation functions. The struggle is based on the correlation functions of random processes with interference on the Wiener. Correct correlation functions cannot be obtained. Therefore, frequency analysis of random processes is proposed instead of the correlation analysis. The frequency analysis results in a more effective method of combating additive noise. The new method was used to identify the dynamic characteristics of the Airbus on the data obtained during the automatic landing.