Solving the Problem of Convergence of the Results of Analog Signals Conversion in the Process of Aircraft Control

The problem of comparison of the convergence rate of the Fourier transform of rectangular linear matrix summation methods and triangular linear matrix summation methods has been investigated. For mathematical models used in aircraft construction an asymptotic equality has been obtained which determines the convergence rate of the Fourier transform of the summing function given by the triangular linear Abel-Poisson summation method for all functions of the Hölder class. The obtained results can be applied in real signal processing systems, which are based on the usage of Fourier transform. The results of the research allow us to conclude that the application of rectangular linear matrix summation methods will increase the convergence rate of the Fourier transform compared with triangular matrix methods of summation of Fourier series. This fact will increase the speed of all signal processing systems and the control system of the aircraft as a whole.