RESEARCH OF PERIODIC ELECTRICAL SIGNALS USING THE MATHCAD APPLICATION PACKAGE
Keywords:
Fourier series, numerical methods, Mathcad package, Dirichlet condition, periodic electrical signals, harmonic oscillations, even and odd functions, stress graphs, series coefficients.Abstract
The study of anharmonic periodic electrical oscillations or signals is one of the important problems of electrical and radio engineering. Currently, the issues of electrical signals have become deeply studied in the theory of information. The article deals with some questions of decomposition of periodic functions into Fourier series from the point of view of higher mathematics. Under Dirichlet conditions, the periodic function was used at certain intervals. In which the function has a maximum and minimum value. The results of decomposition of functions into Fourier series are presented. These functions describe electrical signals in various circuits. The application of numerical methods is implemented using the Mathcad package. The features of the Fourier series expansion of even and odd functions are revealed. Graphical, numerical, and analytical solutions for harmonic analysis of periodic and non-periodic functions are presented. A method for calculating the sum of the terms of the Fourier series for periodic functions is proposed.
