Keyword: «fourier transform»

The paper considers the Fourier transform of impulse functions, which is the mathematical basis of the tasks associated with the theory of reception and signal conversion in optoelectronic system. The method of calculating of two functions convolution, its Fourier image and the image of the Fourier-Bessel axisymmetric functions are demonstrated in details. A table, which summarizes the analytical expression for the shifted impulse functions and records their Fourier transforms, is provided. A wide range of examples of solving tasks, containing the graphic illustration, is analyzed. A structured approach to the presentation of the material, which combines basic theoretical information and analysis of typical tasks, will help second-year students of optoelectronic specialty in their independent work and homework.

This article describes the types of the primary mathematical processing in the method of the scanning probe microscopy, the algorithm of median filtering and fast Fourier transform to obtain clear images of copper sample surfaces.

The article discusses the task of identifying the state of the investigated object using methods of spectral analysis of its output audio signal. The structure of special software that can solve this problem is described. The relevance of the work is due to the need to search for architectural and software solutions to the problem of identifying the parameters of the object under study.