Abstract:

Digital signal processing is an essential component within engineer’s theoretical and practical training. Studying algorithms imitating determined and random signals in spectral area used in exploring and developing real-time systems plays an important role in new engineers' preparation. While studying such algorithms students master basics of correlation theory, basis function systems both classical and generalized, and different kinds of spectral signal's transformations. Special attention is given in the paper to questions of imitating multidimensional signals in addition to one-dimensional ones.

The above mentioned tasks call for specialized software of mastering the main principles of synthesis and using the algorithms of multidimensional signal imitation. The original software system designed to imitate two-dimensional random signals in Fourier basis assists students in their practical work and in their research. With a help of the software the engineers can handle practical and scientific tasks successfully involving two-dimensional signal processing. The system’s example given in the paper makes principles of spectral multidimensional signal imitation open for familiarization.

Signal’s spectral representation in the form of the spectral density function defined by a user demonstrates the mathematical foundation for the software system developed. As well as the paper demonstrates distinct two-dimensional signal realizations sharing the same spectral density function thus allowing students to learn specific features regarding to both forward and inverse Fourier transform. It is applied to multidimensional signals also.

The approach towards imitation inherent in the software system permits to introduce orthogonal bases capable for representing multidimensional signals spectrally.

An additional feature of practical use within the software system is its open structure and its modifiable code in Python programing language which enables students to use Python's examples to get acquainted with the process of software development in the area of digital signal processing.

The paper shows that integrating new software system into the educational process preparing engineers in the area of information technology to develop their theoretical knowledge and practical competence.

Acknowledgement:
The discussed in this paper results were obtained in the framework of the Research Project titled "Component's digital transformation methods' fundamental reseach for micro- and nanosystems" (Project #0750-2020-0041) financially supported be the Russian Federation Ministry of Science and Higher Education.

Keywords:

Digital signal processing, signal imitation algorithms, random signals, multidimensional signals, two-dimensional signals, spectral transforms, software system.