Abstract:

The relevance of the problem such as reproducing digital signals with specified energy characteristics and the variety of contemporary methods for solving this problem justifies singling out a spectral imitation of signals into an independent educational section in the preparation of engineers in the field of digital processing and information technology.

Within the framework of academic disciplines devoted to digital signal processing and real-time systems, it is proposed to supplement the traditional stages of the educational process based on the study of theory with practical work and testing of knowledge and skills. At the stage of studying theory, students get acquainted with those sections of the theory of digital signal processing that form the mathematical foundation for signal simulation. Systems of basis functions, spectral transformations based on the Fourier kernel, construction of algorithms for simulating deterministic and random signals are studied. At the same time, students are offered examples of program code that implements the mathematical procedures being studied, which connects theory with practice and contributes to the formation of a holistic view of the signal simulation in the spectral region. The practical stage is carried out in the form of laboratory work, individual scientific and practical tasks, which are devoted to the experimental study of algorithms on various energy characteristics and simulation parameters. The stage of assessing knowledge and skills is necessary to control the assimilation of the material by students and their capability for further independent research and development in this area and is carried out in an automated way.

At each stage, it is proposed to use the tools of the popular modeling environment MATLAB from MathWorks: MATLAB Live Scripts with examples of program code – to study theoretical information, Simulink – to research simulation algorithms, MATLAB Grader – to carry out control activities.

The proposed educational model is invariant to the form of conducting classes: the software used does not require mandatory personal contact of the participants in the educational process, their interaction can be organized remotely. The same scheme can be applied to related disciplines such as digital filtering or fast transformations in digital processing. It should be noted that teaching according to the proposed model reduces the teacher's involvement in class with students but requires a deeper methodological study of educational materials in the range from theoretical summaries to the fund of assessment tools.

The results can be applied for the modernization of existing and the development of new curricula and disciplines in the process of training engineering personnel.

Keywords:

Digital signal processing, signal simulation, algorithm research, MATLAB, Simulink, Fourier kernel, spectral transformation.