Fundamentals of Digital Communication

Course: Econophysics

Structural unit: Faculty of Radiophysics, Electronics and Computer Systems

Title
Fundamentals of Digital Communication
Code
ВК.1.03
Module type
Вибіркова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2024/2025
Semester/trimester when the component is delivered
8 Semester
Number of ECTS credits allocated
4
Learning outcomes
The student must know: the functional structure of a digital communication channel; the concept of the signal space as a linear space; classification and characteristic features of the main methods of digital modulation; the purpose of a matched filter; the application of the maximum likelihood criterion in the problems of optimal signal reception; spectral properties of sample sequences and the origin of superposition noise; the method of signal subsampling and its application. The student must be able to: apply visual programming methods for modeling a digital communication channel; for the selected method of digital modulation, calculate the probability of a signal detection error; determine the required bandwidth for the selected method of signal modulation; conduct a comparative analysis of digital modulation methods in terms of the signal/noise ratio, bandwidth efficiency and probability of detection error.
Form of study
Full-time form
Prerequisites and co-requisites
The educational discipline "Fundamentals of Digital Communication" is based on a cycle of disciplines of professional and practical training: "Mathematical Analysis", "Algebra", "Differential Equations and Probability Theory", "Fundamentals of Programming", "Radio Circuits and Signals". The student must know: the basics of Fourier analysis, the concept of Euclidean space, the concept of probability and the moment of a random variable, the concept of the correlation function and the power spectral density of a random process, the model of an electric circuit as a linear system. The student must be able to: analyze and solve physical problems using the methods of mathematical analysis, probability theory and algorithmic programming.
Course content
The course studies the theoretical foundations of analysis and development of digital communication systems. The structure and functional components of a telecommunications system are considered. Emphasis is placed on mathematical models of these components. Specific issues considered in the course include spectral analysis of analog-to-digital conversion, analysis of types of digital modulation in the Hilbert space of signals, optimal detection and error probability, entropy and optimal coding of a discrete information source. Practical classes are an independent component of the course and allow the student to learn to apply the acquired theoretical knowledge to analyze the functional components of a telecommunications channel through its computer modeling.
Recommended or required reading and other learning resources/tools
1. Sklar, B. Digital Communications: Fundamentals and Applications, 2nd Edition: Prentice Hall PTR, 2001. - 1079 pages 2. Proakis, J. G., Salehi, M. Digital Communications, 5th Edition: McGraw-Hill Education, 2007. – 1150 pages. 3. Волощук Ю.І. Сигнали та процеси у радіотехніці. Том 1. - Харків: Компанія СМІТ, 2003. — 580 с. 4. Волощук Ю.І. Сигнали та процеси у радіотехніці. Том 2. - Харків: Компанія СМІТ, 2003. — 444 с.
Planned learning activities and teaching methods
Lectures, practical classes, tests.
Assessment methods and criteria
The thematic plan of lectures is divided into two substantive modules. After completion of lectures No. 8 and No. 14, written modular tests are conducted. Practical classes form a separate third module. It is mandatory to receive a score for each module test and for work on practicals, which is not less than 60% of the maximum. In the event of a student's absence for good reasons, the completion and resiting of module tests and practicals are carried out in accordance with the "Regulations on the Organization of the Educational Process at Kyiv National University".
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Mykola Vasyliovych Maksyuta
Department of mathematics and Theoretical Radio Physics
Faculty of Radiophysics, Electronics and Computer Systems

Departments

The following departments are involved in teaching the above discipline

Department of mathematics and Theoretical Radio Physics
Faculty of Radiophysics, Electronics and Computer Systems