Subject

Signal processing

Course Title

Signal processing
Signal processing

Code

F23L3S047

Study Programme

Computer engineering

Organizer of the study programme (unit, institute, department or division)

Faculty of Computer Science and Engineering

Degree level (first, second, third cycle)

First Cycle

Academic year / semester

6 / Summer

Number of ECTS credits

Teacher

Lasko Basnarkov

Prerequisites for enrolling in the course

Mathematics 1 or Calculus 1

10.

Objectives of the course programme (competences)

Knowledge of the fundamentals and techniques of digital signal processing is important for any engineer working on applications that involve signal processing. The course introduces students to the theoretical foundations of digital signal processing, including quantization, the Fourier transform, and the Z-transform. Students will also gain knowledge of basic tools such as digital IIR and FIR filters. The course will also cover the fundamentals of control theory. Through numerous examples and exercises, students will learn to practically use ready-made signal processing tools.

11.

Course content

Lectures:
1. Introduction to Digital Signal Processing and the necessary mathematical skills
2. Basic signals in discrete time and their operations
3. Discrete Fourier Transform and Discrete-Time Fourier Transform
4. Relations between the Fourier transforms and their properties
5. Fast Fourier Transform
6. Linear Time-Invariant Systems
7. z – transformation and inverse z – transformation
8. Digital Filters. Filter Design
9. Sampling and Interpolation
10. Processing of stochastic signals and quantization
11. Two-Dimensional Fourier Analysis
12. Fundamentals of Management Theory

Practical Classes:
1. Review of the mathematical tools necessary for digital signal processing
2. Solving problems with basic types of signals in discrete time
3. Solving Problems with the Discrete Fourier Transform
4. Solving problems where the properties of Fourier transforms are applied
5. Solving problems with practical computation of the discrete Fourier transform
6. Solving problems with linear time-invariant systems
7. Solving problems with the z-transform and the inverse z-transform
8. Solving Problems by Designing Filters
9. Solving Problems with Signal Sampling and Interpolation
10. Solving Problems with Stochastic Signals and Signal Quantization
11. Solving simple tasks with two-dimensional Fourier analysis
12. Solving simple examples with control theory

12.

Learning methods

Lectures using presentations, interactive lectures, exercises (using equipment and software packages), teamwork, case studies, guest lectures, independent preparation and defense of a project assignment and a seminar paper.

13.

Total available time

6 ECTS x 30 hours = 180 hours

14.

Distribution of available time

30 + 45 + 15 + 15 + 75 = 180 hours

15.

Forms of teaching activities

15.1.	Lectures - theoretical instruction	30 hours
15.2.	Exercises (laboratory, auditory), seminars, teamwork	45 hours

16.

Other forms of activities

16.1.	Project assignments	15 hours
16.2.	Independent assignments	15 hours
16.3.	Home study	75 hours

17.

Assessment method

17.1.	Tests	10 points
17.2.	Seminar paper / project (presentation: written and oral)	15 points
17.3.	Activities and learning	10 points
17.4.	Final exam	70 points

18.

Grading criteria (points / grade)

up to 50 points	5 (five) (F)
from 51 to 60 points	6 (six) (E)
from 61 to 70 points	7 (seven) (D)
from 71 to 80 points	8 (eight) (C)
from 81 to 90 points	9 (nine) (B)
from 91 to 100 points	10 (ten) (A)

19.

Requirement for obtaining a signature and taking the final exam

Activities 15.2 and 16.1 have been completed.

20.

Language of instruction

Macedonian and English

21.

Method for monitoring the quality of teaching

internal evaluation and survey mechanism

22.

Literature

22.1.	Required literature 1. Paolo Prandoni and Martin Vetterli \| Signal Processing for Communications \| EPFL Press \| 2008 2. Winser Alexander and Cranos Williams \| Digital Signal Processing: Principles, Algorithms and System Design \| Academic Press \| 2016 3. Li Tan and Jean Jiang \| Digital Signal Processing: Fundamentals and Applications \| Academic Press \| 2013
22.2.	Additional literature No. Author Title Publisher Year