Course detail

# Signals 1

1. Introduction to the theory of signals and systems, basic signal operations, harmonic signal
2. Periodic signals, typical examples, rectangular pulses
3. Non-periodic and quasiperiodic signals, typical examples
4. Fourier transform, spectral function of selected signals
5. Correlation and convolution, properties, practical applications, relationship
6. Continuous-time systems, Laplace transform, transfer function
7. Continuous-time systems analysis, linear and non-linear systems
8. Conversions between analog and digital signals, sampling, quantization
9. Properties of digital signals, reconstruction of signal from samples
10. Discrete Fourier transform, use of DFT, principle of FFT calculation
11. Discrete-time systems, discrete-time systems, characteristics
12. Analysis of discrete-time systems, test signals
13. Practical examples on the use of signal analysis and systems

Language of instruction

Czech

Number of ECTS credits

7

Mode of study

Not applicable.

Entry knowledge

Basic knowledge of bachelor mathematics is requested (derivations, integrals, solution of equations, fundamentals of probability analysis, statistical distributions).

Rules for evaluation and completion of the course

Students can obtain maximally 30 points for their activities during semester and 70 points for the final exam. The honored activities are as follows: one test oriented to calculations of signal problems (10 points), in-class computer exercises (10 points) and homeworks (10 points). The written final exam is based on the theory of signals and systems as well as calculations (70 points).
All exercises are compulsory. Missed lessons can be made up usually by the end of semester.

Aims

The course is aimed to present common types of signals and their basic properties to students, and to explain analysis of systems as well as principles of interactions between signals and systems.
The graduate is able: (a) to measure and describe signals, (b) to define and generate required signal, (c) to estimate spectrum and properties of signals, (d) to convert analog signals and digital signals, (e) to analyze systems, (d) to discuss advantages and disadvantages of different signals and methods for signal processing.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

KAMEN, E. W., HECK, B. S. Fundamentals of Signals and Systems. Englewood Cliffs: Prentice Hall, 2016. (EN)
JAN, J. Číslicová filtrace, analýza a restaurace signálů. Brno: VUT v Brně, 2002. (CS)
GIANNAKOPOULOS, T., PIKRAKIS, A. Introduction to Audio Analysis: A MATLAB Approach. New York: Academic Press, 2014. (EN)

Not applicable.

eLearning

Classification of course in study plans

• Programme BKC-EKT Bachelor's, 2. year of study, winter semester, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Syllabus

1. Introduction to signals and systems, basic signal operations, harmonic signal
2. Periodic and nonperiodic signals, typical examples, rectangular pulses
3. Nonperiodic and quasiperiodic signals, typical examples
4. Fourier transform, spectral function of selected signals
5. Correlation and convolution, properties, applications, interrelationship
6. Continuous-time systems, Laplace transform, transfer function
7. Analysis of continuous-time systems, linear and nonlinear systems
8. Conversions between analog and digital signals, sampling, quantization
9. Properties of digital signals, signal recovery
10. Discrete Fourier transform, applications of DFT, FFT-algorithm
11. Discrete-time systems, elementary system blocks, characteristics
12. Analysis of discrete-time systems, testing signals
13. Practical examples for the use of signal and system analysis

Fundamentals seminar

13 hours, compulsory

Teacher / Lecturer

Exercise in computer lab

13 hours, compulsory

Teacher / Lecturer

Syllabus

1. Refreshment of the graphics in MATLAB, continuous periodic signals and Fourier series

2. Power of periodic signals, generation of rectangular signal

3. Rectangular periodic signal, spectrum calculation

4. Generation of aperiodic signals

5. Signal sampling

Laboratory exercise

13 hours, compulsory

Teacher / Lecturer

Syllabus

eLearning