Course detail

Signals 1

FEKT-BPC-SI1Acad. year: 2023/2024

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.

Guarantor

prof. Ing. Milan Sigmund, CSc.

Department

Department of Radio Electronics (UREL)

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), five in-class computer exercises (10 points) and five in-class laboratory exercises (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

MITRA, S. K. Digital signal processing. A computer-based approach. New York: The McGraw-Hill Companies, 2015. (EN)
KAMEN, E. W., HECK, B. S. Fundamentals of Signals and Systems. Englewood Cliffs: Prentice Hall, 2016. (EN)
GIANNAKOPOULOS, T., PIKRAKIS, A. Introduction to Audio Analysis: A MATLAB Approach. New York: Academic Press, 2014. (EN)

Recommended reading

Not applicable.

eLearning

eLearning: currently opened course

Classification of course in study plans

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

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

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

Fundamentals seminar

13 hours, compulsory

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

1. Counting examples according to lectures

2. Counting examples according to lectures

3. Counting examples according to lectures

4. Written test

5. Counting examples according to lectures

6. Counting examples according to lectures

 

Exercise in computer lab

13 hours, compulsory

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

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

2. Power of periodic signals, generation of rectangular signal

3. Rectangular periodic signal, spectrum calculation

4. Generation of aperiodic signals

5. Signal sampling

6. Individual compensation for missed hours

 

Laboratory exercise

13 hours, compulsory

Teacher / Lecturer

Ing. Viera Biolková

Syllabus

1. Analysis of periodic signals

2. Spectra of periodic signals

3. Determining the nonlinear transfer characteristic

4. Effect of nonlinear system on signals

5. Discrete signal processing

6. Individual compensation for missed hours

 

eLearning

eLearning: currently opened course