ZD_10 Theory of signals and systems

Faculty of Arts
Spring 2025
Extent and Intensity
2/3/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Radim Číž, Ph.D. (lecturer)
doc. Ing. Jiří Schimmel, Ph.D. (assistant)
Guaranteed by
doc. Ing. Kamil Říha, Ph.D.
Department of Musicology – Faculty of Arts
Contact Person: Ing. Alena Albíniová
Supplier department: Department of Musicology – Faculty of Arts
Prerequisites
ZD_06 Math and Physics
In general, the secondary-school level of knowledge from the area of mathematics and physics is required. It is also assumed that student can compute the derivative and integral of a function, modify equations with logarithms, complex numbers and trigonometric functions, solve linear equations. A general knowledge of programming and computer skills are welcomed.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
To give to students basic information about one-dimensional signals and systems with continuous and discrete time and to explain the concept of frequency spectrum of signal, frequency characteristics of system and the principle of analogue-to-digital conversion and signal filtration.
Learning outcomes
Student, who passed the course, is able:
- to distinguish basic kinds of signals, to perform basic mathematical operations with them,
- to compute and draw frequency spectra of periodic signals,
- to list main characteristics of systems, define their basic parameters,
- to classify frequency filters, to explain principle of signal filtration,
- to list and explain principle of basic analog modulations,
- to compare and highlight differences between continuous-time signals and discrete-time signals,
- to explain principle of signal sampling and reconstruction, to describe functions of the individual blocks of A/D and D/A convertors,
- to apply the required knowledge about the principle of A/D and D/A conversion to specific examples related to the digitalization of audio signals,
- to describe the Fourier transform using mathematical equation and explain its meaning,
- to define and calculate basic characteristics of a random signal,
- to calculate power spectral density of signal.
Syllabus
  • 1. Signals and their mathematical models, examples of real signals.
  • 2. Basic signal operations.
  • 3. Periodic signals and their spectrum.
  • 4. Systems and their parameters.
  • 5. Continuous-time systems and signal filtration.
  • 6. Analog modulations.
  • 7. Sampling of continuous-time signals and A/D conversion.
  • 8. D/A conversion and signal reconstruction.
  • 9. Discrete-time signals.
  • 10. Fourier transform of discrete-time signals.
  • 11. Random signals and their description, probability theory.
  • 12. Power spectral density and its calculation.
  • 13. Discrete-time systems.
Literature
    required literature
  • OPPENHEIM, Alan V. - WILLSKY, Allan S.: Signals and systems. 2nd ed., Pearson, 2014, ISBN 978-1-292-02590-2
  • CHAPARRO Luis - AKAN Aydin: Signals and Systems using MATLAB. 3rd ed., Elsevier Science Publishing. ISBN 978-0128142042
  • Signals & systems for dummies. Edited by Mark Wickert. Hoboken, NJ: Wiley, 2013, xvi, 366 p. ISBN 9781118475836. info
  • NEVŘIVA, Pavel. Analýza signálů a soustav. 1. vyd. Praha: BEN-technická literatura, 2000, 671 s. ISBN 8073000040. info
Teaching methods
Teaching methods comprehend lectures and computer exercises. During the lectures, the theory is explained with the aid of MATLAB-SIMULINK models and solution of typical examples. The MATLAB software is used for computer exercises too. They are focused on solving practical problems from the field of signal processing.
Assessment methods
The final grade depends on total sum of points obtained during the computer exercises and for the written exam of the course. Student can get:
- up to 30 points for all computer exercises, during them student obtain points for correctly processed tasks and for the correctly answered questions of the final test.
- up to 70 points for compulsory exam, which has a written form and only students who passed ¾ of computer exercises, at least, and the final test can try to pass the exam. If the examiner has a problem with the evaluation of the written exam, he/she can put supplement oral questions to the student.
50 points is the minimum needed to successfully pass the course.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (Spring 2025, recent)
  • Permalink: https://is.muni.cz/course/phil/spring2025/ZD_10