SubjectsSubjects(version: 899)
Course, academic year 2021/2022
Digital Signal and Image Processing - M445002
Title: Číslicové zpracování signálů a obrazů
Guaranteed by: Department of Computing and Control Engineering (445)
Actual: from 2019
Semester: winter
Points: winter s.:5
E-Credits: winter s.:5
Examination process: winter s.:
Hours per week, examination: winter s.:2/2 C+Ex [hours/week]
Capacity: unlimited / unlimited (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type: Master's (post-Bachelor)
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Švihlík Jan doc. Ing. Ph.D.
Procházka Aleš prof. Ing. CSc.
Interchangeability : AM445002
Is interchangeable with: AM445002
Annotation -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)
The subject includes general methods of analysis and processing of sequences of observed signals and images ( Fundamental mathematical methods include discrete Fourier transform for analysis of multidimensional signals, z-transform for system description, selected statistical and numerical methods including the use of difference equations for the time-domain system description and design of digital filters. Algoritmic methods are implemented in the MATLAB and Simulink environment using both numerical methods and symbolic mathematics. Projects include the application of selected methods for biomedical signal and image analysis, environmental signal processing and energy data prediction.
Aim of the course -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)

Students will know how

(i) to analyze time series and images by discrete Fourier and wavelet transforms,

(ii) to use z-transform for discrete systems description,

(iii) to apply digital filters in time and frequency domains,

(iv) to use digital signal processing methods for real data analysis

Literature -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)

R:T. Bose: Digital Signal and Image Processing, Wiley, 2004

R:J. Uhlíř, P. Sovka, Číslicové zpracování signálů, Vydavatelství ČVUT, 2002

A:J. Jan, Číslicová filtrace, analýza a restaurace signálů, BEN 2004


Learning resources -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)

Requirements to the exam -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)

In the frame of computational laboratories it is necessary to evaluate 3 projects including mathematical analysis of methods used and their verification in the MATLAB/Simulink environment. During exam the knowledge of mathematical metods of signal and image analysis and processing is verified together with their algorithmic implementation (

Syllabus -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)

1. Algorithmic tools of digital signal processing, fundamentals of MATLAB environment

2. Numerical, symbolic and visualization tools of MATLAB, data files processing

3. Time-domain signal representation, difference equations, selected statistical methods

4. Frequency-domain signal analysis, sampling, discrete Fourier transform, decomposition

5. Spectrum estimation, aliasing, short-time Fourier transform, window functions

6. Z-transform and system description, discrete transfer function, frequency transfer function

7. Digital filters, basic methods in the time domain, convolution, FIR filters, filter banks

8. IIR filters, basic properties, signal decimation

9. Filtering methods in frequency domain, signal reconstruction, window functions

10. Linear methods of time series modelling and prediction, SVD a QR algorthm, model selection

11. Nonlinear methods of signal processing, median filters, principles of neural networks

12. Basic methods of image analysis, 2D Fourier transform, image processing

13. Signal processing in engineering, signal prediction, Simulink environment, basic blocks

14. Biomedical signal and image processing

Entry requirements -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)

Fundamentals of MATLAB programming

Registration requirements -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)

Mathematical Methods in Engineering

Course completion requirements -
Last update: Procházka Aleš prof. Ing. CSc. (26.04.2018)

Submission of three individual projects specified during the term and oral discussion to selected research areas.

Teaching methods
Activity Credits Hours
Konzultace s vyučujícími 0,5 14
Účast na přednáškách 1 28
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 0,5 14
Práce na individuálním projektu 1 28
Příprava na zkoušku a její absolvování 1 28
Účast na seminářích 1 28
5 / 5 140 / 140