Czech

5

Not applicable.

The student is able to:
- implement the sampling rate conversion
- explain the principles and advantages of multirate filtering
- implement of the various types of wavelet transforms
- explain the principles of filtering and data compression based on wavelet transform
- explain the principles of Stockwell transform,
- explain the principles of empirical mode decompsition and Hilbert-Huang transform

Students should have knowledge of digital signal processing, be familiar with the ways of describing the linear filters (transfer function, impulse response, difference equations, frequency response). We assume basic knowledge of students about the properties of biosignals (especially ECG, EEG, EMG). The laboratory work is expected knowledge of Matlab programming environment.

Not applicable.

Teaching methods include lectures and computer laboratories. Course is taking advantage of e-learning system. Students have to write a single project/assignment during the course.

- 40 points can be obtained for activity in the laboratory exercises, consisting in solving tasks
- 60 points can be obtained for the written exam

1. Sampling rate conversion
2. Design of multirate filters
3. Time-frequency analysis, continuous-time wavelet transform (CTWT)
4. Discrete-time wavelet transform (DTWT), dyadic and packet DTWT
5. Use of CTWT in analysis of biosignals
6. Use of DTWT in compression of biosignals
7. Shift-invariant DTWT and filtering of biosignals,
8. Stockwell transform (S-transform), theory and use
9. Empirical mode decomposition (EMD), principle and use
10. Complex signals, Hilbert transform, Hilbert-Huang transform
11. Signal envelope and instantaneous signal frequency, their estimates
12. Mobile phone applications

Not applicable.

Gaining knowledge about multirate signal processing, wavelet transforms for processing and analysis of biosignals, Gaining knowledge about Stockwell transform, empirical mode decompsition (EMD), Hilbert-Huang transform and estimation of instantaneous frequency of signal.

Laboratory is compulsory, missed labs must be properly excused and can be replaced after agreement with the teacher.

Not applicable.

Not applicable.

Kozumplík, J.: Multitaktní systémy. Elektronická skripta FEKT VUT v Brně, 2005 (CS)
Proakis,J.G., Manolakis,D.G.: Digital Signal Processing. Principles, Algorithms and Applications. Macmillan, 1992 (EN)

Not applicable.

26 hours, compulsory

Introduction, signal processing in Matlab
Implementations of sampling rate conversion
Implementations of multirate filters
Wavelet transform in Matlab, Wavelet Toolbox
DTWT and signal compression
Shift-invariant DTWT and signal filtering
CWT for signal analysis
Mobile phone applications
Solution of individual projects