Advanced Analysis of Biological Signals
FEKT-MPA-ACSAcad. year: 2022/2023
The course is oriented to multirate signal processing, time-frequency analysis focused particularly on the different types of wavelet transform, parametric methods for power spectrum estimation, principal component analysis (PCA) and data compression.
Offered to foreign students
Learning outcomes of the course unit
- 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 lossless data compression (Huffman encoder, arithmetic coder)
- explain the principles and possibilities of the use of PCA
Recommended optional programme components
Akay, M.: Detection and Estimation Methods for Biomedical Signals. Academic Press, 1996 (EN)
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
- 70 points can be obtained for the written exam (the written examination is necessary to obtain at least 35 points)
Language of instruction
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. Losless compresion of biosignals (Huffman and arithmetic coding).
7. Use of DTWT in compression of biosignals.
8. Redundant DTWT for filtering and analysis of biosignals.
9. Spectral analysis of biosignals and parametric methods for power spectrum estimation.
10. Linear prediction and Burg method for power spectrum estimation.
11. Principal component analysis (PCA) for filtering and compression of data .
12. Independent component analysis (ICA) for signal separation.
13. Linear deconvolution.
14. Median filtration, pyramidal median transformation.
15. Homomorphic filtration and cepstral analysis.
Specification of controlled education, way of implementation and compensation for absences