Course detail
Analysis and Interpretation of Biological Data
FEKT-MABDAcad. year: 2020/2021
The course is oriented to multirate signal processing, time-frequency analysis focused particularly on the different types of the wavelet transform, Stockwell transform, empirical mode decomposition (EMD) and Hilbert-Huang transform. The following are applications of time-frequency transforms. Signal envelope and instantaneous signal frequency estimates are provided. Below are the parametric methods for the power spectrum estimation and nonlinear methods of filtering. The conclusion is focused on the use of mobile phones for sensing and processing of the biosignals.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
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 (CWT, DTWT)
- explain the principles of the parametric methods for power spectrum estimation
- explain the principle of the Stockwell transform and its relation to STFT and DTWT
- explain the principle of the EMD and Hilbert-Huang transform
- explain the importance and possibilities of using complex signals
- explain the principles of linear and nonlinear deconvolution
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
- 70 points can be obtained for the exam (the examination is necessary to obtain at least 35 points)
Course curriculum
2. Design of multirate filters
3. Time-frequency analysis, wavelet transforms (CTWT, DTWT)
4. Use of DTWT in compression and for filtering and analysis of biosignals
5. Adaptive filters
6. Spectral analysis of biosignals and parametric methods for power spectrum estimation
7. Stockwell transform (S-transform), theory and use
8. Empirical mode decomposition (EMD), principle and use
9. Complex signals, Hilbert transform, Hilbert-Huang transform
10. Signal envelope and instantaneous signal frequency, their estimates
11. Multiplicative modulation, SSB modulation
12. Linear deconvolution
13. Nonlinear filtering: median filtering and homomorphic filtering
14. Mobile phone applications
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Design of multirate filters
3. Time-frequency analysis, wavelet transforms (CTWT, DTWT)
4. Use of DTWT in compression and for filtering and analysis of biosignals
5. Adaptive filters
6. Spectral analysis of biosignals and parametric methods for power spectrum estimation
7. Stockwell transform (S-transform), theory and use
8. Empirical mode decomposition (EMD), principle and use
9. Complex signals, Hilbert transform, Hilbert-Huang transform
10. Signal envelope and instantaneous signal frequency, their estimates
11. Multiplicative modulation, SSB modulation
12. Linear deconvolution
13. Nonlinear filtering: median filtering and homomorphic filtering
14. Mobile phone applications
Exercise in computer lab
Teacher / Lecturer
Syllabus
Implementation of filter with sampling frequency conversion
Wavelet transforms (Wavelet Toolbox)
DTWT decomposition and reconstruction
Signal compression using DTWT
Signal filtering using stationary DTWT
Implementation of adaptive filters
Determination of heart rate from data captured by smartphone
Consultations to solve individual projects