Subject description - A6M31ANS
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| A6M31ANS |
Signal analysis |
| Roles: | |
Extent of teaching: | 3P+2C |
| Department: | 13131 |
Language of teaching: | CS |
| Guarantors: | |
Completion: | Z,ZK |
| Lecturers: | |
Credits: | 6 |
| Tutors: | |
Semester: | Z |
Web page:
https://moodle.fel.cvut.cz/courses/A6M31ANS
Anotation:
Selected methods of biological signal processing and analysis
Study targets:
Ability to use of methods for signal analysis
Course outlines:
| 1. | | Description of LTI systems in time and frequency domain. Linear convolution, stability, causality. |
| 2. | | FIR filter design and analysis. Linear phase. |
| 3. | | IIR filter design. Quantization and its consequences. |
| 4. | | Introduction to spectral analysis. Types of Fourier transform and their properties. |
| 5. | | Computation of cyclic convolution for long signals. OLA and OLS methods. Filtering in time domain. |
| 6. | | Short time Fourier transform: time-frequency signal decomposition, spectrogram and uncertainty principle. |
| 7. | | Oversampling, decimation and interpolation. Filter banks, wavelet transform. |
| 8. | | Expected value, power, autocorrelation and their use for the biological signal processing. |
| 9. | | Cross-correlation, cross spectral power density, coherence analysis. |
| 10. | | Examples of detection and localization of rapid changes in biological signal. |
| 11. | | Cumulative sum, match filtering, median filtering. |
| 12. | | Linear prediction, parametric methods, basics of adaptive filtering, adaptive noise cancelation. |
| 13. | | Relationship between discrete and time continuous systems. Discretization of time continuous systems, the choice of sampling period. |
| 14. | | Reserved |
Exercises outline:
| 1. | | LTI systems in time and frequency domain. Covolution, stability |
| 2. | | FIR filter design |
| 3. | | IIR filter design, quantization |
| 4. | | Spectral analysis and DFT. |
| 5. | | Cyclic convolution, zpracování Filtration in frequency domain |
| 6. | | Short-time FT and wavelet transform |
| 7. | | Resampling and filter banks. |
| 8. | | Autocorrelation, mean and power of signals |
| 9. | | Power spectral density, cross correlation and coherence |
| 10. | | Median and matched filtering |
| 11. | | Sudden changes detection |
| 12. | | Liner prediction, adaptive filtering |
| 13. | | Discretization of analog filters |
| 14. | | Reserve |
Literature:
| 1. | | Tompinks, W. J.Biomedical Digital Signal Processing. Prentice-Hall, Inc., New Jersey, 1993. |
| 2. | | Openheim, A.V., Shafer, R.W.: Discrete-Time Signal Processing. Prentice-Hall, Inc., New Jersey, 1998 |
Requirements:
Project, test and oral examination
Keywords:
analýza a zpracování biologických signálů, diskretizace spojitých systémů, kvantování, číslicová filtrace, korelační a spektrální analýza, vlnková transformace a banky filtrů, převzorkování, lineární predikce, Wienerova filtrace
Subject is included into these academic programs:
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Recommended semester |
| Page updated 30.4.2025 17:53:34, semester: Z/2026-7, L/2025-6, L/2026-7, Z/2025-6, Z,L/2024-5, Send comments about the content to the Administrators of the Academic Programs |
Proposal and Realization: I. Halaška (K336), J. Novák (K336) |