# Subject description - A6M31ANS

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 A6M31ANS Signal analysis Extent of teaching: 3+2c Guarantors: Sovka P. Roles: P Language ofteaching: CS Teachers: Sovka P. Completion: Z,ZK Responsible Department: 13131 Credits: 6 Semester: Z

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

Webpage:

https://moodle.fel.cvut.cz/courses/A6M31ANS

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:

 Program Branch Role Recommended semester MPBIO1 Biomedical Informatics P 1 MPBIO2 Biomedical Engineering P 1

 Page updated 22.5.2019 15:01:10, semester: Z,L/2020-1, L/2019-20, Z,L/2018-9, Z/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)