| Course Unit Code | 352-0507/05 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| WAG52 | doc. Ing. Renata Wagnerová, Ph.D. |
| SOF009 | Ing. Pavel Šofer, Ph.D. |
| Summary |
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| Filtering (analogue and digital filters – FIR and IIR filter design), sampling (Shannon theorem), signal taxonomy (deterministic and stochastic signals), analysis of signals in the time and frequency domain, Fourier transform (FFT, DIT, DIF, butterfly algorithms), frequency spectra (time window, overlay, averaging in the time domain), frequency response (noise and impulse responses), synchronous averaging in the time domain, analytical signal (Hilbert transform), envelope analysis, phase demodulation, tracking filters, signal resampling. |
| Learning Outcomes of the Course Unit |
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| The aim of the lectures on signal processing is to give students basic knowledge of the theory of digital filters, Fourier and wavelet transform, FFT techniques, spectral and correlation analysis, evaluation autospekter, cross-spectrum and frequency characteristics. The lecture describes the evaluation methods of frequency spectra of deterministic and stochastic signals, the method of selecting the time window, overlapping blocks of averaging and spectral averaging alone. Theoretical lectures are combined with demonstrations of examples of the measured signals and evaluating the possibilities of using theory in practice. Understanding the methods used in signal processing to analysis and measurement applications, design of computer applications for data processing (filtering and frequency analysis). The aim is to reach independent decisions and evaluate the measured data and the method of their processing. |
| Course Contents |
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1. RMS of signals. Signal distribution. Time and frequency domains.
2. Sampling, sampling frequency. Analog and digital filters, digital filter derivation from analog filter, bilinear transformation.
3. First order filter and notch filter. FIR and IIR filters. Comparison of properties, design by means of Matlab.
4. Fourier transform (FT). Vocabulary, integration and derivative in the frequency domain. Autospectrum with RMS, PWR and PSD scale.
5. FT of constant and harmonic signal. Influence of time windows on spectrum composition
6. Methods of calculation of Fast Fourier transform (FFT). DIT and DIF method, butterfly diagrams.
7. Spectra averaging, overlapping time records.
8. Hilbert transform. Analytical signal. Envelope and phase of the analytical signal. Amlitude and phase modulation - demodulation.
9. Resampling signals. Order analysis.
10. Synchronous signal filration. Frequency response of the moving average filter.
11. Measurement of frequency characteristics using Fourier transform. Test signals pulse and white noise.
12. Coherence and factors affecting the accuracy of measurement of frequency characteristics (resonance, anti-resonance, non-linearity and unmeasured inputs)
13. Vold-Kalman order filtration. Data and structural equations. Global solutions. Use for sound quality research systems. |
| Recommended or Required Reading |
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| Required Reading: |
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Tůma, J.Signal processing. Skripta VŠB TU, FS, 2009, ISBN 978-80-248-2114-6. (http://fs1.vsb.cz/~tum52/Skripta/)
OPPENHEIM, A.V. - SCHAFER, R.W. Digital signal processing. Prentice-Hall,
International, Inc. Englewood Cliffs, New Jersey. 1975.
Randall, R.B. Frequency Analysis. Bruel&Kjaer, 1987.
MITRA, SANJIT K. Digital signal processing, McGraw-Hill, Boston, 2001, ISBN
0-07-232105-9.
TŮMA, J. Zpracovaní signálů získaných z mechanických systém. Praha: Sdělovací technika Praha, 1997.
Signal Processing (http://homel.vsb.cz/~tum52/download-publications.php?file=Signalprocessing13.pdf) |
Tůma, J.Signal processing. Skripta VŠB TU, FS, 2009, ISBN 978-80-248-2114-6. (http://fs1.vsb.cz/~tum52/Skripta/)
OPPENHEIM, A.V. - SCHAFER, R.W. Digital signal processing. Prentice-Hall,
International, Inc. Englewood Cliffs, New Jersey. 1975.
Randall, R.B. Frequency Analysis. Bruel&Kjaer, 1987.
MITRA, SANJIT K. Digital signal processing, McGraw-Hill, Boston, 2001, ISBN
0-07-232105-9.
TŮMA, J. Zpracovaní signálů získaných z mechanických systém. Praha: Sdělovací technika Praha, 1997. |
| Recommended Reading: |
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Tůma, J. Signal Analyser, software supporting lectures on signal processing. Ostrava: VŠB-TU Ostrava, 20002-2004. (free download).
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| Tůma, J. Signal Analyser, software pro podporu výuky zpracování signálů. Ostrava: VŠB-TU Ostrava, 20002-2004. (poskytuje se zdarma). |
| Planned learning activities and teaching methods |
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| Lectures, Individual consultations, Tutorials, Experimental work in labs, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 35 | 21 |
| Examination | Examination | 65 | 16 |