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Signal Processing

Type of study Follow-up Master
Language of instruction Czech
Code 352-0507/05
Abbreviation ZprS
Course title Signal Processing
Credits 5
Coordinating department Department of Control Systems and Instrumentation
Course coordinator doc. Ing. Renata Wagnerová, Ph.D.

Subject syllabus

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.

Literature

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)

Advised literature

Tůma, J. Signal Analyser, software supporting lectures on signal processing. Ostrava: VŠB-TU Ostrava, 20002-2004. (free download).