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ECTS Course Overview



Signal Processing

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code352-0507/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Choice-compulsory
Level of Course Unit *Second Cycle
Year of Study *
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
TUM52prof. Ing. Jiří Tůma, CSc.
Summary
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
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
1. Nature of signals. Sampling, sampling frequency. Analog and digital filters, digital filters derived from analog filters, bilinear transform.
2. First-order filter and notch filter. FIR and IIR filters. Comparison of the filter properties, the proposal for design in Matlab.
3. Fourier transform (FT). Dictionary, transform of integration and differentiation operations. Autospektrum graduated RMS, PWR, and PSD.
4. FT of constant and harmonic signals. Effect of the time window on the frequency spectrum
5. Methods for calculating the fast Fourier transform (FFT). DIT and DIF method, butterfly diagrams. Speeding up the calculation.
6. Calculation spectra by overlapping blocks for the averaging spectra.
7. Hilbert transform. Analytical signal. Envelope and phase analytical signal. Amplitude and phase modulation and demodulation.
8. Resampling the signal. Order analysis.
9. Synchronous filtering signals. Frequency response of synchronous filtering.
10. Measurement of frequency response using the Fourier transform. Test signal like impulse and white noise.
11. Coherence and factors affecting the accuracy of frequency responses (resonance, antiresonance, linearity and unmeasured inputs)
12. Wavelet transform. Continuous and discrete. The use of wavelets for noise removal, signal compression and indication of breakpoint
13. Vold-Kalman order filtration. Data and structural equations. Global solutions. The use of the VK filter for research quality sound systems
Recommended or Required Reading
Required Reading:
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:
Tůma, J. Signal Analyser, software supporting lectures on signal processing. Ostrava: VŠB-TU Ostrava, 20002-2004. (free download).
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
Lectures, Individual consultations, Tutorials, Experimental work in labs, Project work
Assesment methods and criteria
Tasks are not Defined