352-0507/04 – Signal Processing (ZprS)

Gurantor departmentDepartment of Control Systems and InstrumentationCredits5
Subject guarantorprof. Ing. Jiří Tůma, CSc.Subject version guarantorprof. Ing. Jiří Tůma, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFS, USPIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
SUR111 Ing. Pavel Šuránek, Ph.D.
TUM52 prof. Ing. Jiří Tůma, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Part-time Credit and Examination 12+4

Subject aims expressed by acquired skills and competences

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.

Teaching methods

Individual consultations
Experimental work in labs
Project work


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.

Compulsory 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)

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Výsledek studia je ověřen odevzdáním projektů, absolvováním testu a ústní zkouškou.


Other requirements

Students have to prepare project.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

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

Conditions for subject completion

Full-time form (validity from: 2015/2016 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  20
        Examination Examination 65  16
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (N0714A270004) Mechatronics EMM P English Ostrava 1 Compulsory study plan
2020/2021 (N0714A270004) Mechatronics EMM P English Ostrava 1 Compulsory study plan
2019/2020 (N3943) Mechatronics (3906T006) Mechatronic Systems P English Ostrava 1 Compulsory study plan
2019/2020 (N0714A270004) Mechatronics EMM P English Ostrava 1 Compulsory study plan
2018/2019 (N3943) Mechatronics (3906T006) Mechatronic Systems P English Ostrava 1 Compulsory study plan
2017/2018 (N3943) Mechatronics (3906T006) Mechatronic Systems P English Ostrava 1 Compulsory study plan
2016/2017 (N3943) Mechatronics (3906T006) Mechatronic Systems P English Ostrava 1 Compulsory study plan
2015/2016 (N3943) Mechatronics (3906T006) Mechatronic Systems P English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
USP 2017/2018 Full-time English Optional USP - University Study Programmes stu. block