352-0507/06 – Signal Processing (ZprS)

Gurantor departmentDepartment of Control Systems and InstrumentationCredits5
Subject guarantorprof. Ing. Jiří Tůma, CSc.Subject version guarantordoc. Ing. Renata Wagnerová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Study languageEnglish
Year of introduction2021/2022Year 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.
WAG52 doc. Ing. Renata Wagnerová, Ph.D.
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

The result of the study is verified by submitting projects, passing the test and the oral exam.



Other requirements

Students have to prepare projetcs.


Subject has no prerequisities.


Subject has no co-requisities.

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.

Conditions for subject completion

Full-time form (validity from: 2021/2022 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  1
        Examination Examination 65  16 3
Mandatory attendence participation: Compulsory participation in seminars, at least 80%

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (N0714A270012) Control of Machines and Processes P English Ostrava 1 Compulsory study plan
2022/2023 (N0714A270012) Control of Machines and Processes P English Ostrava 1 Compulsory study plan
2021/2022 (N0714A270012) Control of Machines and Processes P English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

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