516-0869/01 – Signal Processing Methods (MZS)

Gurantor departmentInstitute of PhysicsCredits7
Subject guarantorprof. Ing. Libor Hlaváč, Ph.D.Subject version guarantordoc. Ing. Jan Valíček, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2003/2004Year of cancellation2010/2011
Intended for the facultiesHGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
MAD20 prof. RNDr. Vilém Mádr, CSc.
VAL30 doc. Ing. Jan Valíček, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 6+12

Subject aims expressed by acquired skills and competences

To acquaint oneself with signal analysis, signal transmission and with sensor and transmission techniques of signal acquiring. To apply the theoretical basis, including selected application possibilities of interpretation.

Teaching methods



The subject is drawn up as both theoretical and practical subject of basic technical Bachelor study. It is an introduction to the theory of analyses and transfer of signals, above all by linear transfer systems. It is connected with respective parts of mathematics - theory of probability and statistics. It includes techniques of signal obtaining and a theoretical base for applications in practice.

Compulsory literature:

1. Randall, R. B.: Frequency Analysis, Brüel & Kjaer, 1987

Recommended literature:

Randall, R. B.: Frequency Analysis, Brüel & Kjaer, 1987

Way of continuous check of knowledge in the course of semester


Other requirements


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Measuring systems . Digital measuring apparatus . Analog signal and its entry into the digital processing (basic principle of AD converters). Praktical digitalization of a signal. Sampling rate vs. frequency spectrim width. Preamplifying of a signal. Analog, digital filtration anf their properties Aliasing. The Nyquist criterion. Synchronous signal detection (lock-in amplifier). Connection of different types of sensors to digital signal processing For example: signal processing from piezoelectric accelerometers, optical sensors,(vibrometer, triangulation sensors and its connection to PC). Reading of specific signals : acoustic signals, optical, vibration, use of relative units – noise and vibration (B, dB). Basic principles of mathematical signal processing. Fourier signal analysis (Fourier series, Fourier integral, Fourier transform). Fast Fourier transform. Transformation in measuring and control systems. Haar transform. Window transformation. Wavelet transform Correlation analysis. Autocorrelation. Cross -correlation. Processinf of measured sata by means of filtration. Background. Filter. Frequency analysis of the filtration process. Regeneration of actual spectrum. Basic s of experimental modal analysis. Modal analysis. Measurement of modal model (geometric model creation, control measurements, results processing, animation mode). Modification of a structure. Identification. Interpretative methods and their selection in relation to applications in different fields of science and technology. Curriculum of exercises : use of MATLAB software resp. MATHEMATICA, ORIGIN. 1. Initial exercise to become familiar with a program used for signal processing. 2. Introduction to basic types of sensors according to their physical principle. Signal sampling, principles of sampling. Practical considerations for digitizing a signal. Sampling rate vs. frequency spectrum width. Preamplifying of signals. Analog, digital filtration and their properties. Aliasing. The Nyquist criterion. 3. Introduction to basic methods of signal processing. 4. Processing of harmonic and periodic signal. Fourier series of periodic signals. 5. Aperiodic signals, spectral function and the Fourier transform 6. Processing of harmonic and discrete periodic signals. Fourier series 7. Aperiodic discrete signals. Spectral function. 8. Correlation function of periodic signals. 9. Correlation function of aperiodic signals.. Basic aperiodic signals – unit jump and unit impulse. 10. Correlation function of aperiodic discrete signals. 11. Processing of measured data by means of filtering. 12. Measurement of signals by means of selected physical quantities sensor. 13. Signals processing by means of spectral analysis, filtering and correlation analysis.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2010/2011 (B2102) Mineral Raw Materials (3911R001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (3911R001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (3911R001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (3911R001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (3911R001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner