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Lecturer(s)
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Pidanič Jan, doc. Ing. Ph.D.
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Course content
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1. Classification and characteristics of continuous/discrete signals 2. Analysis of periodic continuous signals (signal decomposition using Fourier series) 3. Analysis of non-periodic continuous-time signals (Fourier transform) 4. Analysis of periodic discrete signals (Fourier series of discrete signal) 5. Analysis of non-periodic signals in discrete time (Fourier transform of discrete signal DTFT) 6. Discrete Fourier Transform 7. Bandpass signals, Hilbert transform 8. Continuous systems (systems) 9. Discrete systems (systems) 10. Practical use of DFT I. - Parameters, conditions of use of DFT 11. Practical use of DFT II. - Methods of determining the signal spectrum based on DFT 12. Random processes and signals and characteristics of random processes
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Contact teaching
- 30 hours per semester
- Participation in classes
- 52 hours per semester
- Preparation for an exam
- 40 hours per semester
- Preparation for a credit (assessment)
- 28 hours per semester
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Learning outcomes
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The aim of the course is to acquaint students with the characteristics of signals and systems in continuous and discrete time. Part of the course will be acquainted with suitable tools for characterization of signals in the time and frequency domain (Fourier series, Fourier transform, DTFS, DTFT, DFT). Furthermore, students will gain knowledge about the relationship between the spectra of different types of commonly used signals. Another part of the course is devoted to band signals and related Hilbert forward and reverse transformations and their sampling.
After completing the course, the student masters the issues of processing and analysis of continuous/discrete signals, both in the time and frequency domain. These are mainly tools: - continuous/discrete signal decomposition using Fourier series - computation of the spectrum of a continuous signal using the Fourier transform - computation of the spectrum of a discrete signal using DTFT and DFT - Hilbert transform for analysis of bandpass signals
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Prerequisites
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Mathematical calculus at the technical university graduates level
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Assessment methods and criteria
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Oral examination, Written examination
During the semester and in the final exam, the student must demonstrate an understanding of the solved problems. The specific requirements will be communicated to the students by the teacher in the first week of the semester.
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Recommended literature
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OpenCourseWare. License: Creative Commons BY-NC-SA. RES.6-007 Signals and Systems (Alan Oppenheim).
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Jiří J. Číslicová filtrace, analýza a restaurace signálů. Akademické nakladatelství VUTIUM, 2012.
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Mitra, S. K. Digital Signal Processing ? A Computer-Based Approach. The McGraw: Hill Companies. Inc. New York, 1998.
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Pidanič, J. Elektronická opora k předmětu: Signály a soustavy. 2024.
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Uhlíř, J. Číslicové zpracování signálů. Vydavatelství ČVUT, 2002. ISBN 80-01-02613-2.
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