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Lecturer(s)
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Pidanič Jan, doc. Ing. Ph.D.
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Juryca Karel, Ing. Ph.D.
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Course content
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1. Mathematical apparatus for processing continuous signals 2. Representation and classification of signals, signal characteristics 3. Operations with continuous signals and basic types of continuous signals (harmonic signals, Dirac impulse, unit step, pulse signal, triangular signal) 4. Tools for analyzing continuous periodic signals in the frequency domain (FS) 5. Tools for analyzing continuous non-periodic signals in the frequency domain (FT) 6. Continuous systems in the time domain 7. Description and solution of continuous systems using differential equations 8. Laplace transform I. (relations, convergence region, properties) 9. Laplace transform II. (Laplace transform of significant signals, inverse Laplace transform) 10. Determination of frequency characteristics of continuous systems 11. Continuous LTI systems (ideal filters and their characteristics, lossless lines) 12. Design of analog filters I. (Butterworth filters) 13. Design of analog filters II. (Chebyshev filters)
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Contact teaching
- 52 hours per semester
- Participation in classes
- 52 hours per semester
- Home preparation for classes
- 11 hours per semester
- Preparation for an exam
- 35 hours per semester
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Learning outcomes
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The aim of the course is to acquaint students with the representation, processing and analysis of continuous signals and systems (filters) used in the communication system and control technology. The course includes representation, modelling of continuous signals and systems, tools for the analysis of continuous periodic and non-periodic signals in the time and frequency domain. Part of the course is the design of continuous systems with the required characteristics, both by solving differential equations and by Laplace transform. The final part of the course is devoted to the description and design of continuous (analogue) filters and state description of continuous systems.
The students acquire theoretically and practise knowledge from the area of continuous signals processing and analysis in time and frequency domain. The student is also familiar with the design of continuous systems according to specific requirements, determining the output of the system (filter design).
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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.
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ČMEJLA, Roman a Pavel SOVKA. Úvod do číslicového zpracování signálů: cvičení. Praha: Vydavatelství ČVUT, 2005. ISBN 80-01-03158-6.
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CHAPARRO, Luis. Signals and systems using matlab. Waltham: MA, 2019. ISBN 9780128142042.
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Uhlíř, Jan. Číslicové zpracování signálů. Praha: Vydavatelství ČVUT, 2002. ISBN 80-01-02613-2.
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Uhlíř, Jan. Úvod do číslicového zpracování signálů. Praha: Vydavatelství ČVUT, 2003. ISBN 80-01-02799-6.
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