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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, characteristics of signals 3. Operations with continuous signals and basic types of continuous signals (harmonic signals, Dirac pulse, unit jump, pulse signal, triangular signal) 4. Continuous systems in the time domain 5. Description and solution of continuous systems using differential equations 6. Tools for the analysis of continuous periodic signals in the frequency domain (FS) 7. Tools for the analysis of continuous non-periodic signals in the frequency domain (FT) 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. Analysis of analog filters (ideal filters) 12. Design of analog filters (Butterworth/Chebyshev filters)
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Preparation for an exam
- 35 hours per semester
- Contact teaching
- 52 hours per semester
- Participation in classes
- 52 hours per semester
- Home preparation for classes
- 11 hours per semester
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Learning outcomes
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The aim of the course is to introduce students to the representation, processing and analysis of continuous signals and systems (filters) used in communication and control technology. The course includes the representation, modelling of continuous signals and systems, tools for the analysis of continuous periodic and non-periodic signals in the time and frequency domain. The course includes the design of continuous systems with desired characteristics, both by solving differential equations and by using the Laplace transform. The final part of the course is devoted to the description and design of continuous (analogue) filters and the state description of continuous systems.
After completing the course, the student masters the issues in the field of processing and analysis of continuous signals, both in the time and frequency domain. The student is also oriented in the design of continuous systems according to specific requirements, i.e. determination of the output of the system (design of filters).
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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 teacher will communicate the specific requirements to the students in the first week of the semester. 1) Active participation in the exercises and non-knowledge of the issues discussed (basic relationships and laws will lead to an unexcused class. Excerpts or lectures are allowed during the exercises. 2) Attendance of at least 80% (excused and unexcused absences count) 3) Late arrival to class by a maximum of 10 minutes, then unexcused practice. 4) Completion of all homework assignments (approximately 10 homework assignments) Prerequisites: Oral exam, student will be given 3 questions from the topics covered. The student can get a maximum of 1 point from each question, i.e. 3 points maximum. A minimum of 0.5 points is required for each question. Evaluation: Maximum points / Minimum points for credit Homework 30 / 20 Exam 3 / 1.5 Assessment table according to points: A 3-2,7 B 2,69 - 2,4 C 2,39 - 2,1 D 2,09 - 1,8 E 1,79 - 1,5 F <1,5
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Recommended literature
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OpenCourse Ware. License: Creative Commons BY-NC-SA.
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Pidanič, Jan. Elektronická opora k předmětu: Spojité signály. 2024.
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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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