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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. Mathematical apparatus for discrete signal processing. 2. Sampling of continuous signals (types of sampling), conditions and effects of sampling in time and frequency domain, signal quantisation. 3. Quantisation of the signal 4. Representation and classification of discrete signals. 5. Discrete signal operations and basic types of discrete signals. 6. Discrete systems in the time domain I. 7. Discrete systems in the time domain II. 8. Tools for the analysis of discrete periodic signals in the frequency domain (DTFS). 9. Tools for the analysis of discrete non-periodic signals in the frequency domain (DTFT). 10. Z-transformation I. 11. Z-transformation II. 12. Determination of frequency characteristics in discrete systems.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Methods of individual activities
- Term paper
- 46 hours per semester
- Participation in classes
- 52 hours per semester
- Preparation for an exam
- 52 hours per semester
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Learning outcomes
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The course introduces students to the representation, processing and analysis of discrete signals and systems (filters) used in communication and control technology. The course includes representation issues, modelling of discrete signals and systems, and tools for analysing discrete periodic and non-periodic signals in the time and frequency domain. The course includes designing discrete systems with desired characteristics by solving differential equations and z-transform. The final part of the course deals with sampling and subsequent quantisation of continuous signals and the state description of discrete signals.
The student will gain knowledge of digital signal processing and analysis in the time and frequency domain. Furthermore, the student will be introduced to A/D conversion of continuous signals and analysis of discrete systems in the time and frequency domain.
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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, Home assignment evaluation
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.RES.6-007 Signals and Systems (Alan Oppenheim).
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Pidanič, Jan. Elektronická opora k předmětu: Discrete Signals. 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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