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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 discrete signals 2. Representation, modelling, classification and description of discrete signals. Discrete signal operations 3. Basic types of discrete signals (harmonic signals, unit pulse, unit jump, pulse signal, triangular signal) 4. Discrete systems in the time domain, block representation, properties of systems, FIR and IIR systems 5. Description of discrete systems using differential equations and their solutions 6. Tools for analysis of discrete periodic signals in the frequency domain (DTFS) 7. Tools for analysis of discrete non-periodic signals in the frequency domain (DTFT) 8. Discrete Fourier transform, fast computational algorithms (FFT) 9. Z-transformation I. (relations, convergence region, properties) 10. Z-transformation II. (Z-transformation of significant signals, inverse Z-transformation) 11. Determination of frequency characteristics of discrete systems 12. Sampling of continuous signals I. (types of sampling), conditions and effects of sampling in the time and frequency domain 13. Sampling of continuous signals II. (quantization, effects of quantization, A / D converters, SQNR) The content of the lectures is in line with the content of the exercises.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Home preparation for classes
- 52 hours per semester
- Participation in classes
- 52 hours per semester
- Preparation for a credit (assessment)
- 20 hours per semester
- Preparation for an exam
- 40 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 discrete signals and systems (filters) used in communication and control technology. The course includes signal representation, modelling of discrete signals and systems, tools for the analysis of discrete periodic and non-periodic signals in the time and frequency domain. Next part is devoted to the design of the discrete systems with the required characteristics (by solving differential equations and by z-transform). The final part of the course is devoted to sampling and subsequent quantization of continuous signals and state-space analysis of discrete signals.
The student will gain knowledge in the field of digital signal processing and their analysis in the time and frequency domain. He will also be acquainted with the issues of A/D conversion of continuous signals and analysis of continuous systems in the time and frequency domain.
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Prerequisites
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Knowledge of differential and integral calculus, the sum of arithmetic / trigonometric series and Matlab software.
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Assessment methods and criteria
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Oral examination, Student performance assessment
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. Prerequisites for successful completion of the course: 1) In the event of emergency measures, classes will be taught remotely using MS Teams at scheduled times. Attendance at MS Teams group meetings is equivalent to attendance at lectures and tutorials. 2) Active participation in exercises and non-knovledge of the subject matter discussed (basic relationships and laws will result in an unexcused absence. Excepts or lectures are allowed during the exercises. 3) Minimum 80% attendance (excused and unexcused absences count) 4) Late arrival to class by a maximum of 10 minutes, then unexcused practice. 5) Completion of all homework assignments (approx. 10 homework assignments) Prerequisites for the exam: In the oral exam, the student will be given three 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/exam 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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Čmejla, Roman. 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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OpenCourseWare. License: Creative Commons BY-NC-SA.
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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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