Signals and Systems
ISS Acad. year 2019/2020 Winter semester 6 credits
Language of instruction
Subject specific learning outcomes and competences
Generic learning outcomes and competences
Why is the course taught
- Mathematical Analysis (IMA)
Prerequisite kwnowledge and skills
- Jan, J., Kozumplík, J.: Systémy, procesy a signály. Skriptum VUT v Brně, VUTIUM, 2000. (in Czech)
- Šebesta V.: Systémy, procesy a signály I., Skriptum VUT v Brně, VUTIUM, 1997. (in Czech)
- Jan J., Číslicová filtrace, analýza a restaurace signálů, VUT v Brně, VUTIUM, 2002, ISBN 80-214-1558-4. (in Czech)
- Oppenheim A.V., Wilski A.S.: Signals and systems, Prentice Hall, 1997
Syllabus of lectures
- Digital filters - fundamentals and practical usage
- Frequency analysis using DFT - fundamentals and practical usage
- Image processing (2D signals) - fundamentals and practical usage
- Random signals - fundamentals and practical usage
- Applications of signal processing and introduction to the theory
- Frequency analysis of continuous time signals
- Continuous time systems
- From continuous to discrete - sampling, quantization
- The discrete signal in more detail
- Spectral analysis of discrete signals in more detail.
- Digital filtering in more detail
- Random signals in more detail
- Applications and advanced topics of signal processing
Syllabus of numerical exercises
- Complex numbers, cosines and complex exponentials and operations therewith
- Basics, filtering, frequency analysis
- Continuous time signals: energy, power, Fourier series, Fourier transform
- Continuous time systems and sampling
- Operations with discrete signals, convolutions, DTFT, DFT
- Digital filtering and random signals
Syllabus - others, projects and individual work of students
- Introduction to MATLAB
- Projection onto basis, Fourier series
- Processing of sounds
- Image processing
- Random signals
- Sampling, quantization and aliasing
- 6 tests in numerical exercises, each 2 pts, total 12 pts.
- half-semester exam, written materials, computers and calculators prohibited, 25 pts.
- submission of project report - 12 pts.
- final exam - 51 pts., written materials, computers and calculators prohibited, list of basic equations will be at your disposal. The minimal number of points which can be obtained from the final exam is 17. Otherwise, no points will be assigned to the student.
- participation in numerical exercises is not checked, but tests are conducted in them, each worth 2 points.
- Groups in numerical exercises are organized according to inscription into schedule frames.
- Replacing missed exercises (and obtaining the points) is possible by (1) attending the exercise and the test with another group, (2) solving all tasks in given assignment and presenting them to the tutor, (3) examination by the tutor or course responsible after an appointment. Options (2) and (3) are valid max. 14 days after the missed exercises, not retroactively at the end of the course.
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Course inclusion in study plans