Course detail
Signals and Systems
FIT-ISSkAcad. year: 2023/2024
Continuous and discrete time signals and systems. Spectral analysis in continuous time - Fourier series and Fourier transform. Systems with continuous time. Sampling and reconstruction. Discrete-time signals and their frequency analysis: Discrete Fourier series and Discrete-time Fourier transform. Discrete systems. Two-dimensional signals and systems. Random signals.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Entry knowledge
Rules for evaluation and completion of the course
- 6 tests in numerical exercises, each 2 pts, total 12 pts.
- half-semester exam, written materials, computers and calculators prohibited, 19 pts.
- submission of project report - 18 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.
Aims
Students will learn and understand the basis of the description and analysis of discrete and continuous-time signals and systems. They will also obtain practical skills in analysis and filtering in MATLAB/Octave. Students will deepen their knowledge in mathematics and statistics and apply it to real problems of signal processing.
Study aids
Prerequisites and corequisites
- recommended prerequisite
Mathematical Analysis 1 - recommended prerequisite
Discrete Mathematics - recommended prerequisite
Mathematical Analysis 2
Basic literature
Recommended reading
Elearning
Classification of course in study plans
- Programme N-AIŘ-K Master's 2 year of study, winter semester, compulsory
Type of course unit
Guided consultation
Teacher / Lecturer
Syllabus
- 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
Fundamentals seminar
Teacher / Lecturer
Syllabus
- 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
Project
Teacher / Lecturer
Syllabus
The project aims at the practical experience with signals and systems in Matlab/Octave. Its study etap contains solved exercises on the following topics:
- Introduction to MATLAB
- Projection onto basis, Fourier series
- Processing of sounds
- Image processing
- Random signals
- Sampling, quantization and aliasing
Elearning