Course detail
Signals and Systems
FEKT-HSISAcad. year: 2019/2020
This module provides an introduction to the linear time-invariant continuous- and discrete-time signal and systems. Students are introduced with the various methods of description and analysis of the continuous- and discrete-time signals and systems: time domain, frequency domain, spectrum, Fourier series, sampling, transforms (Laplace, Fourier, Z) and differential equations. These methods are used to analyse signal and system properties and to determine basic characteristic: linearity, time-invariance, causality, stability, power, etc.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Learning outcomes of the course unit
Describe continuous and discrete time signal in time and frequency domain.
Perform continuous and discrete time signal transform using the Fourier series, the Fourier transform, the Laplace transform and the Z-transform.
Discuss practical interpretations of these transforms and their properties.
Describe fundamental properties of LTI continuous-time systems.
Describe fundamental properties of LTI discrete-time systems.
Use the different methods to describe LTI systems.
Determine system response of an LTI system to standard and general signals.
Determine from the description of the LTI system its characteristics such as linearity, time-invariance, causality and stability.
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
30 points for individual projects,
70 points for final exam.
Only students with submitted individual projects with point gain greater than or equal 10 points are allowed to proceed to the final exam.
Course curriculum
2. Continuous-time and discrete-time signals - basic operations and manipulations, discretization of continuous-time signals.
3. Frequency domain of the continuous-time signal, the Fourier series.
4. The Fourier transform, examples.
5. Time and frequency domain of the discrete-time signal, the discrete Fourier series, the discrete Fourier transform (DFT).
6. Systems – definition, classification, the examples of real systems.
7. Continuous-time LTI system – description using the differential equations, the Laplace transform.
8. Continuous-time LTI system – transfer function, poles and zeros, stability of LTI systems.
9. Continuous-time LTI system – response on the standard input signals, the relation to the BIBO stability.
10. Discrete-time LTI system - description using the difference equations, the Z-transform.
11. Discrete-time LTI system – transfer function, poles and zeros, stability of LTI systems.
12. Discrete-time LTI system – – response on the standard input signals, the relation to the BIBO stability.
13. Summary.
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
Elearning
Classification of course in study plans
Type of course unit
Elearning