Signals and Systems
FEKT-KSISAcad. year: 2015/2016
The course Signals and Systems deals with fundamentals of analog and digital signal processing and system analysis, a topic that forms an integral part of engineering systems in many diverse areas. The course presents the basic principles for both continuous-time and discrete-time signals and systems. Signal representations are developed for both time and frequency domains. Basic types of signals and their properties, useful signal operations, as well as classification and analysis of systems, are discussed and illustrated. In addition, students become familiar with visualization and processing of signals using computer with standard signal software and gain practical experiences by use of laboratory devices such as oscilloscope, signal generator, signal analyzer, etc. Students will use gained knowledge in subsequent courses oriented to specific applications of signal processing.
Learning outcomes of the course unit
The graduate is able
- to measure, display and describe signals,
- to define and generate required signal,
- to estimate spectrum and properties of signals,
- to convert analog signals and digital signals,
- to analyze systems,
- to discuss advantages and disadvantages of communication signals.
Knowledge of bachelor mathematics is requested (derivations, integrals, solution of equations, fundamentals of probability analysis, statistical distributions).
Recommended optional programme components
Recommended or required reading
MITRA, S. K. Digital signal processing. A computer-base approach. New York: The McGraw-Hill Companies, 2011. (EN)
KAMEN, E. W., HECK, B. S. Fundamentals of Signals and Systems. Englewood Cliffs: Prentice Hall, 2007. (EN)
JAN, J. Číslicová filtrace, analýza a restaurace signálů. Brno: VUT v Brně, 2002. (CS)
Planned learning activities and teaching methods
Techning methods include lectures, computer laboratories and practical laboratories. Course is taking advantage of e-learning (Moodle) system. Students have to solve seven single assignments during the course.
Assesment methods and criteria linked to learning outcomes
Students can obtain maximally 30 points for their activities during semester and 70 points for the final exam. The honored activities are as follows: one midterm test oriented to calculations of signal problems (10 points), two in-class computer exercises (10 points) and five tasks solved at home (10 points). The written final exam is based on the theory of signals and systems as well as calculations (70 points).
Language of instruction
1. Introduction to the theory of signals and systems, basic signal operations in time domain, harmonic signal, function sinc(x), signal power and energy.
2. Periodic and nonperiodic signals, typical examples, rectangular pulses.
3. Fourier transform, basic properties, spectral function of selected signals.
4. Correlation and convolution, properties, application examples, interrelationship.
5. Continuous-time systems, Laplace transform, transfer function.
6. Analysis of continuous-time systems, linear and nonlinear systems.
7. Conversions between analog signals and digital signals, sampling, signal recovery.
8. Discrete Fourier transform, applications of DFT, principle of the FFT-algorithm.
9. Discrete-time systems, elementary system blocks, characteristics.
10. Analysis of discrete-time systems, testing signals.
11. Signals in random processes, stacionarity and ergodicity.
12. Signals and systems for data transmission in communication, modulations and demodulations.
13. Examples of signal processing in the fields of multimedia, medicine, and security.
The course is aimed to present common types of signals and their basic properties to students, and to explain analysis of systems as well as principles of interactions between signals and systems.
Specification of controlled education, way of implementation and compensation for absences
Computer exercises are compulsory. Missed lessons can be made up usually by the end of semester.