FEKT-BPC-SI2Acad. year: 2019/2020
The subject is focused on the analysis and digital processing of signals from the field of telecommunication. It provides a theoretical basis of signal modulation, discrete linear transformations, description of random process and its characteristics. It also deals with the problems of filtration (FIR, IIR, adaptive, inverse), correlation and spectral analysis of signals, detection of signals in noise. Theory is complemented by introductory information on complex and multidimensional signals. The subject provides both theoretical background and practical verification. To this end, the Matlab programming environment will be used.
Learning outcomes of the course unit
Students should have knowledge of the basic theory of digital processing and analysis of signals in the telecommunication field after completing the course. They should also be able to independently solve practical tasks, i.e. choose and justify a suitable method and implement it.
Objects are required BPC-SI1, BPC-PP1, BPC-MA1, BPC-MA2
Knowledge of elements of signal and system theory, mathematics on Bc level, Matlab.
Recommended optional programme components
Recommended or required reading
JAN, J. Číslicová filtrace, analýza a restaurace signálů. 2. upravené a rozšířené vydání. Brno: VUTIUM, 2002. ISBN 80-214-2911-9. (CS)
ŠEBESTA, V., SMÉKAL. Z. Signály a soustavy: přednášky. Brno: VUT FEKT, 2003, 145 s. ISBN 80-214-2434-6. (CS)
PROAKIS, J. G. Algorithms for statistical signal processing. Upper Saddle River, N.J.: Prentice Hall, 2002. ISBN 0-13-062219-2. (EN)
JAN, J. Digital Signal Filtering, Analysis and Restoration. IEE Publishing, London, UK, 2000
KOZUMPLÍK, J., JAN, J., KOLÁŘ, R. Číslicové zpracování signálů v prostředí Matlab. Brno: VUT, 2001, 72 s. ISBN 80-214-1964-4. (CS)
Planned learning activities and teaching methods
Teaching methods depend on the way of teaching and are described in Article 7 of the BUT Rules for Studies and Examinations.
Teaching methods include lectures and computer exercises. Student develops individual tasks during computer exercises.
Assesment methods and criteria linked to learning outcomes
The conditions for the successful completion of the course are specified in the updated decree of the course guarantor. In general
Students will be evaluated on the basis of points in exercises (max. 20 points, min. 10 points) and final exam (max. 80 points, min. 40 points).
Exercise points can be reached on the basis of: i) 20-point test. In total, students can earn a maximum of 20 points during the semester, of which min. 10 points. The test consists of numerical examples and analysis of data set in MATLAB in the extent of exercises that will take place in 1-7 weeks of teaching; the test is submitted in paper form. The test cannot be repeated. Failure to attend the test for serious reasons will be dealt with individually. Active participation is evaluated in exercises in 9-13 teaching week, i.e. in 5 exercises, where each of these exercises can earn up to 2 points.
The exam can be obtained on the basis of a written final exam: max. 80 points, min. 40 points. The written final exam consists of two parts, a numerical part and a theoretical part, and covers the content of lectures and exercises.
Language of instruction
1. Introduction to signal analysis.
2. Discrete signals.
3. Discrete linear transformations.
4. Discrete linear systems
5. Linear filtering of signals. FIR type filters
6. Type IIR filters
7. Signal representation.
9. Random signals and their characteristics
10. Correlation analysis of signals
11. Spectral analysis of deterministic signals.
12. Spectral analysis of stochastic signals.
13. Cumulative methods of signal enhancement in noise
The aim of the course is to provide students with theoretical knowledge in the field of digital processing and signal analysis and practical verification of acquired skills.
Specification of controlled education, way of implementation and compensation for absences
The definition of the controlled education and the way of its implementation are stipulated by the updated guarantor's annual regulation.