Title:

Signals and Systems

Code:ISS
Ac.Year:2018/2019
Term:Winter
Curriculums:
ProgrammeFieldYearDuty
IT-BC-1HBCH-Recommended
IT-BC-3BIT2ndCompulsory
Language of Instruction:Czech
Public info:http://www.fit.vutbr.cz/study/courses/ISS/public/
Credits:6
Completion:examination (written)
Type of
instruction:
Hour/semLecturesSeminar
Exercises
Laboratory
Exercises
Computer
Exercises
Other
Hours:39120014
 ExamsTestsExercisesLaboratoriesOther
Points:512501212
Guarantor:Černocký Jan, doc. Dr. Ing. (DCGM)
Deputy guarantor:Burget Lukáš, doc. Ing., Ph.D. (DCGM)
Lecturer:Černocký Jan, doc. Dr. Ing. (DCGM)
Instructor:Kodym Oldřich, Ing. (DCGM)
Landini Federico Nicolás (DCGM)
Mošner Ladislav, Ing. (DCGM)
Silnova Anna (DCGM)
Skácel Miroslav, Ing. (DCGM)
Žmolíková Kateřina, Ing. (DCGM)
Faculty:Faculty of Information Technology BUT
Department:Department of Computer Graphics and Multimedia FIT BUT
Prerequisites: 
Discrete Mathematics (IDA), DMAT
Mathematical Analysis (IMA), DMAT
Schedule:
DayLessonWeekRoomStartEndLect.Gr.St.G.EndG.
TuelecturelecturesD10508:0010:502BIB
TuelecturelecturesD020708:0010:502BIB
TuelecturelecturesD10508:0010:503BITxxxx
TueexerciselecturesM10311:0012:502BIA
TueexerciselecturesM10311:0012:502BIB
TueexerciselecturesN20313:0014:502BIA
TueexerciselecturesN20313:0014:502BIB
TueexerciselecturesA11215:0016:502BIA
TueexerciselecturesA11215:0016:502BIB
TueexerciselecturesN20317:0018:502BIA
TueexerciselecturesN20317:0018:502BIB
WedexerciselecturesM10309:0010:502BIA
WedexerciselecturesM10309:0010:502BIB
WedexerciselecturesM10317:0018:502BIA
WedexerciselecturesM10317:0018:502BIB
ThuexerciselecturesM10309:0013:502BIA
ThuexerciselecturesM10309:0013:502BIB
ThuexerciselecturesM10317:0018:502BIA
ThuexerciselecturesM10317:0018:502BIB
FriexerciselecturesM10309:0012:502BIA
FriexerciselecturesM10309:0012:502BIB
FrilecturelecturesE11213:0015:502BIA
FrilecturelecturesE10413:0015:502BIA
FrilecturelecturesE10513:0015:502BIA
FrilecturelecturesE11213:0015:503BITxxxx
 
Learning objectives:
  To learn and understand basic theory of signals and linear systems with continuous and discrete time. To introduce  to random signals. The emphasis of the course is on spectral analysis and linear filtering - 2 basic building blocks of modern communication systems.
Description:
  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.
Knowledge and skills required for the course:
  basic maths and statistics
Subject specific learning outcomes and competences:
  Students will learn and understand basis of  description and analysis of discrete and continuous-time signals and systems. They will also obtain practical skills in analysis and filtering in MATLAB/Octave.
Generic learning outcomes and competences:
  Students will deepen their knowledge in mathematics and statistics and apply it on real problems of signal processing. 
Syllabus of lectures:
 
  1. Digital filters - fundamentals and practical usage
  2. Frequency analysis using DFT - fundamentals and practical usage
  3. Image processing (2D signals) - fundamentals and practical usage
  4. Random signals - fundamentals and practical usage
  5. Applications of signal processing and introduction to theory
  6. Frequency analysis of continuous time signals
  7. Continuous time systems
  8. From continuous to discrete - sampling, quantization
  9. Discrete signal sin more detail
  10. Digital filtering in more detail
  11. Random signals in more detail
  12. Applications and advanced topics of signal processing
Syllabus of numerical exercises:
 
  1. Complex numbers, cosines and complex exponentials and operations therewith 
  2. Basics, filtering, frequency analysis 
  3. Continuous time signals: energy, power, Fourier series, Fourier transform 
  4. Continuous time systems and a bit of sampling 
  5. Operations with discrete signals, convolutions, DTFT, DFT 
  6. Digital filtering and random signals
Syllabus - others, projects and individual work of students:
 The project aims at practical experience with signals and systems in Matlab/Octave. Its study etap contains solved exercises on the following topics: 
  1. Introduction to MATLAB
  2. Projection onto basis, Fourier series
  3. Processing of sounds
  4. Image processing
  5. Random signals
  6. Sampling, quantization and aliasing
The project itself follows with an individual signal for each student, see http://www.fit.vutbr.cz/study/courses/ISS/public/#proj
Fundamental literature:
 
  • Oppenheim A.V., Wilski A.S.: Signals and systems, Prentice Hall, 1997
Study literature:
 
  • http://www.fit.vutbr.cz/study/courses/ISS/public/
  • Jan, J., Kozumplík, J.: Systémy, procesy a signály. Skriptum VUT v Brně, VUTIUM, 2000.
  • Šebesta V.: Systémy, procesy a signály I., Skriptum VUT v Brně, VUTIUM, 1997.
  • Jan J., Číslicová filtrace, analýza a restaurace signálů, VUT v Brně, VUTIUM, 2002, ISBN 80-214-1558-4.
Controlled instruction:
  
  • 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. 
Progress assessment:
  
  • 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.
 

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