Signals and Systems

• 12 hrs exercises
• 14 hrs projects

• 51 pts final exam (written part)
• 19 pts mid-term test (test part)
• 12 pts numeric exercises
• 18 pts projects

To learn and understand the 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 - two basic building blocks of modern communication and machine learning systems.
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. 

• Mathematical Analysis 2 (IMA2)
• Mathematical Analysis 1 (IMA1)
• Discrete Mathematics (IDM)

Basic maths and statistics.

• http://www.fit.vutbr.cz/study/courses/ISS/public/

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 sampling 
5. Operations with discrete signals, convolutions, DTFT, DFT 
6. Digital filtering and random signals

The project aims at the 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

• 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.