Course detail

# Systems and Processes

Introduction, motivation, sorts of signals. Continuous-time signals, Fourier transform, frequency spectrum. Linear continuous-time systems, input-output description. Stability of continuous- time systems. Discrete-time signals, sampling. Discrete Fourier transform, spectrum. Linear discrete-time systems, input-output description. Stability of discrete-time systems.

Learning outcomes of the course unit

A student is able to apply the fundamentals of the signals and systems theory.

Prerequisites

Basic knowledge from the mathematics (algebra, differential calculus, differential equations).

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Pomůcka3 (CS)
P. Jura: Systémy a procesy, elektronické skriptum FP, 2013 (CS)

Planned learning activities and teaching methods

The course contains lectures that explain basic principles, problems and methodology of the discipline, and exercises that promote the practical knowledge of the subject presented in the lectures.

Assesment methods and criteria linked to learning outcomes

20 points at small semester tests,
10 points at project,
70 points at semester exam (only written)

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

Introduction, motivation, continuos-time signals.
Fourier transform, fequency spectrum.
Linear, continuous-time systems, differential equation, Laplace transform.
Transfer function, zeros and poles, frequency response.
Frequency characteristics of the linear system.
Step response, impulse response.
Stability of the continuous-time systems.
Discrete time signals, sampling of the continuous time signal.
Discete Fourier transform, the spectrum of the discrete-time signal.
Discrete-time system, difference equation, Z transform.
Transfer function, zeros and poles, frequency response, frequency characteristics.
Step response, impulse response. Stability of the discrete-time systems.

Aims

To acquaint with the fundamentals of signals and systems with the continuous and discrete time. Learn to apply the fundamentals to real signals and systems.

Specification of controlled education, way of implementation and compensation for absences

The attendance at lectures is not compulsory. PC exercises are mandatory, attendance is controlled. The teacher can excuse one absence from seminars - student will be given especially homework which can be grade up to 5 points (but at least 3 points). Points are not included in the total score.
PC exercises are focused on programming in MATLAB. During the semester there are 4 written tests each for up to 5 points, for a total of 20 points in the PC exercises. If a student has absence at this PC exercises, in which written test takes place, are points from the above specified homework included. There is allowed official Pomůcka 3 for the written test.
The maximum number of points for PC exercises is 20 (during the exercise, the teacher can grant additional bonus points as a separate activity or exercise solving problems like a total maximum of 10 points for the entire semester).
In the 10th week of the semester the student is given a separate project for 10 points. That this The project was recognized if student obtain min. 5 points. The project has to be submitted in the credit week. Note: Students who have the Individual Study Plan (studying semester abroad) do not attend lectures, have to deliver a special stand-alone project for getting the credit. For this particular project they can get 30 points.

Classification of course in study plans

• Programme MGR-SI Master's

branch MGR-IM , 1. year of study, summer semester, 5 credits, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

26 hours, compulsory

Teacher / Lecturer