Course detail

# Signals and Systems

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

Learning outcomes of the course unit

An absolvent is able to:
- compute a freguency spectrum of continuos periodic and non- periodic signal
- demonstrate an input-output description of linear continuos system
- decide about stability of linear continuous system
- compute a freguency spectrum of discrete periodic and non- periodic signal
- demonstrate an input-output description of linear discrete system
- decide about stability of linear discrete system
- convert continuous system on discrete system

Prerequisites

Differential and integral calculus one variable, Fourier series, Fourier transform, linear differential equations, Laplace transform, linear difference equation, Z transform.

• compulsory prerequisite

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

JURA, Pavel. Signály a systémy. Elektronické skriptum (část I, II, III), třetí opravené vydání, Brno 2016. (CS)
Chi-Tsong Chen:System and Signal Analysis,Saunders College publishing, 1994. (EN)
OPENHEIM, Alan, WILSKY, Alan. Signals and Systems. Second edition. New Jersey: Prentice Hall 1997, 957 s. ISBN 0-13-814757-4. (CS)
Jura P.: Signály a systémy. Elektronické skriptum, část I, II, III, třetí opravené vydání, 2016 (CS)
CHI-TSONG CHEN. System and Signal Analysis. Oxford University press 2004. 424 s. ISBN 0-19-515661-7. (CS)

Planned learning activities and teaching methods

Teaching methods include lectures with demonstrations of practical computations, and computer labs. Students have to write 4 tests during the semester and draw up 1 individual project.

Assesment methods and criteria linked to learning outcomes

20 points for 4 small tests / projects during semestr
10 points for individual tasks and project
70 points for semestr exam

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

Introduction, motivation, continuos time signals.
Fourier transform, frequency 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.
Discrete 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 systems. Discretization of continuous-time systems.

Aims

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

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

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Classification of course in study plans

• Programme BPC-AMT Bachelor's, 2. year of study, winter semester, 8 credits, compulsory

#### Type of course unit

Lecture

52 hours, optionally

Teacher / Lecturer

Exercise in computer lab

13 hours, compulsory

Teacher / Lecturer

eLearning