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.

Chi-Tsong Chen:System and Signal Analysis,Saunders College publishing, 1994. (EN)
Jura P.: Signály a systémy. Elektronické skriptum, část I, II, III, třetí opravené vydání, 2016 (CS)

Planned learning activities and teaching methods

Teachning methods include lectures with demonstrations of practical computations. Students have to write 4 tests during the semester.

Assesment methods and criteria linked to learning outcomes

30 points for 4 small tests during semestr
70 points for semestr exam (only written)

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 EEKR-B Bachelor's

branch B-AMT , 2. year of study, winter semester, 6 credits, compulsory
branch B-SEE , 2. year of study, winter semester, 6 credits, compulsory

• Programme EEKR-CZV lifelong learning

branch ET-CZV , 1. year of study, winter semester, 6 credits, compulsory

#### Type of course unit

Lecture

52 hours, optionally

Teacher / Lecturer

The other activities

13 hours, optionally

Teacher / Lecturer