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 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.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Chi-Tsong Chen:System and Signal Analysis,Saunders College publishing, 1994. (EN)

Planned learning activities and teaching methods

Teachning methods include lectures with demonstrations of practical computations. Students have to write 7 projects.

Assesment methods and criteria linked to learning outcomes

30 points for 7 homework during semester
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, time-continuous systems, differential equations, Laplace transform.
Transfer function, zeros and poles, frequency response.
Frequency characteristics of the linear system.
Step response, impulse response.
Stability of the continuous systems.
Discrete-time signals, sampling of the continuous-time signal.
Discrete Fourier transform, the spectrum of the discrete time signal.
Discrete time system, difference equations, 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. 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-BK Bachelor's

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

Teacher / Lecturer