Course detail

Signals and systems

FEKT-KSASAcad. year: 2011/2012

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 disrete time systems, input-output description. Stability of the discrete time systems. Disretization of continuous systems.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

prof. Ing. Pavel Jura, CSc.

Department

Department of Control and Instrumentation (UAMT)

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 subjects KMA1, KMA2, KFY1, KFY2, KEL1, KEL2

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

30 points semestr tests, 70 points semestr exam

Course curriculum

Introduction, motivation, continuos time signals.
Fourier transform, fequency spectrum.
Linear, time continuous 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 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, fequency characteristics.
Step response, impulse response. Stability of the discrete systems, discretization of continuous time systems.

Work placements

Not applicable.

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme EEKR-BK Bachelor's

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

  • Programme EEKR-CZV lifelong learning

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

Type of course unit

 

Lecture

52 hours, optionally

Teacher / Lecturer

prof. Ing. Pavel Jura, CSc.

Syllabus

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

The other activities

13 hours, compulsory

Teacher / Lecturer

prof. Ing. Pavel Jura, CSc.

Syllabus

Individual projects proving the knowledges.