Course detail

Signals and Systems

FEKT-BPC-SASAcad. year: 2018/2019

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.

Language of instruction

Czech

Number of ECTS credits

8

Mode of study

Not applicable.

Guarantor

Ing. Miroslav Jirgl, Ph.D.

Department

Department of Control and Instrumentation (UAMT)

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.

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 during semestr
10 points for individual project
50 points for semestr written exam
20 points for semestr oral exam

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.

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

Basic literature

Jura P.: Signály a systémy. Elektronické skriptum, část I, II, III, třetí opravené vydání, 2016 (CS)

Recommended reading

Not applicable.

Classification of course in study plans

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

Type of course unit

 

Lecture

52 hod., optionally

Teacher / Lecturer

Ing. Miroslav Jirgl, Ph.D.

Syllabus

Introduction, motivation, continuous-time signals.
Fourier transform, fequency spectrum. Examples.
Linear, continuous-time 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-time 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-time systems. Examples.
Discretization of continuous-time systems. Examples.

Exercise in computer lab

13 hod., compulsory

Teacher / Lecturer

Ing. Miroslav Jirgl, Ph.D.

Syllabus

Basic manipulations with vectors and matrixes.
Fourier transform, amplitude and phase spectrum.
Modeling of continuous-time linear systems.
Poles and zeros, frequency respons.
Frequency charakteristic of linear continuous-time system.
Step response, impulse response of linear continuous-time system.
Stability of linear continuous-time system.
Discrete-time signals, sampling.
Discrete Fourier transform, spectrum of discrete-time signal.
Modeling of discrete-time linear systems.
Frequency response, frequency charakteristic of discrete-time system.
Step response, impulse response of discrete-time system. Stability of discrete-time system.
Discretization of continous-time systems.