Course detail

Signals 1

FEKT-BKC-SI1Acad. year: 2021/2022

The course Signals 1 deals with fundamentals of analog and digital signal processing and system analysis, a topic that forms an integral part of engineering systems in many diverse areas. The course presents the basic principles for both continuous-time and discrete-time signals and systems. Signal representations are developed for both time and frequency domains. Basic types of signals and their properties, useful signal operations, as well as classification and analysis of systems, are discussed and illustrated. In addition, students become familiar with visualization and processing of signals using computer with standard signal software and gain practical experiences by use of laboratory devices such as oscilloscope, signal generator, signal analyzer, etc. Students will use gained knowledge in subsequent courses oriented to specific applications of signal processing.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

prof. Ing. Milan Sigmund, CSc.

Department

Department of Radio Electronics (UREL)

Learning outcomes of the course unit

The graduate is able: (a) to measure and describe signals, (b) to define and generate required signal, (c) to estimate spectrum and properties of signals, (d) to convert analog signals and digital signals, (e) to analyze systems, (d) to discuss advantages and disadvantages of different signals and methods for signal processing.

Prerequisites

Basic knowledge of bachelor mathematics is requested (derivations, integrals, solution of equations, fundamentals of probability analysis, statistical distributions).

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Techning methods include lectures, exercises oriented to calculations, computer laboratories and practical laboratories. Course is taking advantage of e-learning (Moodle) system.

Assesment methods and criteria linked to learning outcomes

Students can obtain maximally 30 points for their activities during semester and 70 points for the final exam. The honored activities are as follows: one test oriented to calculations of signal problems (10 points), in-class computer exercises (10 points) and homeworks (10 points). The written final exam is based on the theory of signals and systems as well as calculations (70 points).

Course curriculum

1. Introduction to signals and systems, basic signal operations, harmonic signal.
2. Periodic and nonperiodic signals, typical examples, rectangular pulses.
3. Nonperiodic and quasiperiodic signals, typical examples.
4. Fourier transform, spectral function of selected signals.
5. Correlation and convolution, properties, applications, interrelationship.
6. Continuous-time systems, Laplace transform, transfer function.
7. Analysis of continuous-time systems, linear and nonlinear systems.
8. Conversions between analog and digital signals, sampling, quantization.
9. Properties of digital signals, signal recovery.
10. Discrete Fourier transform, applications of DFT, FFT-algorithm.
11. Discrete-time systems, elementary system blocks, characteristics.
12. Analysis of discrete-time systems, testing signals.
13. Signals in random processes, stacionarity, ergodicity.

Work placements

Not applicable.

Aims

The course is aimed to present common types of signals and their basic properties to students, and to explain analysis of systems as well as principles of interactions between signals and systems.

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

All exercises are compulsory. Missed lessons can be made up usually by the end of semester.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

GIANNAKOPOULOS, T., PIKRAKIS, A. Introduction to Audio Analysis: A MATLAB Approach. New York: Academic Press, 2014. (EN)
JAN, J. Číslicová filtrace, analýza a restaurace signálů. Brno: VUT v Brně, 2002. (CS)
KAMEN, E. W., HECK, B. S. Fundamentals of Signals and Systems. Englewood Cliffs: Prentice Hall, 2016. (EN)

Recommended reading

Not applicable.

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme BKC-EKT Bachelor's 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

Signals. Examples, definition. Harmonic signal.
Periodic signals. Fourier series expansion. Properties.
Fourier Transform. Properties of the Fourier transform.
Linear time-invariant systems and their description. Filtering.
Continuous-time random signals.
Sampling and signal recovery. Digital signals.
Discrete-time signals. Discrete Fourier series.
Discrete Fourier transform. FFT.
Random sequences. Pseudorandom sequences. PSD.
Discrete-time systems. Z transform. Examples.
Communication systems. Baseband signals.
Amplitude modulation. Frequency modulation. ASK, FSK, PSK.
I-Q modulations. Multiplexing and multiple-access techniques.

Fundamentals seminar

13 hod., compulsory

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

Viz přednášky

Exercise in computer lab

13 hod., compulsory

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

Description of signals.
Fourier series expansion. Examples.
Properties of the Fourier transform.
Random signals. Sampling. Quantisation noise.
Discrete Fourier transform.
Amplitude and frequency modulation, keying.

Laboratory exercise

13 hod., compulsory

Teacher / Lecturer

prof. Ing. Milan Sigmund, CSc.

Syllabus

Introduction.
Spectral analysis of the periodic signals.
Amplitude and frequency modulation. Analysis of the random signal.
Sampling, aliasing.
Digital signal processing of the own speech.
The frequency response of the discrete-time system.

Elearning

eLearning: currently opened course