# Signals

Higher education teachers: Štruc Vitomir
Credits: 6
Semester: winter
Subject code: 64125

## Subject description

Prerequisits:

• registration to the 3. year study

Content (Syllabus outline):

• Introduction: Basic definitions, short history of the signal processing theory, position of the signal processing theory in electrotechnical and other sciences.
• Signals classification: Signals with finite energy and finite average power, periodical a-periodical, deterministic and random signals.
• Signals representations: Use of the signals representations, types of representations and representations quality measures, examples of basic functions sequences.
• Frequency analysis: Fourier series and Fourier transform
• Random signals: Approaches to the random signal processing, stationary random process, correlation and covariance functions, sampling and time averages, ergodicity
• Signals correlation and convolution: Correlation and convolution definitions and properties for different types of signals.
• Applications with correlation and convolution transformations: similarity measures, random signals spectrum evaluation, convolution and linear stationary systems, detection of periodic components in combination of signals.
• Sampling and quantization: Purpose of the sampling and quantization, sampling theorem, representation of sampling and reconstruction, types of quantization, quantization error signal and his properties, examples for quantization.
• Digital signal processing: Discrete Fourier Transform (DFT).

Objectives and competences:

• The aim of this course is to acquaint the student with the knowledge of different types and description of signals and processing methods.

Intended learning outcomes:

• Knowledge about mathematical signal modelling and representations
• Comprehension of time and frequency duality of signal representation and motivations for different signal descriptions
• Knowledge and comprehension of different signal representations and signal processing methods

Learning and teaching methods:

• Lectures
• Interactive teaching
• Practical assignements

## Study materials

1. MIHELIČ, France, GYERGYÉK, Ludvik, EBENŠPANGER, Tomaž. Signali : priročnik z zbirko rešenih nalog. 4. popravljena in dopolnjena izd. Ljubljana: Založba FE in FRI, 2009. 132 str., ilustr. ISBN 978-961-243-116-7. [COBISS.SI-ID 247400960]
2. MIHELIČ, France. Signali. 1. izd. Ljubljana: Fakulteta za elektrotehniko, 2006. 247 str., ilustr. ISBN 961-243-054-3.ISBN 978-961-243-054-2. [COBISS.SI-ID 230544128]

# Study in which the course is carried out

• 3 year - 1st cycle - Electrical Enginnering - Control Engineering