Course code 02 21 5880 00
Number of ECTS points 4
Course title in the language of instruction
Signals and Systems
Course title in Polish Signals and Systems (Sygnały i systemy)
Course title in English
Signals and Systems
Language of instruction English
Form of classes
Lecture Tutorials Laboratory Project Seminar Other Total of teaching hours during semester
Contact hours 15 15 15 0 45
E-learning No No No No No No
Assessment criteria (weightage) 0.40 0.30 0.30 0.00
Unit running the course Instytut Elektroniki
Course coordinator dr inż. Piotr Korbel
Course instructors dr hab. inż. Sławomir Hausman, dr hab. inż. Stanisław Hałgas, dr inż. Łukasz Jopek, dr inż. Piotr Korbel, dr inż. Robert Strąkowski
Course learning outcomes
  1. Can select methods of analysis and processing sutied to the class of signals.
  2. Can apply time-frequency analysis of signals.
Programme learning outcomes
  1. Basic knowledge in the field of mathematics, physics and engineering and technical sciences; detailed knowldege in the field of electronics and telecommunications including selected issues from electrical engineering, automation and technical information technology.
  2. Ability to use one's knowledge from the area of ??electrical circuits, electronic circuits, basics of telecommunications systems, data transmission, signal processing, wired and wireless communication as well as non-technical aspects to design, build, commision and test a telecommunication system.
Programme content Basic characteristics of signals and systems. Signal classification. Continous time and discrete time signals. Methods for analog and digital signal analysis in time and frequency domain. Frequency domain analysis of periodic signals, Fourier series. Fourier transform. The sampling theorem. Discrete Fourier transform. Sampling theorem. Laplace transform. Z transformation. Analysis of linear systems in a steady state.
Assessment methods
EK1 - written test, laboratory reports
EK2 - written test, laboratory reports, exercises

Grading policies Lecture - written test. Laboratory - reports, activity during laboratory sessions. Exercises - realization of tasks during the classes Final grade - 40% of the test grade, 30% of the laboratory grade, 30 % of the exercises grade.
Course content LECTURE Signal classification: continuous time signals and discrete time signals; deterministic and random signals; elementary signals. Linear systems and filters: system classification - linear and non-linear systems, full-time and part-time, causal and non-causal systems; continuous systems and methods of their description; discrete time systems and methods for their description; differential equations; response to elementary arous-al; linear and cyclic weave; filtering; parallel and cascaded SSL connection; system stability. Laplace transformation. Analysis of simple circuits in undefined and fixed state. Crossovers, mathe-matical description, characteristic parameters, connections. Transmittance, time and frequency char-acteristics. Spectral analysis of signals: orthogonal signals and selected orthogonal bases of the signal space; Fourier series; Fourier transform; the relationship between the series and the Fourier transform; prop-erties of the series and Fourier transform; discrete time Fourier transform; discrete Fourier transform; comparison of various forms of Fourier's analysis, fast Fourier transform FFT. Signal sampling: limited range signals; theorem on sampling; reconstruction of the sampled signal, analog-digital and digital-to-analog conversion; quantization noise, signal to noise power ratio. Z transform: properties, inverse transform and methods of its calculation; Parseval theorem; relation-ships between Z transform and discrete time Fourier transform. Digital filters: filtration in the field of time and frequency; selected structures of digital filters; linear phase filters; design of digital filters with finite impulse response (SOI) by time windows; filter de-sign with infinite impulse response (NOI) through the use of analogue prototypes and bilinear trans-formation, frequency conversion; comparison of SOI and NOI filters. LABORATORY Analysis of simple electrical circuits by Laplace transform. Determination of transmittance and im-pulse response and their application to determine the response of the two-port. Illustration of selected issues of digital signal processing: - signal sampling; - spectral analysis of discrete signals; EXERCISES Illustrative exercises related to fundamentals of signal analysis and processing.
Basic reference materials
  1. Zieliński T.P.: Cyfrowe przetwarzanie sygnałów - Od teorii do zastosowań, WKiŁ, Warszawa, 2010
  2. Lyons R.: Wprowadzenie do cyfrowego przetwarzania sygnałów, WKiŁ, Warszawa, 2010
Other reference materials
  1. Oppenheim A.V., Schafer R.W.: Cyfrowe przetwarzanie sygnałów, WKiŁ, Warszawa, 1979
  2. Owen M., Przetwarzanie sygnałów w praktyce, WKiŁ, 2009
Average student workload outside classroom
Updated on 2019-09-09 13:38:26
Archival course yes/no no