Course code 02 56 4976 00
ECTS credits 2
Course title in the language of instruction
Podstawy teorii sygnałów
Course title in Polish Podstawy teorii sygnałów
Course title in English
Fundamentals of Signal Theory
Language of instruction Polish
Course level first-cycle programme
Course coordinator dr inż. Marek Ossowski
Course instructors dr inż. Marek Ossowski
Delivery methods and course duration
Lecture Tutorials Laboratory Project Seminar Other Total of teaching hours during semester
Contact hours 10 10 0 20
E-learning No No No No No No
Assessment criteria (weightage) 0.00 0.00 0.00
Course objective To acquaint students with basic properties of continuous-time and discrete-time signals. To describe some important operations on signals in time and frequency domains. To acquaint students with different signal processing methods and techniques based on various Fourier transforms and the Z-transform. To educate students in using MATLAB for solving basic problems of signal processing.
Learning outcomes
After finishing the course student is able to:
1.	define and classify various signals and systems 
2.	formulate pair of Fourier Transforms, convert signals in time domain and frequency domain using appropriate features of the Fourier Transform and apply Fourier Transform techniques for LTI systems analysis
3.	define Discrete Fourier Transform, Discrete Time Fourier Transform, apply FFT and IFFT algorithms
4.	describe aliasing and sampling continuous signals 
5.	define and apply direct and inverse  Z-transform
6.	describe fundamental concepts of filtering signals and designing discrete filters.
Assessment methods
1,3,5,6.Colloquium, assessment of the preparation for classes, laboratory report
2.Colloquium, laboratory report
4.Assessment of the preparation for classes, laboratory report


 
Prerequisites
Opis wymagań
None
Course content with delivery methods
LECTURE
Description and properties of continuous-time and discrete time signals.
The Fourier transform, properties, amplitude and phase spectra, Parseval's theorem. Sampling continuous signals.
Discrete Fourier transform (DFT), fast Fourier transform (FFT), Fourier transform of discrete signals (DTFT).
Signal energy and power.
Z-transform, properties, solving difference equations. Introduction to filtering signals.

TUTORIALS
None

LABORATORY
Introduction to the MATLAB program. Application of the MATLAB-Simuling program to computing of the discrete Fourier transform, convolution of signals, performing spectral analysis of signals. Solving diference equations using the Z-transform. Introduction to design of FIR filters using some MATLAG procedures.

PROJECT
None

SEMINAR
None
OTHER FORMS
Basic reference materials
Tadeusiewicz M., Signals and systems, Technical University of Łódź, 2004.
Tadeusiewicz M., Ossowski M., Sygnały i systemy. Zadania, Wydawnictwo Politechniki Łódzkiej, 2001.
Lyons Richard G., Wprowadzenie do cyfrowego przetwarzania sygnałów, WKŁ, W-wa 1999.
Wojciechowski J., Sygnały i systemy, WKiŁ, 2008.
Other reference materials
Balmer L., Signals and systems. An Introduction, Prentice Hall, 1995.
Palamides A., Veloni A., Signals and Systems Laboratory with MATLAB, CRC Press, 2010.
Average student workload outside classroom
31
Comments
Last update 2015-04-27 09:40:32