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 |