Course code 
02 36 6249 00 
Number of ECTS points 
4 
Course title in the language of instruction 
Signal Processing 1 
Course title in Polish 
Signal Processing 1 (Przetwarzanie sygnałów 1) 
Course title in English 
Signal Processing 1 
Language of instruction 
English 
Form of classes 

Lecture 
Tutorials 
Laboratory 
Project 
Seminar 
Other 
Total of teaching hours during semester 
Contact hours 
30 

30 


0 
60 
Elearning 
No 
No 
No 
No 
No 
No 

Assessment criteria (weightage) 
0.50 

0.50 


0.00 


Unit running the course 
Instytut Elektroniki 
Course coordinator 
dr hab. inż. Sławomir Hausman 
Course instructors 
dr hab. inż. Sławomir Hausman, dr inż. Łukasz Jopek, dr inż. Piotr Korbel, dr inż. Robert Strąkowski 
Prerequisites 
No prerequisites. 
Course learning outcomes 
 EK1 Student is able to classify signals and systems.
 EK2 Student is able to apply fundamental signal transformations in time and frequency domains.
 EK3 Student is able to apply fundamental methods of signal analysis in time and frequency domains.
 EK4 Student is able to apply fundamental methods of FIR and IIR digital filter design.

Programme learning outcomes 
 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.
 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 nontechnical aspects to design, build, commision and test a telecommunication system.

Programme content 
Signal classification. Continuous time signals and discrete time signals. System Classification. Methods for describing systems with continuous and discrete time. Spectral analysis. Fourier series. Fourier transform. Discrete time Fourier transform. Discrete Fourier transform. Signal sampling. Analogtodigital and digitaltoanalog conversion. Transform Z, properties, inverse transform and methods of its calculation. Digital Filters. 
Assessment methods 
EK1  written test, discussion
EK2  written test, laboratory report
EK3  written test, laboratory report
EK4  written test, laboratory report

Grading policies 
Lecture  written test (50% of the final grade)
Laboratory  laboratory reports, discussion of the results (50 % of the final grade) 
Course content 
LECTURE
Signal classification: continuous and discrete time systems; deterministic and random signals; elementary signals;
Linear systems and filters: classification of systems  linear vs. nonlinear, timeinvariant, causal and anticausal; continuous time systems and their description; discrete time systems and their description; system response to elementary excitation; linear and circular convolution; filtering; connecting systems in parallel and in chain; stability.
Spectral analysis: orthogonal signals and orthogonal signal bases; Fourier series; Fourier transform; relation between Fourier series and Fourier transform; properties of Fourier series and transform; Discrete Time Fourier Transform; Discrete Fourier Transform; comparison of various methods of Fourier analysis.
Sampling: bandlimited signals; sampling theorem; reconstruction from sampled signal; A/D and D/A conversion; quantization noise; signal to noise ratio.
Z transform: properties, inverse transform and methods of finding inverse Z transform; Parseval's theorem; relation between the Z transform and Discrete Time Fourier Transform; Fast Fourier Transform.
Digital filters: filtering in time domain and in frequency domain; selected structures of digital filters; linear phase filters; FIR filter design with the windowing method; IIR filter design using analog prototypes and bilinear transformation; frequency conversion; comparison of FIR and IIR filters.
Continuous time modulation: amplitude modulation: AM, DSBSC, SSB; analytic signals; Hilbert filter; demodulation of SSB signal with the use of Hilbert filter; phase and frequency modulation; interpolation and decimation.
LABORATORY
Illustration of selected problems:
 signal sampling;
 spectral analysis;
 design of FIR;
 design of IIR filters;
 continuous time modulations. 
Basic reference materials 
 Notatki wykładowe (Lecture notes)
 Lyons R.: Wprowadzenie do cyfrowego przetwarzania sygnałów, WKiŁ, Warszawa, 2010
 Zieliński T.P.: Cyfrowe przetwarzanie sygnałów  Od teorii do zastosowań, WKiŁ, Warszawa, 2009

Other reference materials 
 Oppenheim A.V., Schafer R.W.: Cyfrowe przetwarzanie sygnałów, WKiŁ, Warszawa, 1979
 Owen M., Przetwarzanie sygnałów w praktyce, WKiŁ, 2009

Average student workload outside classroom 
51 
Comments 

Updated on 
20190920 15:43:06 
Archival course yes/no 
no 