Study program: Applied Electrical Engineering
Credits: 5
Lecturer: Assoc. Prof. Vitomir Štruc, PhD
Assistant: Asst. Marija Ivanovska, MSc
Course aims
Students learn about representations and characteristics of signals that can be represented as either (complex) deterministic functions or random functions of time and/or frequency. The students acquire knowledge about different signal types, signal descriptions and processing methods.
Content
The course lectures cover the most important topics from the area of signal processing:
- 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: the use of the signals representations, types of representations and representations, quality measures, examples of basic function 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, similarity measures, random signal spectrum evaluations, convolution and linear stationary systems, detection of periodic components in combinations 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 its properties, quantization examples.
- Digital signal processing: discrete Fourier transform.
Literature
Basic literature in Slovene
- Mihelič, F., Signali, Založba FE in FRI, 2006
- Mihelič, F., Gyergyek, L., Ebenšpanger, T., Signali – Priročnik z zbirko rešenih nalog, 3 izdaja, Založba FE in FRIm Ljubljana, 2009
Basic literature in English
- V. Štruc, Laboratory Assignments for Signal Processing – Workbook, e-book, First Edition, Ljubljana, 2015.
Alternatives in English
- Haykin , S. S., Van Veen , B.: Signals and Systems, Wiley, 2003.
- Phillips, C. L., Parr, J. M., Riskin, E. A.: Signals, Systems and Transforms, Prantice Hall, 2003.
- Gray, R. M., Davisson, L. D.: An Introduction to Statistical Signal Processing, Cambridge University Press, 2004.
- Ifeachor, E. C., Jervis, B. W.: Discrete transforms, Digital Signal Processing – A practical Approach, Prentice Hall, 2002.
- Mihelič, F., Signali, Založba FE, 2014 (dostopno v e-obliki v e-učilnici)
- Mihelič, F., Gyergyek, L., Ebenšpanger, T., Signali – Priročnik z zbirko rešenih nalog, 3 izdaja, Založba FE in FRIm Ljubljana, 2009
- Mihelič F., Štruc, V., Skripta predmeta Analiza Signalov (skripta), e-gradivo, Ljubljana 2012
Prerequisites
Basics of mathematical analysis, algebra and probability theory.
Additional information
More information on the course as well as material needed for the lab assignments is available from the E-classroom.