Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Modelling of Time Series in Medicine (17.BMIM2F)

Type of studies	Title
Master Academic Studies	Biomedical Engineering (Year: 1, Semester: Winter)

General information:

Category	Theoretical-methodological
Scientific or art field	Telecommunications and Signal Processing
ECTS	6

The course offers fundamental knowledge in the field of time series analysis and modelling as well as their application in various domains, most notably biomedical signal processing. The students formalize the concept of a time series through the notion of a discrete-time signal, they get acquainted with systems for processing discrete-time signals, basic transforms of discrete-time signals as well as digital filters. The students also learn about basic models of time series and their respective properties.

The students will learn basic signal processing algorithms and principal transforms of analog and discrete signals. They will get acquainted with discrete signals and digital filters through specific examples, and will be able to design systems for processing of biomedical signals using appropriate software tools. Based on the knowledge obtained within the course, they will be able to analyze a given problem, select an appropriate method for biomedical signal processing and implement it. In the computer lab they will obtain practical experience with appropriate programming environments.

Analog and discrete-time signals. Practical aspects of sampling. Transformations of analog and discrete signals and relations between them. Laplace and z-transform. Fourier transform of analog and discrete-time signal. Discrete-time systems and difference equations. Examples of digital FIR and IIR filters, their properties and methods of their design. An introduction to time series modelling and processing. Stationary processes.

The lectures are continuously followed by synchronized oral and computer exercises. Oral exercises contain practical problem solving sessions principally related to discrete-time signal processing. In the computer lab students obtain practical experience with signal processing software tools. Through the teaching process, students are constantly motivated to an intensive discussion, problem oriented reasoning, independent study work and active participation in the whole lecturing process. The prerequisite to enter the final exam is to complete the pre-exam assignments by earning at least 10 points.

Authors	Title	Year	Publisher	Language
Anderson, T.	The Statistical Analysis of Time Series	1971	John Wiley, New York	English
James Douglas Hamilton	Time Series Analysis	1994	Princeton University Press, Princeton, New Jersey	English
Bloomfield, P.	Fourier Analysis of Time Series	1976	John Wiley & Sons, New York	English
Koopmans, L.	The Spectral Analysis Of Time Series	1974	Academic Press, New York	English
P.J.Brockwell & R.A.Davis	Introduction to Time Series and Forecasting	2002	Springer	English
Chatfield, C.	The Analysis of Time Series : An Introduction	2004	Chapman and Hall/CRC, Boca Raton	English