Mathematical models of time-continuous and time-discrete signals and systems. Classification. Analysis of linear systems. Fourier transforms of time-continuous and time-discrete signals (FS, FT, DTFT and DTFS). Frequency characteristics and filtering principles. Laplace and Z-transform. Decomposition and realisation of systems. Stability, controllability and observability of systems. Signal sampling and regeneration. Equivalence of time-continuous and time-discrete systems. Software used for analysis and simulation of systems.

Knowledge and skills acquired

Students acquire knowledge necessary for the analysis and signals and systems modelling.

Teaching methods

Lectures, auditory and laboratory exercises.

Student requirements

Defined by the Student evaluation criteria of the Faculty of Electrical Engineering, Computer Science and Information Technology Osijek and paragraph 1.9

Monitoring of students

Defined by the Student evaluation criteria of the Faculty of Electrical Engineering, Computer Science and Information Technology Osijek and paragraph 1.9

Student assessment

Revision exams and laboratory exercises revision exams.

Obligatory literature

1. 1 B. P. Lathi Linear Systems and Signals Oxford University Press, 2004; ISBN: 0-19-515833-4

Pretraži literaturu na:

1. 1 A.V.Oppenheim, A.S.Willsky Signale und Systeme, Arbeitsheft VCH, Verlagsgessellschaft, Weinheim, 1989

2. 2 Gabel i Roberts Signals and Linear Systems, 3/e J. Willey, 1987.

3. 3 H. Babić Signali i sustavi Zavodska skripta, ZESOI, Fakultet elektrotehnike i računarstva Zagreb, 1996.

Written and oral exam.

Course assessment

Conducting university questionnaires on teachers (student-teacher relationship, transparency of assessment criteria, motivation for teaching, teaching clarity, etc.). Conducting Faculty surveys on courses (upon passing the exam, student self-assessment of the adopted learning outcomes and student workload in relation to the number of ECTS credits allocated to activities and courses as a whole).

Overview of course assesment

1. define and classify signals and systems, and use terms from signal and system theory

2. analytically solve and evaluate mathematical models of time-dependent and time-discrete linear systems of the first and second order

3. model and evaluate the dynamic system in Simulink, and programme in MATLAB

4. define and describe the principle of superposition, superposition integral, superposition sum, convolution integral and convolution sum

5. define Laplace and z-transform, and apply and evaluate them to determine the response of linear time invariant systems

6. interpret four Fourier transforms (TCFS, TCFT, TDFS, TDFT) and their properties, and describe their application

Aktivnosti studenta: