Czech, English

Not applicable.

By the end of the module, the student will be able to:
Describe continuous and discrete time signal in time and frequency domain.
Perform continuous and discrete time signal transform using the Fourier series, the Fourier transform, the Laplace transform and the Z-transform.
Discuss practical interpretations of these transforms and their properties.
Describe fundamental properties of LTI continuous-time systems.
Describe fundamental properties of LTI discrete-time systems.
Use the different methods to describe LTI systems.
Determine system response of an LTI system to standard and general signals.
Determine from the description of the LTI system its characteristics such as linearity, time-invariance, causality and stability.

Student should have sufficient competences of the mathematical analysis for bachelors, mainly: differential and integral calculus, series, and complex numbers.

Not applicable.

The module will be regularly lectured with laboratory exercises and consultations according to the paragraph 7 of BUT Rules for Studies and Examinations. Students have to write several tests during the semester.

In accordance with the paragraph 13 BUT Rules for Studies and Examinations, the percentage gain from different activities in this module is as follow:
30 % final project,
70 % final exam.
Only students with submitted and evaluated final project are allowed to proceed to the final exam.

1. General introduction and motivation; continuous and discrete world.
2. Time and Laplace domain of the continuous signal.
3. Frequency and Fourier domain of the continuous signal.
4. Transfer function and discretization of continuous signal.
5. Time domain of the discrete signal.
6. Frequency, Fourier and Z domain of the discrete signal.
7. An LTI continuous-time system.
8. Transfer function, response and discretization of an LTI continuous-time system.
9. Stability of an LTI continuous-time system.
10. An LTI discrete-time system.
11. Stability of an LTI discrete-time system.
12. Transfer function and response of an LTI discrete-time system.

Not applicable.

The purpose of this module is to provide students with the theory of the linear signals and systems with the continuous- and discrete- time and with the fundamental principles of their analysis.

Controlled tuition in this module is determined by the paragraph 7.5 of BUT Rules for Studies and Examinations and it is performed by a lecturer in accordance with the common sense in the academic sphere.

Not applicable.

Not applicable.

Oppenheim, A., V., Willsky, A., S. and Hamid, S., Signals and Systems. Prentice Hall; 2nd edition (August 16, 1996), ISBN: 0138147574 (EN)

Not applicable.