**Course title, code:** Signals and Systems, GAINBAN-JELEKREN-1

**Name and type of the study programme:**

**Curriculum:**2021

**Number of classes per week (lectures+seminars+labs):**2+2+0

**Credits:**4

**Theory:**50 %

**Practice:**50 %

**Recommended semester:**3

**Study mode:**full-time

**Prerequisites:**Electricity + Physics

**Evaluation type:**exam

**Course category:**compulsory

**Language:**english

**Responsible instructor:**Dr. Csík Norbert

**Responsible department:**Department of Information Technologies

**Instructor(s):**Dr. Csík Norbert

**Course objectives:**

Analysis of AC networks; understanding signal propagation, analogue and digital filters, application of digital signal processing methods, deterministic and stochastic signals in spectral- and time domain, introduction to basic systems theory.

**Course content - lectures:**

01 Classifying signals, introduction to the sinusoid waves 02 Linearism, complex numbers as signal representations, the complex method 03 Transfer function, filters with one breakpoints : RC-CR-LR-RL, analysis of RC 04 Analogue filters with one breakpoints : RC-CR-LR-RL - analysis of CR 05 Analogue filters with two breakpoints: RCC-CCR-LLR-RRL (PI, PD) 06 Synthesis class 07 "Exotic" filters: RCRC, Wien, TT-Notch and on the practice: Serial/Parallel RLC 08 Fourier-series, Fourier-transformation and its discretized versions (DFT, FFT) 09 Spectral features of the DFT / FFT 10 Laplace-transform (LT) 11 Calculating transfer functions, transfers and transients using the LT 12 Convolution and its importance in the signal processing 13 Synthesis class

**Course content - seminars:**

01 Sinusoid waves, revision of complex numbers 02 Revision of complex arithmetic, the base of the complex method 03 Using the complex method, analysis of AC circuits 04 Using the complex method, analysis of AC circuits 05 Synthesis practice 06 RC-CR-LR-RL, analysis of LR and RL, Bode-diagram 07 Reading and using the Bode-diagram, characteristics at low and high frequencies 08 Analysis of serial and parallel RLC resonant circuits 09 Synthesis practice 10 Using formal Laplace-transformation (LT) for differential equations 11 Calculating features of the transfer function based on LT 12 Calculating transients using the LT

**Acquired competences:**

__Knowledge:__

- Knowledge of the principles and methods of natural sciences (mathematics, physics, other natural sciences) relevant to the field of IT.
- He/she posesses a basic knowledge and engineering approach to signal processing, modelling, simulation and control of systems and networks.

__Skills:__

- He/she uses the principles and methods of natural sciences (mathematics, physics, other natural sciences) relevant to the field of information technology in his/her engineering work for the design of information systems.
He/she can apply his/her knowledge acquired during his/her study to acquire deeper knowledge in the field of information engineering and to process special literature and solve problems related to information technology.
- He/she cooperates with other computer science engineers, electrical engineers during team work, and with other experts during the analysis and solution of a problems.
- He/she constantly improves his/her knowledge and keeps up with the development of the computer engineering profession.

__Attitude:__

- He/she genuinely represents the professional principles of engineering and information technology fields.
- He/she aims to see through the entire engineering system not only his/her own field.
- He/she is open to acquire new methods, programming languages and develop skills to use them.
- He/she is open to get to know other fields which employ information technology tools, and open to work out information technology soultions in cooperation with the experts of other areas.

__Autonomy and responsibilities:__

__Additional professional competences:__

- Efficient use of digital technology, knowledge of digital solutions to fulfill educational objectives

**Requirements, evaluation, grading:**

**Mid-term study requirements:**

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**Exam requirements:**

The exam is written and consists mainly of exercises. A total of 100 points can be obtained in 90 minutes.

**Study aids, laboratory background:**

**Compulsory readings:**

[1] Orhan Gazi: Signals and Systems, Springer, 2021, ISBN-978-30-311-7788-0

**Recommended readings:**

[1] D. Sundararajan: Signals and Systems, Springer, 2021, ISBN-978-30-311-9376-7 [2] Tarun Rawat: Signals and Systems, Oxford University Press, 2010, ISBN-978-01-980-6679-8 [3] Alan Oppenheim & Alan Willsky: Signals and Systems, PEARSON Education Limited, 2013, ISBN-978-12-920-2590-2