SIGNALS & SYSTEMS

Course Description

Classification of Signals and Basic Signal Properties. Time Domain Models of Linear Time Invariant (LTI) Systems: Continuous time systems. Causal LTI systems described by differential equations. System block diagrams. The solutions of differential equations. The unit impulse response and convolution integral. State variable analysis of LTI systems. Discrete time systems. The unit sample response and discrete convolution. Fourier series and Fourier transform representation of continuous-time and discrete- time periodic signals. Time and frequency characterization of signals and systems. Z-transform and inverse z-transform. Region of convergence of the z-transform. z-domain analysis of discrete LTI systems. LTI Systems With Random Inputs. Definition of Random variables, stochastic process, first and second order statistics, moment, correlation and co-variance, stationary process, ergodicity. System resonse.

SIGNALS & SYSTEMS

Evaluation Tools (Active Term)

Course outcomes

1. 01 Identify the concepts of Discrete Time and Continuous Time signals and systems,
2. 02 Compute and draw the Discrete Time and Continuous Time time-domain operations of signals,
3. 03 Characterize systems depending on their properties.
4. 04 Draw and analyze a systems block diagram.
5. 05 Derive the output signal of a system for a given input.
6. 06 Derive the transformation of signals from time domain to frequency domain or vica versa,
7. 07 Implement signals and systems by using a numerical modelling software (MATLAB).

Course Syllabus

Reference Books & Course Materials

1. 01 Oppenheim, A. V., Willsky A. S. with Nawab, S. H., Signals & Systems, 2nd Edition, Prentice-Hall, 1997.
2. 02 Simon Haykin & Barry Van Veen, Signals and Systems, 2nd edition, John Wiley & sons, Inc 2003.
3. 03 Buck, J. R., Daniel, M. M. and Singer, A. C., Computer Explorations in Signals and Systems Using MATLAB, Prentice-Hall, 1997.
4. 04 Kwakernaak, H., Sivan, R., Modern Signals and Systems, Prentice-Hall, 1991.

Learning Outcomes

1. L01 Identify the properties of signals, SOLO 2
2. L02 Apply the Discrete Time and Continuous Time operations of signals and illustrate the results, SOLO 3
3. L03 Characterize systems depending on their properties. SOLO 3
4. L04 Diagram and analyze a systems block diagram. SOLO 3
5. L05 Derive the output signal of a system for a given input. SOLO 4
6. L06 Derive the transformation of signals from time domain to frequency domain or vica versa, SOLO 4
7. L07 Implement signals and systems by using a numerical modelling software (MATLAB). SOLO 4

Program Outcomes

1. P01 Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems.
2. P02 Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
3. P03 Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.
4. P04 Ability to devise, select, and use modern techniques and tools needed for analysing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively
5. P05 Ability to design and conduct experiments, gather data, analyse and interpret results for investigating complex engineering problems or discipline specific research questions.
6. P06 Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7. P07 Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.
8. P08 Recognition of the need for lifelong learning ; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9. P09 Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
10. P10 Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11. P11 Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.

Po-Lo Matrix