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. Should be able to write effective reports, understand written reports, and prepare design and production reports.
2. Should have the ability to make effective presentations.
3. Should have the ability to give and have clear and understandable instructions.
4. Should gain consciousness (awareness) about the necessity of lifelong learning.
5. Should have the ability to access information.
6. Should have the ability to follow developments in science and technology and constantly renew himself/herself.
7. Should gain the awareness of professional and ethical responsibility and should act in accordance with ethical principles.
8. Should gain knowledge about the standards used in engineering applications.
9. Should gain knowledge about project management, risk management, and change management practices in business life.
10. Should gain awareness about entrepreneurship, and innovation.
11. Should gain knowledge about development in sustainability.
12. Should gain knowledge about the effects of engineering practices on health, environment, and security at universal and social dimensions and the problems of the age reflected in the field of engineering.
13. Awareness should be gained about the legal consequences of engineering solutions.
14. Should have sufficient knowledge in mathematics, science, and subjects specific to the relevant engineering discipline.
15. Should have the ability to use theoretical and applied knowledge in mathematics, science, and related engineering disciplines in complex engineering problems.
16. Should have the ability to detect, define, formulate, and solve complex engineering problems.
17. Should have the ability to select and apply appropriate analysis and modeling methods to solve complex engineering problems.
18. Should have the ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions.
19. Should have the ability to apply modern design methods.
20. Should have the ability to develop, select, and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications.
21. Should have the ability to use information technologies effectively.
22. Should have the ability to design experiments, for the study of complex problems or discipline-specific research topics.
23. Should have the ability to conduct experiments, collect data, analyze and interpret results for the study of complex problems or discipline-specific research topics.
24. Should have the ability to work in intradisciplinary teams.
25. Should have the ability to work in interdisciplinary teams.
26. Should have the skills to work individually.
27. Should have the ability to communicate effectively verbally and in writing.
28. Should have the knowledge of at least one foreign language.

Po-Lo Matrix