Course Details

ELE 301 Signals and Systems
2021-2022 Spring term information

The course is open this term
Section: 21
Supervisor(s):Dr. Mücahit K. Üner
OnlineMonday15:00 - 17:45

Timing data are obtained using weekly schedule program tables. To make sure whether the course is cancelled or time-shifted for a specific week one should consult the supervisor and/or follow the announcements.

Course definition tables are extracted from the ECTS Course Catalog web site of Hacettepe University ( in real-time and displayed here. Please check the appropriate page on the original site against any technical problems. Course data last updated on 26/05/2022.


Course Name Code Semester Theory
Credit ECTS
SIGNALS and SYSTEMS ELE301 5th Semester 3 0 3 5
Prerequisite(s)MAT236 Engineering Mathematics II
Course languageEnglish
Course typeMust 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Question and Answer
Problem Solving
Instructor (s)Faculty members 
Course objectiveThe aims of this course are as follows: Teach the students the basic properties of continuous and discrete-time sgnals and systems Make them competent in signal and system analysis both in time and frequency domains  
Learning outcomes
  1. L.O.1. Know the basic concepts about signals and systems and classify them accordingly
  2. L.O.2. Compute the system output both for periodic and aperiodic signals
  3. L.O.3. Understand and explain the relation between time and frequency domains
  4. L.O.4. Use the Fourier, Laplace and z-transforms effectively in in signal and system analysis
  5. L.O.5. Understand the sampling theorem and identify the relation between a continuous-time signal and its sampled version both in the time domain and the frequency domain
Course ContentBasic signal and system concepts
Properties of linear time-invariant systems
Fourier series expansions of continuous and discrete-time periodic signals
Fourier transforms of continuous and discrete-time signals
Computation of the outputs of linear time-invariant systems
Frequency selective filters and the relation between time and frequency
The Laplace transform and its region of convergence
The z-transform and its region of convergence
ReferencesOppenheim A.V., Willsky A.S., Nawab S.H., Signals and Systems, 2nd Ed., Prentice Hall, 1997.
Phillips C.L., Parr J., Riskin E., Signals, Systems, and Transforms, 4th Ed., Prentice Hall, 2007.

Course outline weekly

Week 1Basic signal properties, basic signals in discrete and continuous time.
Week 2Basic system properties, linear time-invariant (LTI) systems, the convolution integral and the convolution sum
Week 3Relation betwen LTI system properties and impulse response, Systems defined by differential and difference equations, Infinite and finite impulse response discrete systems, Block diagram representations
Week 4Fourier series expansion of continuous-time periodic signals, Properties of continuous-time Fourier series
Week 5Fourier series expansion of discrete-time periodic signals, Properties of discrete-time Fourier series
Week 6Computation of the output of an LTI system having a periodic input signal, Simple frequency selective filters and the relation between their time and frequency responses
Week 7The continuous-time Fourier transform, Properties of the continuous-time Fourier transform
Week 8The discrete-time Fourier transform, Properties of the discrete-time Fourier transform
Week 9Application of the Fourier transforms to systems defined by differential or difference equations, Duality relations
Week 10Midterm Exam
Week 11Sampling of continuous-time signals, The Nyquist criterion, aliasing, reconstruction and bandlimited interpolation, Processing of continuous-time signals by discrete-time systems
Week 12The Laplace transform and its region of convergence, Poles and zeroes, geometric computation of the continuous-time Fourier transform
Week 13Properties of the Laplace transform, The z-transform and its region of convergence
Week 14Poles and zeroes, geometric computation of the discrete-time Fourier transform, Properties of the z-transform
Week 15Preparation for Final exam
Week 16Final exam

Assesment methods

Course activitiesNumberPercentage
Field activities00
Specific practical training00
Final exam160
Percentage of semester activities contributing grade succes040
Percentage of final exam contributing grade succes060

Workload and ECTS calculation

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 3 42
Laboratory 0 0 0
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14684
Presentation / Seminar Preparation000
Homework assignment000
Midterms (Study duration)11010
Final Exam (Study duration) 11414
Total Workload3033150

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
1. PO1. Possesses the theoretical and practical knowledge required in Electrical and Electronics Engineering discipline.     X
2. PO2. Utilizes his/her theoretical and practical knowledge in the fields of mathematics, science and electrical and electronics engineering towards finding engineering solutions.  X  
3. PO3. Determines and defines a problem in electrical and electronics engineering, then models and solves it by applying the appropriate analytical or numerical methods.   X  
4. PO4. Designs a system under realistic constraints using modern methods and tools.X    
5. PO5. Designs and performs an experiment, analyzes and interprets the results.X    
6. PO6. Possesses the necessary qualifications to carry out interdisciplinary work either individually or as a team member. X    
7. PO7. Accesses information, performs literature search, uses databases and other knowledge sources, follows developments in science and technology.X    
8. PO8. Performs project planning and time management, plans his/her career development.X    
9. PO9. Possesses an advanced level of expertise in computer hardware and software, is proficient in using information and communication technologies.X    
10. PO10. Is competent in oral or written communication; has advanced command of English.  X  
11. PO11. Has an awareness of his/her professional, ethical and social responsibilities.X    
12. PO12. Has an awareness of the universal impacts and social consequences of engineering solutions and applications; is well-informed about modern-day problems.X    
13. PO13. Is innovative and inquisitive; has a high level of professional self-esteem.X    

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

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