Course Details

ELE 407 Digital Signal Processing
2021-2022 Fall term information

The course is open this term
Section: 21
Supervisor(s):Dr. Gürhan Bulu
OnlineThursday13:00 - 15:45

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 15/09/2021.


Course Name Code Semester Theory
Credit ECTS
Prerequisite(s)ELE301 Signals and Systems
Course languageEnglish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Question and Answer
Drill and Practice
Other: This course must be taken together with ELE409 DIGITAL SIGNAL PROCESSING LABORATORY.  
Instructor (s)Faculty members 
Course objectiveSuccessful students are expected to gain the following abilities: Knowledge of basic mathematical analysis and signal processing methods, processing of signals both in time and frequency domains.  
Learning outcomes
  1. A student who completes the course successfully will L.O.1. Recognize signal processing problems,
  2. L.O.2. Model the encountered problems,
  3. L.O.3. Know which algorithms can be used to solve the problem, know the advantages and disadvantages of these algorithms,
  4. L.O.4. Apply the techniques and algorithms learnt in the class to problems encountered in projects and other real-life applications,
  5. L.O.5. Have adequate knowledge to follow and understand similar signal processing methods.
Course ContentDiscrete-time signals and systems. Difference equation representation. Sampling, decimation, interpolation. Review of the Z-transform. Transform analysis of linear, time-invariant systems. Structures for discrete-time systems. Effects of quantization. Infinite impulse response (IIR) and finite impulse response (FIR) filter design techniques. The discrete Fourier series, the discrete Fourier transform and Fast Fourier transform. Intoduction to two dimensional signals and systems. 
References1- Oppenheim, A.V. and R.W. Schafer , Discrete-time Signal Processing.Pearson, 2010.
2- Lecture Notes.

Course outline weekly

Week 1Review of Discrete-time signals, systems, Fourier, Z-tr.
Week 2Sampling, Decimation, Interpolation.
Week 3Diffrence Equation Representation, Frequency Response .
Week 4Relation Between Magnitude and Phase, Inverse systems, All-pass Systems.
Week 5Flow Graph Realization.
Week 6Quantization
Week 7Term Exam 1
Week 8Analog Butterworth and Chebyshev Filter Design.
Week 9Digital Butterworth and Chebyshev Filter Design, FIR Filter Design
Week 10Discrete-time Fourier Series, DFT, Properties of DFT.
Week 11Convolution with DFT (Overlap-add/save).
Week 12Fast Fourier Transform.
Week 13Term Exam 2
Week 142-D Signal Processing.
Week 15Preparation for Final exam
Week 16Final exam

Assesment methods

Course activitiesNumberPercentage
Field activities00
Specific practical training00
Final exam150
Percentage of semester activities contributing grade succes050
Percentage of final exam contributing grade succes050

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)21020
Final Exam (Study duration) 12525
Total Workload3144171

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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