Course Details

ELE 425 Telecommunication Theory II
2021-2022 Fall term information

The course is open this term
Section: 21
Supervisor(s):Dr. Emre Aktaž
E7Monday13:00 - 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 04/12/2021.


Course Name Code Semester Theory
Credit ECTS
Prerequisite(s)ELE302 Probability Theory, ELE324 Telecommunication Theory I
Course languageEnglish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Question and Answer
Problem Solving
Other: This course must be taken together with ELE427 TELECOMMUNICATIONS THEORY LABORATORY II.  
Instructor (s)Faculty members 
Course objectiveThe students are expected to learn digital modulation, receivers and error probability performance in AWGN channels, pulse shaping and limits of communication in bandlimited channels, analog pulse modulation, quantization. 
Learning outcomes
  1. A student who completes the course successfully will understand L.O.1. Fundamental modulation methods in digital communications
  2. L.O.2. Optimum receivers, MAP and ML detectors in AWGN channels
  3. L.O.3. Probability of symbol and bit errors, Q function, bounds on probabilty of error
  4. L.O.4. Digital transmission through bandlimited channels, Nyquist criterion for zero ISI
Course ContentGeometric representation of waveform signals
PAM, ASK, PSK, QAM, FSK modulation
Receivers and error probability performance in AWGN channels
Digital transmission through bandlimited channels and Nyquist criterion for zero ISI
ReferencesJ. G. Proakis and M. Salehi, Communications System Engineering, 2nd Ed, Prentice Hall, 2002.

Course outline weekly

Week 1Introduction, geometric representation of waveform signals, vector space, dimensionality, basis vectors
Week 2Inner product vector spaces, orthonormal bases, vector space of finite energy functions, Gram Schmidt orthonormalization
Week 3Pulse amplitude modulation
Week 4Two dimensional waveforms
Week 5PSK and QAM modulation
Week 6Multidimensional waveforms, FSK modulation
Week 7AWGN channel, matched filter, correlator
Week 8Optimum receivers in AWGN, MAP, ML receivers, decision regions
Week 9Probability of error for binary signaling, Q function
Week 10Pairwise error probability, union bound, lower bound on error probability
Week 11Midterm
Week 12Digital transmission through bandlimited AWGN channels, Nyquist criterion for zero ISI
Week 13Analog pulse modulation, A/D conversion
Week 14Time and phase synchronization, DPSK
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 succes250
Percentage of final exam contributing grade succes150

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)14342
Presentation / Seminar Preparation000
Homework assignment000
Midterms (Study duration)23060
Final Exam (Study duration) 13030
Total Workload3166174

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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