Course Details

ELE 770 Statistical Signal Processing
2020-2021 Spring term information

The course is open this term
Supervisor(s):Dr. Barış Yüksekkaya
OnlineFriday14:00 - 16:45

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 19/04/2021.


Course Name Code Semester Theory
Credit ECTS
Course languageTurkish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Question and Answer
Problem Solving
Instructor (s)Department Faculty 
Course objectiveSuccessful students are expected to gain the following abilities: Knowledge of basic estimation, filtering, prediction methods such as Bayes, MAP, MLE, LMSE, Wiener, Levinson and Kalman filters.  
Learning outcomes
  1. A student completing the course successfully
  2. L.O.1. Recognizes statistical signal processing problems,
  3. L.O.2. Models the encountered problems in suitable forms
  4. L.O.3. Knows which algorithms can be used to solve the problem established, knows advantages and disadvantages of these algorithms,
  5. L.O.4. Applies the techniques and algorithms learnt in the class in projects,
  6. L.O.5. Has the adequate knowledge to follow and understand advanced up-to-date algorithms.
Course ContentMetric space, inner product, norm etc. definitions.
Review of Probability and stochastic processes.
Estimation methods: Bayes, MAP, MLE, LMSE.
Filtering, estimation and prediction methods: Wiener, Levinson ve Kalman filters.
References1-T. Moon and W. Stirling, Mathematical Methods and Algorithms for Signal Processing, Prentice-Hall.
2-S.J. Orfanidis, Optimum Signal Processing, McGraww Hill.
3-S. Kay, Fundamentals of Statistical Signal Processing, Vol.I-II, Prentice Hall.
4-Lecture Notes.

Course outline weekly

Week 1Metric Spaces.
Week 2Norms, Orthogonal Spaces, Projections, Random Vectors.
Week 3Orthogonal Projections, Gram-Schmidt Orthogonalization.
Week 4Random Processes, Gaussian Processes, Markov Processes.
Week 5Random State Models.
Week 6Analysis of Systems, Spectral Factorization, Rational Modeling.
Week 7Bayesian Estimation, MAP, MLE,MSE.
Week 8LMSE.
Week 9Term Exam.
Week 10Wiener Filter.
Week 11Wiener Filter.
Week 12Levinson Filter.
Week 13Kalman Filter.
Week 14Kalman Filter.
Week 15Final Exam.
Week 16Final Exam.

Assesment methods

Course activitiesNumberPercentage
Field activities00
Specific practical training00
Final exam150
Percentage of semester activities contributing grade succes5050
Percentage of final exam contributing grade succes5050

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)149126
Presentation / Seminar Preparation000
Homework assignment8864
Midterms (Study duration)13030
Final Exam (Study duration) 14040
Total Workload3890302

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
1. Has highest level of knowledge in certain areas of Electrical and Electronics Engineering.    X
2. Has knowledge, skills and and competence to develop novel approaches in science and technology.    X
3. Follows the scientific literature, and the developments in his/her field, critically analyze, synthesize, interpret and apply them effectively in his/her research.  X  
4. Can independently carry out all stages of a novel research project.   X 
5. Designs, plans and manages novel research projects; can lead multidisiplinary projects.  X  
6. Contributes to the science and technology literature.   X 
7. Can present his/her ideas and works in written and oral forms effectively; in Turkish or English.  X  
8. Is aware of his/her social responsibilities, evaluates scientific and technological developments with impartiality and ethical responsibility and disseminates them. X   

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

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