ELE636 - DETECTION and ESTIMATION THEORY
Course Name | Code | Semester | Theory (hours/week) |
Application (hours/week) |
Credit | ECTS |
---|---|---|---|---|---|---|
DETECTION and ESTIMATION THEORY | ELE636 | Any Semester/Year | 3 | 0 | 3 | 8 |
Prequisites | None. Students are expected to have taken ELE 324, ELE 425 courses. | |||||
Course language | Turkish | |||||
Course type | Elective | |||||
Mode of Delivery | Face-to-Face | |||||
Learning and teaching strategies | Lecture Question and Answer Problem Solving | |||||
Instructor (s) | Department Faculty | |||||
Course objective | The objective of the course is to provide a good understanding of detection and estimation theory which represents a combination of the classical techniques of statistical inference and the random process characterization of communication, radar, sonar, and other modern data processing systems | |||||
Learning outcomes |
| |||||
Course Content | Classical Detection and Estimation Theory : - Binary Hypothesis Testing - Optimum Decision Criteria : Bayes, Neyman-Pearson, Minimax - Decision Performance : Receiver Operating Characteristic - M-ary Hypotheses Testing Estimation Theory : - Random parameter estimation : MS, MAP estimators - Nonrandom and unknown parameter estimation : ML estimator - Cramer-Rao lower bound - Composite Hypotheses - The general Gaussian problem Representation of Random Processes: - Orthogonal representation of signals - Random process characterization - White noise processes Detection of continuous signals - Detection of known signals in white Gaussian noise | |||||
References | Van Trees, Detection, Estimation, and Modulation Theory, Part I, Wiley, 2001. Shanmugan and Breipohl, Random Signals, Wiley, 1988. H.V. Poor, An Introduction to Signal Detection and Estimation, Fall/ Springer, New York, 1994. C.W. Helstrom, Elements of Signal Detection and Estimation, Prentice Hall, 1995. |
Course outline weekly
Weeks | Topics |
---|---|
Week 1 | Binary Hypothesis Testing |
Week 2 | Optimum Decision Criteria |
Week 3 | Decision Performance |
Week 4 | M-ary Hypotheses Testing |
Week 5 | Random parameter estimation |
Week 6 | Nonrandom parameter estimation |
Week 7 | Cramer-Rao inequality |
Week 8 | Composite Hypotheses |
Week 9 | The general Gaussian problem |
Week 10 | Midterm Exam |
Week 11 | Orthogonal representation of signals |
Week 12 | Representation of Random Processes |
Week 13 | White noise processes |
Week 14 | Detection of known signals in white Gaussian noise |
Week 15 | Preparation Week for Final Exams |
Week 16 | Final exam |
Assesment methods
Course activities | Number | Percentage |
---|---|---|
Attendance | 0 | 0 |
Laboratory | 0 | 0 |
Application | 0 | 0 |
Field activities | 0 | 0 |
Specific practical training | 0 | 0 |
Assignments | 6 | 15 |
Presentation | 0 | 0 |
Project | 0 | 0 |
Seminar | 0 | 0 |
Midterms | 1 | 40 |
Final exam | 1 | 45 |
Total | 100 | |
Percentage of semester activities contributing grade succes | 0 | 55 |
Percentage of final exam contributing grade succes | 0 | 45 |
Total | 100 |
WORKLOAD AND ECTS CALCULATION
Activities | Number | Duration (hour) | Total Work Load |
---|---|---|---|
Course Duration (x14) | 14 | 3 | 42 |
Laboratory | 0 | 0 | 0 |
Application | 0 | 0 | 0 |
Specific practical training | 0 | 0 | 0 |
Field activities | 0 | 0 | 0 |
Study Hours Out of Class (Preliminary work, reinforcement, ect) | 14 | 7 | 98 |
Presentation / Seminar Preparation | 0 | 0 | 0 |
Project | 0 | 0 | 0 |
Homework assignment | 6 | 5 | 30 |
Midterms (Study duration) | 1 | 32 | 32 |
Final Exam (Study duration) | 1 | 38 | 38 |
Total Workload | 36 | 85 | 240 |
Matrix Of The Course Learning Outcomes Versus Program Outcomes
D.9. Key Learning Outcomes | Contrubition level* | ||||
---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |
1. Has general and detailed knowledge in certain areas of Electrical and Electronics Engineering in addition to the required fundamental knowledge. | X | ||||
2. Solves complex engineering problems which require high level of analysis and synthesis skills using theoretical and experimental knowledge in mathematics, sciences and Electrical and Electronics Engineering. | X | ||||
3. Follows and interprets scientific literature and uses them efficiently for the solution of engineering problems. | X | ||||
4. Designs and runs research projects, analyzes and interprets the results. | X | ||||
5. Designs, plans, and manages high level research projects; leads multidiciplinary projects. | X | ||||
6. Produces novel solutions for problems. | X | ||||
7. Can analyze and interpret complex or missing data and use this skill in multidiciplinary projects. | X | ||||
8. Follows technological developments, improves him/herself , easily adapts to new conditions. | X | ||||
9. Is aware of ethical, social and environmental impacts of his/her work. | X | ||||
10. Can present his/her ideas and works in written and oral form effectively; uses English effectively | X |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest