| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| EEE5031 | Advanced Digital Signal Processing | Fall | 3 | 0 | 3 | 8 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Dr. Öğr. Üyesi ZAFER İŞCAN |
| Course Objectives: | The objective is to establish fundamental concepts of signal processing on multirate processing, parametric modeling, linear prediction theory, modern spectral estimation, and high-resolution techniques. |
|
The students who have succeeded in this course; Upon successful completion of the course, students will be able to: 1. Summarize time and frequency representation of digital signals. 2. Describe Discrete Time Fourier Transforms (DTFT's), 3. Illustrate frequency and phase responses of digital signals, and filter structres. 4. Design FIR filter and its windowing application. 5. Design IIR Filter with specification Impulse-Invariant, Bilinear, Prony, Shanks. 6. Estimate and Analyze of digital signals DFT and FFT. 7. Apply and design adaptive filter. 8. Evaluate and Estimate filter in digital systems. |
| Review of fundamentals: z-transforms, convolution, DFT and FFT. IIR and FIR filters. Parametric signal processing, deterministic and stochastic techniques; AR, MA, ARMA, ARMAX models. Spectrum estimation techniques, parametric and non-parametric methods. Adaptive IIR, FIR and lattice filters. Fast algorithms for DSP. Applications to image and signal processing. |
| Week | Subject | Related Preparation | |
| 1) | Introduction / Orientation | ||
| 2) | Signals and Systems | ||
| 3) | Discrete-Time Fourier Transforms (DTFT's). Frequency Representation of Signals and Systems. | ||
| 4) | Frequency and Phase Responses. Filter Structures. | ||
| 5) | FIR Filter Design: Windowing, Frequency Sampling, Parks-McClellan | ||
| 6) | IIR Filter Design: Impulse-Invariant, Bilinear, Prony, Shanks. | ||
| 7) | DFT. FFT | ||
| 8) | Spectral Analysis and Estimation. | ||
| 9) | Time-Frequency Analysis. | ||
| 10) | Linear Prediction. AR Modeling. Levison-Durbin Algorithm. | ||
| 11) | Adaptive Filtering. Least Mean Square (LMS) Adaptive Filters. | ||
| 12) | LMS Convergence. Recursive Least Squares (RLS). | ||
| 13) | Adaptive Filtering Applications. | ||
| 14) | Multirate Fundamentals. Rate Conversion. Filter Banks. | ||
| Course Notes: | "Digital Signal Processing, 4th Edition" by Proakis and Manolakis, Prentice Hall, 2007 (ISBN: 0-13-187374-1). |
| References: | Advanced Topics in Signal Processing, edited by Jae S. Lim and Alan V. Oppenheim (Prentice-Hall, 1987) |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | 0 | % 0 |
| Laboratory | 0 | % 0 |
| Application | 0 | % 0 |
| Field Work | 0 | % 0 |
| Special Course Internship (Work Placement) | 0 | % 0 |
| Quizzes | 0 | % 0 |
| Homework Assignments | 4 | % 20 |
| Presentation | 0 | % 0 |
| Project | 0 | % 0 |
| Seminar | 0 | % 0 |
| Midterms | 1 | % 30 |
| Preliminary Jury | 0 | % 0 |
| Final | 1 | % 50 |
| Paper Submission | 0 | % 0 |
| Jury | 0 | % 0 |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 13 | 3 | 39 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 16 | 8 | 128 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 4 | 6 | 24 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | 0 | 0 |
| Midterms | 1 | 3 | 3 |
| Paper Submission | 0 | 0 | 0 |
| Jury | 0 | 0 | 0 |
| Final | 1 | 2 | 2 |
| Total Workload | 196 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |