| 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 |
| EEE4501 | Digital Signal Processing | Fall | 3 | 2 | 4 | 6 |
| 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 course will provide the students with the understanding of how to analyze and manipulate digital signals, and the fundamental programming knowledge and experience to do so. |
|
The students who have succeeded in this course; 1. Identify if a system is a Linear Time-Invariant (LTI) System. 2. Describe signals and systems using Linear Constant Coefficient Difference Equations. 3. Define Fourier representations of signals and systems. 4. Demonstrate how to find the Z-transform of a LTI system. 5. Describe the relationship between poles, zeros, and stability. 6. Describe the Sampling Theorem and how this relates to Aliasing and Folding. 7. Define multirate signal processing concepts. 8. Demostrate skills to design, analyze, and implement digital filters in Matlab. 9. Determine the frequency response of FIR and IIR filters. 10. Determine the spectrum of a signal using the DFT, FFT and spectrogram. 11. Demonstrate DCT of a signal and ceptrum analysis. |
| Introduction to Matlab; Discrete-Time Signals and Systems; Linear Constant Coefficient Difference Equations, Fourier Transform; Z-Transform; LTI Discrete-Time Systems in the Transform Domain; Digital Processing of Continuous-Time Signals, Sampling; Multirate Signal Processing; Laplace Transform; Digital Filter Design; Linear Prediction, Discrete Fourier Transform; Discrete Cosine Transform; Cepstrum Analysis |
| Week | Subject | Related Preparation | |
| 1) | Meeting, Discussion of the Course, Introduction to MATLAB | ||
| 2) | Introduction to Digital Signal Processing Discrete-Time Signals and Systems | [Mitra] Chapter 1 [Mitra] Chapter 2 [OppenheimSchafer] Chapter 2.0-2.6 | |
| 3) | Linear Constant Coefficient Difference Equations Fourier Transform | [Mitra] Chapter 2.7-2.9, 3.1-3.6 [OppenheimSchafer] Chapter 2.5-2.9 | |
| 4) | Z-Transform | [Mitra] Chapter 6 [OppenheimSchafer] Chapter 3 | |
| 5) | LTI Discrete-Time Systems in the Transform Domain | [Mitra] Chapter 7 [OppenheimSchafer] Chapter 5 | |
| 6) | Digital Processing of Continuous-Time Signals Sampling | [Mitra] Chapter 4 [OppenheimSchafer] Chapter 4.1-4.6 | |
| 7) | Multirate Signal Processing | [Mitra] Chapter 13 [OppenheimSchafer] Chapter 4.7-4.9 | |
| 8) | Laplace Transform | Slides Various resources | |
| 9) | Midterm Exam. Discussion and solutions of the questions. | ||
| 10) | Digital Filter Design | [Mitra] Chapter 8, 9, 10 [OppenheimSchafer] Chapter 7 | |
| 11) | Linear Prediction | Slides Various resources | |
| 12) | Discrete Fourier Transform | [Mitra] Chapter 5.2-5.10 [OppenheimSchafer] Chapter 8 | |
| 13) | Discrete Cosine Transform | [Mitra] Chapter 5.11 [OppenheimSchafer] Chapter 8.8 | |
| 14) | Cepstrum Analysis Overview and Wrap-up | [OppenheimSchafer] Chapter 13 | |
| 15) | Course Project Presentations and Demonstrations | ||
| Course Notes: | Discrete-Time Signal Processing, Alan V. Oppenheim and Ronald W. Schafer, Third Edition, Pearson, 2010. |
| References: | Digital Signal Processing: A Computer-based Approach, Sanjit K.Mitra, Third Edition, McGraw-Hill 2006. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | 14 | % 5 |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | 5 | % 5 |
| Presentation | % 0 | |
| Project | 1 | % 20 |
| Seminar | % 0 | |
| Midterms | 1 | % 30 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 40 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 40 | |
| PERCENTAGE OF FINAL WORK | % 60 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 10 | 3 | 30 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 17 | 3 | 51 |
| Presentations / Seminar | 1 | 1 | 1 |
| Project | 6 | 4 | 24 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 2 | 0 | 0 |
| Preliminary Jury | 0 | 0 | 0 |
| Midterms | 1 | 2 | 2 |
| Paper Submission | 0 | 0 | 0 |
| Jury | 0 | 0 | 0 |
| Final | 1 | 2 | 2 |
| Total Workload | 152 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |