| 1. | Course Title | Advanced Digital Signal Processing Techniques | |||||||||||
| 2. | Code | 4ФЕИТ05019 | |||||||||||
| 3. | Study program | 10-DPSM, 19-MV, 22-BE | |||||||||||
| 4. | Organizer of the study program (unit, institute, department) | Faculty of Electrical Engineering and Information Technologies | |||||||||||
| 5. | Degree (first, second, third cycle) | Second cycle | |||||||||||
| 6. | Academic year/semester | I/1 | 7. | Number of ECTS credits | 6.00 | ||||||||
| 8. | Lecturer | Dr Dimitar Tashkovski | |||||||||||
| 9. | Course Prerequisites | ||||||||||||
| 10. | Course Goals (acquired competencies):
Successful completion of the course will provide students with: familiarization with all relevant discrete transformations and their features that enable processing in the domain of transformation; ability to recognize situations in which a particular transformation shows better performance than another; introduction to fast algorithms for the implementation of discrete transformations. Also, with a successful completion of the course, the student will demonstrate knowledge and understanding of: the basics of multi-rate processing, the basic idea of the filter banks, the design of filter banks, and the link between the filter banks and the wavelet transformati |
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| 11. | Course Syllabus:
A brief review of signals. Definition and basic properties of discrete transformations. Orthogonal discrete transformations: DFT, Hartley’s (DHT), Karhunen-Loeve (KLT), Cosine (DCT), Lapped (LOT), Wavelet (DWT), Walsh-Hadamard (WHT). Fast Algorithms: Concept and selected examples. Some typical DSP applications in the transform domain: filtering, spectrum estimation, coding, adaptive filtering, multi-rate processing. Introduction to the basic theory of multi-rate processing: decimation, interpolation and sample-rate conversion. Two-channel filter banks: QMF filter bank, filter bank with perfect reconstruction, paranitary, biorthogonal, and linear phase filter banks. Lattice structure of filter banks with perfect reconstruction. Link of filter banks with a wavelet transform. Lifting implementation of the wavelet transform. Application of wavelet transform for analysis and signal compression. |
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| 12. | Learning methods:
Lectures, supported by presentations and visualization of concepts, active participation of students, homework and project assignments |
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| 13. | Total number of course hours | 180 | |||||||||||
| 14. | Distribution of course hours | 3 + 3 | |||||||||||
| 15. | Forms of teaching | 15.1 | Lectures-theoretical teaching | 45 hours | |||||||||
| 15.2 | Exercises (laboratory, practice classes), seminars, teamwork | 45 hours | |||||||||||
| 16. | Other course activities | 16.1 | Projects, seminar papers | 30 hours | |||||||||
| 16.2 | Individual tasks | 30 hours | |||||||||||
| 16.3 | Homework and self-learning | 30 hours | |||||||||||
| 17. | Grading | ||||||||||||
| 17.1 | Exams | 0 points | |||||||||||
| 17.2 | Seminar work/project (presentation: written and oral) | 50 points | |||||||||||
| 17.3. | Activity and participation | 0 points | |||||||||||
| 17.4. | Final exam | 50 points | |||||||||||
| 18. | Grading criteria (points) | up to 50 points | 5 (five) (F) | ||||||||||
| from 51 to 60 points | 6 (six) (E) | ||||||||||||
| from 61 to 70 points | 7 (seven) (D) | ||||||||||||
| from 71 to 80 points | 8 (eight) (C) | ||||||||||||
| from 81 to 90 points | 9 (nine) (B) | ||||||||||||
| from 91 to 100 points | 10 (ten) (A) | ||||||||||||
| 19. | Conditions for acquiring teacher’s signature and for taking final exam | Regular attendance at classes | |||||||||||
| 20. | Forms of assessment | Project assignment and final exam. | |||||||||||
| 21. | Language | Macedonian and English | |||||||||||
| 22. | Method of monitoring of teaching quality | Internal evaluation and surveys. | |||||||||||
| 23. | Literature | ||||||||||||
| 23.1. | Required Literature | ||||||||||||
| No. | Author | Title | Publisher | Year | |||||||||
| 1. | D. F. Elliot and K. Ramamohan Rao, | Fast Transforms: Algorithms, Analyses, Applications, | Academic Press. Orlando FL, | ||||||||||
| 2. | P.P. Vaidyanathan, | Multirate Systems and Filters Banks | Prentice Hall, | 19883 | |||||||||
| 23.2. | Additional Literature | ||||||||||||
| No. | Author | Title | Publisher | Year | |||||||||
| 1. | G. Strang and T. Nguyen, | Wavelets and filter banks, | Wellesley-Cambridge Press | ||||||||||
