1. Digital Signal Processing
Electrical Engineering Department
Iran University of Science & Tech.
2/17/2007
DSP Course-IUST-Spring Semester

2. Digital Signal Processing Topic 1: Introduction
4/20/2017
Digital Signal Processing Topic 1: Introduction
1. Course overview
2. Digital Signal Processing
3. Basic operations & block diagrams
4. Classes of sequences
2/17/2007
DSP Course-IUST-Spring Semester
DSP Course Spring Semester Dr. Rezai-Rad

3. DSP Course-IUST-Spring Semester
1. Course Overview
Digital signal processing:
Modifying signals with computers
Web site:
Book:
Oppenheim “Digital Signal Processing”
Mitra “Digital Signal Processing”
Instructor:
2/17/2007
DSP Course-IUST-Spring Semester

4. DSP Course-IUST-Spring Semester
Grading Structure
Homeworks: 20%
Mainly from Oppenheim
Sunday-sunday schedule
Collaborate, don’t copy
Midterm: 20%
One session
Final exam: 30%
Project: 20%
Class Works: 10%
Brief representation
2/17/2007
DSP Course-IUST-Spring Semester

5. DSP Course-IUST-Spring Semester
Course Project
Goal: hands-on experience with DSP
Practical implementation
Work alone
Brief report, optional presentation
Recommend MATLAB
Titles on website
2/17/2007
DSP Course-IUST-Spring Semester

6. DSP Course-IUST-Spring Semester
Course at a glance
2/17/2007
DSP Course-IUST-Spring Semester

7. 2. Digital Signal Processing
Signals:
Information-bearing function
E.g. sound: air pressure variation at a point as a function of time p(t)
Dimensionality:
Sound: 1-Dimension
Grayscale image i(x,y) : 2-D
Video: 3 x 3-D: {r(x,y,t) g(x,y,t) b(x,y,t)}
2/17/2007
DSP Course-IUST-Spring Semester

8. DSP Course-IUST-Spring Semester
Example signals
Noise - all domains
Acoustic
ECG, EEG - biological
Radar
Image/video - compression
etc…
2/17/2007
DSP Course-IUST-Spring Semester

9. DSP Course-IUST-Spring Semester
Signal processing
Modify a signal to extract/enhance/rearrange the information
Origin in analog electronics e.g. radar
Examples…
Noise reduction
Data compression
Representation for recognition/classification…
2/17/2007
DSP Course-IUST-Spring Semester

10. Digital Signal Processing
DSP = signal processing on a computer
Two effects: discrete-time, discrete level
2/17/2007
DSP Course-IUST-Spring Semester

11. DSP Course-IUST-Spring Semester
DSP vs. analog SP
2/17/2007
DSP Course-IUST-Spring Semester

12. DSP Course-IUST-Spring Semester
Digital vs. analog
Pros
Noise performance - quantized signal
Use a general computer - flexibility, upgrde
Stability/duplicability
Novelty
Cons
Limitations of A/D & D/A
Baseline complexity / power consumption
2/17/2007
DSP Course-IUST-Spring Semester

13. DSP Course-IUST-Spring Semester
3. Operations on signals
2/17/2007
DSP Course-IUST-Spring Semester

14. DSP Course-IUST-Spring Semester
Sequences
2/17/2007
DSP Course-IUST-Spring Semester

15. DSP Course-IUST-Spring Semester
Left- and right-sided
2/17/2007
DSP Course-IUST-Spring Semester

16. Operations on sequences
2/17/2007
DSP Course-IUST-Spring Semester

17. DSP Course-IUST-Spring Semester
More operations
2/17/2007
DSP Course-IUST-Spring Semester

18. DSP Course-IUST-Spring Semester
Time shifting
2/17/2007
DSP Course-IUST-Spring Semester

19. Combination of basic operations
2/17/2007
DSP Course-IUST-Spring Semester

20. DSP Course-IUST-Spring Semester
Up- and down-sampling
2/17/2007
DSP Course-IUST-Spring Semester

21. DSP Course-IUST-Spring Semester
Down-sampling
2/17/2007
DSP Course-IUST-Spring Semester

22. DSP Course-IUST-Spring Semester
Down-sampling
2/17/2007
DSP Course-IUST-Spring Semester

23. DSP Course-IUST-Spring Semester
Up-sampling
2/17/2007
DSP Course-IUST-Spring Semester

24. DSP Course-IUST-Spring Semester
Up-sampling
2/17/2007
DSP Course-IUST-Spring Semester

25. DSP Course-IUST-Spring Semester
Complex numbers
2/17/2007
DSP Course-IUST-Spring Semester

26. DSP Course-IUST-Spring Semester
Complex math
2/17/2007
DSP Course-IUST-Spring Semester

27. DSP Course-IUST-Spring Semester
Complex conjugate
2/17/2007
DSP Course-IUST-Spring Semester

28. DSP Course-IUST-Spring Semester
4. Classes of sequences
2/17/2007
DSP Course-IUST-Spring Semester

29. Classification by symmetry
2/17/2007
DSP Course-IUST-Spring Semester

30. Conjugate symmetric decomposition
2/17/2007
DSP Course-IUST-Spring Semester

31. DSP Course-IUST-Spring Semester
Basic sequences
2/17/2007
DSP Course-IUST-Spring Semester

32. DSP Course-IUST-Spring Semester
More basic sequences
2/17/2007
DSP Course-IUST-Spring Semester

33. Exponential sequences
2/17/2007
DSP Course-IUST-Spring Semester

34. DSP Course-IUST-Spring Semester
Complex exponentials
2/17/2007
DSP Course-IUST-Spring Semester

35. DSP Course-IUST-Spring Semester
Complex exponentials
2/17/2007
DSP Course-IUST-Spring Semester

36. DSP Course-IUST-Spring Semester
Periodic sequences
2/17/2007
DSP Course-IUST-Spring Semester

37. Periodic exponentials
2/17/2007
DSP Course-IUST-Spring Semester

38. Symmetry of periodic sequences
2/17/2007
DSP Course-IUST-Spring Semester

39. DSP Course-IUST-Spring Semester
Sampling sinusoids
2/17/2007
DSP Course-IUST-Spring Semester

40. DSP Course-IUST-Spring Semester
Aliasing
2/17/2007
DSP Course-IUST-Spring Semester