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Digital Signal Processing

Digital Signal Processing

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Digital Signal Processing

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

  2. Digital Signal ProcessingTopic 1: Introduction 1. Course overview 2. Digital Signal Processing 3. Basic operations & block diagrams 4. Classes of sequences DSP Course-IUST-Spring Semester

  3. 1.Course Overview • Digital signal processing: Modifying signals with computers • Web site: http://eeprofs.iust.ac.ir/rezairad/dsp • Book: Oppenheim “Digital Signal Processing” Mitra “Digital Signal Processing” • Instructor: rezai@iust.ac.ir DSP Course-IUST-Spring Semester

  4. 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 DSP Course-IUST-Spring Semester

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

  6. Course at a glance 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)} DSP Course-IUST-Spring Semester

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

  9. 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… DSP Course-IUST-Spring Semester

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

  11. DSP vs. analog SP DSP Course-IUST-Spring Semester

  12. 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 DSP Course-IUST-Spring Semester

  13. 3. Operations on signals DSP Course-IUST-Spring Semester

  14. Sequences DSP Course-IUST-Spring Semester

  15. Left- and right-sided DSP Course-IUST-Spring Semester

  16. Operations on sequences DSP Course-IUST-Spring Semester

  17. More operations DSP Course-IUST-Spring Semester

  18. Time shifting DSP Course-IUST-Spring Semester

  19. Combination of basic operations DSP Course-IUST-Spring Semester

  20. Up- and down-sampling DSP Course-IUST-Spring Semester

  21. Down-sampling DSP Course-IUST-Spring Semester

  22. Down-sampling DSP Course-IUST-Spring Semester

  23. Up-sampling DSP Course-IUST-Spring Semester

  24. Up-sampling DSP Course-IUST-Spring Semester

  25. Complex numbers DSP Course-IUST-Spring Semester

  26. Complex math DSP Course-IUST-Spring Semester

  27. Complex conjugate DSP Course-IUST-Spring Semester

  28. 4. Classes of sequences DSP Course-IUST-Spring Semester

  29. Classification by symmetry DSP Course-IUST-Spring Semester

  30. Conjugate symmetric decomposition DSP Course-IUST-Spring Semester

  31. Basic sequences DSP Course-IUST-Spring Semester

  32. More basic sequences DSP Course-IUST-Spring Semester

  33. Exponential sequences DSP Course-IUST-Spring Semester

  34. Complex exponentials DSP Course-IUST-Spring Semester

  35. Complex exponentials DSP Course-IUST-Spring Semester

  36. Periodic sequences DSP Course-IUST-Spring Semester

  37. Periodic exponentials DSP Course-IUST-Spring Semester

  38. Symmetry of periodic sequences DSP Course-IUST-Spring Semester

  39. Sampling sinusoids DSP Course-IUST-Spring Semester

  40. Aliasing DSP Course-IUST-Spring Semester