1 / 92

Angle (Exponential) Modulation

Angle (Exponential) Modulation. Dr. Amit Mishra. Historical Background. 1/2/2020. 2. 1/2/2020. 3. Concept of Instantaneous Frequency. If we rewrite, Eq. (5.1) as,. Note that when. 1/2/2020. 4. The function. are known as the instantaneous phase.

cadle
Download Presentation

Angle (Exponential) Modulation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Angle (Exponential) Modulation Dr. Amit Mishra

  2. Historical Background 1/2/2020 2

  3. 1/2/2020 3

  4. Concept of Instantaneous Frequency If we rewrite, Eq. (5.1) as, Note that when 1/2/2020 4

  5. The function are known as the instantaneous phase deviation and instantaneous radian frequency deviation of is called the maximum (or peak) radian frequency deviation of the angle-modulated signal. 1/2/2020 5

  6. Phase and Frequency Modulation 1/2/2020 6

  7. We have: 1/2/2020 7

  8. We know that: Instantaneous radian frequency: 1/2/2020 8

  9. Waveforms: 1/2/2020 9

  10. Phase Modulation 1/2/2020 10

  11. Frequency Modulation 1/2/2020 11

  12. Generalized Concept of Angle Modulation Fig. 5.2 1/2/2020 12

  13. Fig. Generalized exponential modulation 1/2/2020 13

  14. 1/2/2020 14

  15. Example Fig. 5.4 1/2/2020 15

  16. Solution Given: 1/2/2020 16

  17. m(t) Derivative of m(t) 1/2/2020 17

  18. 1/2/2020 18

  19. Example Fig. 5.5 1/2/2020 19

  20. Solution Given: For- FM 1/2/2020 20

  21. For- PM Given: 1/2/2020 21

  22. 1/2/2020 22

  23. 1/2/2020 23

  24. Power of an Angle-Modulated Wave 1/2/2020 24

  25. Bandwidth of Angle-Modulated Waves We have: We know that: 1/2/2020 25

  26. 1/2/2020 26

  27. Narrow-Band and Wide-Band Angle Modulation Angle modulation: Nonlinear 1/2/2020 27

  28. How to make FM linear: 1/2/2020 28

  29. We have: Similarly : 1/2/2020 29

  30. Narrow-Band PM generation Fig 5.6 1/2/2020 30

  31. Narrow-Band FM generation Fig 5.6 1/2/2020 31

  32. Wide-band FM (WBFM) : The Fallacy Exposed Explanation: Fig 5.7 1/2/2020 32

  33. 1/2/2020 33

  34. 1/2/2020 34

  35. We know this: We have 1/2/2020 35

  36. where: 1/2/2020 36

  37. In AM: 1/2/2020 37

  38. 1/2/2020 38

  39. Bandwidth (Wide-band FM (WBFM)) 1/2/2020 39

  40. BW seems large due to approximation involved in analysis: Adjustment in BW: We have: 1/2/2020 40

  41. Carson’s rule: 1/2/2020 41

  42. Phase Modulation 1/2/2020 42

  43. 1/2/2020 43

  44. Example Fig 5.4 a 1/2/2020 44

  45. Solution: Band width is not given. How to evaluate?: 1/2/2020 45

  46. We have: 1/2/2020 46

  47. We have: 1/2/2020 47

  48. 1/2/2020 48

  49. 1/2/2020 49

  50. Example 1/2/2020 50

More Related