# Lecture 6: Signals Transmission - PowerPoint PPT Presentation

Lecture 6: Signals Transmission

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Lecture 6: Signals Transmission

## Lecture 6: Signals Transmission

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1. SignalsandSpectral Methods in Geoinformatics Lecture 6: Signals Transmission

2. Signaltransmission 1MODULATION :Placing the signal on a monochromatic signal (carrier frequency) 2TRANSMISSION 3RECEPTION 4DEMODULATION:Signal recovery (removal of carrier frequency)

3. modulation

4. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC

5. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC Α. Amplitude modulation (general form) :

6. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) :

7. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) :

8. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) :

9. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation:

10. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation:

11. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation:

12. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation: Β. Angle modulation

13. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation: Β. Angle modulation Β1. PM = Phase Modulation: Β2. FM = Frequency Modulation:

14. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation: Β. Angle modulation Β1. PM = Phase Modulation: Β2. FM = Frequency Modulation:

15. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation: Β. Angle modulation Β1. PM = Phase Modulation: Β2. FM = Frequency Modulation:

16. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation: Β. Angle modulation Β1. PM = Phase Modulation: Β2. FM = Frequency Modulation:

17. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation: Β. Angle modulation Β1. PM = Phase Modulation: Β2. FM = Frequency Modulation:

18. modulation Modulation = placement of signalm(t) on a monochromatic signalxC(t) = aC cos(φ0C+ωCt) with carrier frequencyωC m(t) Α. Amplitude modulation (general form) : Β. Angle modulation (generalform) : Α. AM = Amplitude Modulation: Β. Angle modulation Β1. PM = Phase Modulation: Β2. FM = Frequency Modulation:

19. Example: Modulation of a sinusoidal signalm(t) = cosωt

20. Example: Modulation of a sinusoidal signalm(t) = cosωt signal to be modulated

21. Example: Modulation of a sinusoidal signalm(t) = cosωt signal to be modulated carrier frequency

22. AM Example: Modulation of a sinusoidal signalm(t) = cosωt signal to be modulated carrier frequency amplitude modulation

23. AM PM Example: Modulation of a sinusoidal signalm(t) = cosωt signal to be modulated carrier frequency amplitude modulation phase modulation

24. AM FM PM Example: Modulation of a sinusoidal signalm(t) = cosωt signal to be modulated carrier frequency amplitude modulation phase modulation frequency modulaion

25. AM FM PM Example: Modulation of a sinusoidal signalm(t) = cosωt signal to be modulated carrier frequency amplitude modulation phase modulation frequency modulaion

26. demodulation

27. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t)

28. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform :

29. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform :

30. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform :

31. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform :

32. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform :

33. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform :

34. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform : Properties used:

35. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform : Properties used: Modulation theorem

36. demodulation Demodulation = separation of main signalm(t)from the received modulated signalx(t) Spectrum of signalm(t) = Fourier transform : Properties used: Modulation theorem from which follows

37. Double Band demodulation

38. Double Band demodulation Modulation = multiplication of the signalm(t)with the carrier frequencycosωCt

39. Double Band demodulation Modulation = multiplication of the signalm(t)with the carrier frequencycosωCt Demodulation= multiplication again with the carrier frequencycosωCt + low pass filter

40. Double Band demodulation Modulation = multiplication of the signalm(t)with the carrier frequencycosωCt Demodulation= multiplication again with the carrier frequencycosωCt + low pass filter

41. Double Band demodulation Modulation = multiplication of the signalm(t)with the carrier frequencycosωCt Demodulation= multiplication again with the carrier frequencycosωCt + low pass filter ω  ω-ωC

42. Double Band demodulation Modulation = multiplication of the signalm(t)with the carrier frequencycosωCt Demodulation= multiplication again with the carrier frequencycosωCt + low pass filter ω  ω-ωC ω  ω+ωC

43. Double Band demodulation Modulation = multiplication of the signalm(t)with the carrier frequencycosωCt Demodulation= multiplication again with the carrier frequencycosωCt + low pass filter ω  ω-ωC ω  ω+ωC

44. Double Band demodulation Modulation = multiplication of the signalm(t)with the carrier frequencycosωCt Demodulation= multiplication again with the carrier frequencycosωCt + low pass filter ω  ω-ωC ω  ω+ωC

45. Double Band demodulation Modulation = multiplication of the signalm(t)with the carrier frequencycosωCt Demodulation= multiplication again with the carrier frequencycosωCt + low pass filter ω  ω-ωC ω  ω+ωC After the low pass filter remains:

46. Double Band demodulation

47. |M(ω)| Double Band demodulation original signal

48. |Χ(ω)| -ωC ωC |M(ω)| Double Band demodulation original signal MODULATION modulated signal

49. |Χ(ω)| -ωC ωC |M(ω)| Double Band demodulation original signal MODULATION TRANSMISSION - RECEPTION modulated signal

50. |Χ(ω)| -ωC ωC |D(ω)| -2ωC 2ωC |M(ω)| Double Band demodulation original signal MODULATION TRANSMISSION - RECEPTION modulated signal DEMODULATION Multiplication with carrier frequency