1 / 107

Lecture 6: Signals Transmission

Signals and Spectral Methods in Geoinformatics. Lecture 6: Signals Transmission. Signal transmission. 1 MODULATION : Placing the signal on a monochromatic signal ( carrier frequency ). 2 TRANSMISSION. 3 RECEPTION. 4 DEMODULATION : Signal recovery ( removal of carrier frequency ).

steve
Télécharger la présentation

Lecture 6: Signals Transmission

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. 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

More Related