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Image:FM Message and Modulated Signals.svg - Wikipedia, the free encyclopedia

Image:FM Message and Modulated Signals.svg

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FM_Message_and_Modulated_Signals.svg (SVG file, nominally 600 × 260 pixels, file size: 50 KB)

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Description

A graph showing an FM modulated signal with the original message signal. The modulating (message) and carrier signals are given respectively as:

  • x_m(t)=0.65 \left[ 0.2 \sin(t) + 0.5 \cos(2 t) + \cos(4.5 t)\right]
  • x_c(t)=A \cos(2 \pi f_c)\,

where

  • A=2\,
  • f_c=3\,

The modulated signal is then given by:

y(t) A \cos \left( 2 \pi \int_{0}^{t} \left[ f_c + x_m(\tau)f_\Delta  \right] \, d \tau \right)

where the frequency deviation is given by:

  • f_\Delta=0.15\,
Source

self-made in Inkscape

Date

16/02/2008

Author

Inductiveload

Permission
(Reusing this image)
Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


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Other versions

Modulating and Carrier Signals

Modulated Signal

File history

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Date/TimeDimensionsUserComment
current12:53, 16 February 2008600×260 (50 KB)Inductiveload ({{Information |Description=A graph showing an FM modulated signal with the original message signal. The modulating (message) and carrier signals are given respectively as: *<math>x_m(t)=0.65 \left[ 0.2 \sin(t) + 0.5 \cos(2 t) + \cos(4.5 t)\right]</math> *)
The following pages on the English Wikipedia link to this file (pages on other projects are not listed):


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