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Amplitude Modulation
Amplitude Modulation
• Modulating signal- Audio signal
• Carrier signal –Radio frequency
signal
• Electronic device used for
modulation- Modulator
• Frequency and phase of the
carrier is not changed.
Amplitude Modulation
Mathematical representation of Amplitude Modulation
 AM is defined as system of modulation in which the
instantaneous value of the carrier changes in
accordance with amplitude of the modulating
signal.
 instantaneous value of the modulating signal
em =Em sinωmt
 em – instantaneous amplitude of the modulating signal
 Em – maximum amplitude of the modulating signal
 ωm = 2πfm – angular frequency of the modulating signal
Contd.
 instantaneous value of the carrier signal
ec =Ec sinωct
 ec – instantaneous amplitude of the carrier signal
 Ec– maximum amplitude of the carrier signal
 ωc = 2πfc – angular frequency of the carrier signal
Contd.
 instantaneous value of the amplitude modulated signal
eAM =EAM sinωct
 eAM – instantaneous amplitude of the modulated signal
 EAM– maximum amplitude of the modulated signal
 ωc = 2πfc – angular frequency of the carrier signal
EAM
Contd.
Contd.
Example
 A carrier wave of frequency 10MHz and peak value 10Volts is amplitude
modulated by a 5KHz sine wave of amplitude 6Volts. What is the modulation
index?
Frequency Spectrum of AM Wave
Total Power of amplitude modulated wave

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Amplitude modulation

  • 2. Amplitude Modulation • Modulating signal- Audio signal • Carrier signal –Radio frequency signal • Electronic device used for modulation- Modulator • Frequency and phase of the carrier is not changed.
  • 4. Mathematical representation of Amplitude Modulation  AM is defined as system of modulation in which the instantaneous value of the carrier changes in accordance with amplitude of the modulating signal.  instantaneous value of the modulating signal em =Em sinωmt  em – instantaneous amplitude of the modulating signal  Em – maximum amplitude of the modulating signal  ωm = 2πfm – angular frequency of the modulating signal
  • 5. Contd.  instantaneous value of the carrier signal ec =Ec sinωct  ec – instantaneous amplitude of the carrier signal  Ec– maximum amplitude of the carrier signal  ωc = 2πfc – angular frequency of the carrier signal
  • 6. Contd.  instantaneous value of the amplitude modulated signal eAM =EAM sinωct  eAM – instantaneous amplitude of the modulated signal  EAM– maximum amplitude of the modulated signal  ωc = 2πfc – angular frequency of the carrier signal EAM
  • 9. Example  A carrier wave of frequency 10MHz and peak value 10Volts is amplitude modulated by a 5KHz sine wave of amplitude 6Volts. What is the modulation index?
  • 11. Total Power of amplitude modulated wave