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?