3. Types of Modulation
• Amplitude Modulation: Amplitude of the carrier
is varied in accordance with the instantaneous
values of modulating signal.
• Frequency Modulation: Frequency of the carrier
is varied in accordance with the instantaneous
values of modulating signal.
• Phase Modulation: Phase of the carrier is varied
in accordance with the instantaneous values of
modulating signal.
4. Benefits or Need of Modulation
• To reduce the length or height of antenna
• For multiplexing
• For narrow banding or to use antenna with single
or same length
• To reduce noise effect
• To avoid equipment limitation or to reduce the
size of the equipment.
6. Amplitude Modulation
The carrier signal is given by,
C(t) = Ac Coswct
Where, Ac= Maximum amplitude of the carrier
signal.
W= 2πfc= Frequency of the carrier signal.
Modulating or baseband signal is given by,
X(t) = Am Coswmt
Where, Am = Amplitude of the baseband signal.
7. Amplitude Modulation
The standard equation for amplitude modulated
signal is expressed as,
S(t)= Ac Cos2πfct[1+ma(Cos2πfmt)]
Where, ma = Am/Ac = Modulation Index
Time Domain representation of AM:
S(t)=AcCos2πfct+μAc/2Cos[2πfc+2πfm]t+μAc/2Cos[2πfc-2πfm]t
I term: Carrier signal with amplitude Ac and frequency fc.
II. term: Amplitude= μAc/2, frequency= fc+fm , Upper sideband
frequency
III.term: Amplitude= μAc/2, frequency= fc-fm , Lower sideband
frequency
8. Amplitude Modulation
Frequency Domain representation of AM:
The time domain representation of AM wave is
given by,
S(t)= Ac Cos2πfct[1+ma(Cos2πfmt)]
Taking Fourier transform on both sides,
S(f) = Ac/2[δ(f-fc)+ δ(f+fc)] + Acma/2[M(f-fc)+ M(f+fc)]
9. Modulation Index
Modulation index or depth of modulation is given
by,
ma = [Amax-Amin/ Amax+Amin]= Am/Ac
Percentage of modulation index is,
%ma = [Amax-Amin/ Amax+Amin]X100= [Am/Ac ]X100
Types of AM with respect to modulation index:
• Under Modulation (ma <1)
• Critical Modulation (ma =1)
• Over Modulation (ma >1)