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EEE 3513
COMMUNICATION PRINCIPLES
Amplitude Modulation (AM)
2
3
BLOCK DIAGRAM OF A TRANSMITTER
Modulating
Signal
Audio
Amplifier
Modulator
RF
Amplifier
Carrier
Signal
Transmitting
Antenna
4
BLOCK DIAGRAM OF A RECEIVER
RF
Amplifier
Mixer
Local
Oscillator
Intermediate
Frequency
Amplifier
Demodulator
Audio
Amplifier
Destination
Receiving Antenna
5
ANALOG
MODULATION
BASEBAND TRANSMISSION
Transmission without frequency shifting
Baseband signal is the information either in a digital or
analogue form.
Transmission of original information whether analogue or
digital, directly into transmission medium is called
baseband transmission.
7
Microphone
Voice
Audio
Amplifier
Audio
Amplifier
Speaker
Voice
Wire
EXAMPLE: INTERCOM
8
Baseband signal is not suitable for long distance
communication. Not suitable for radio/microwave and
satellite communication.
Hardware limitations, requires very long antenna.
9
Baseband signal is an audio signal of low frequency. For
example voice, range of frequency is 0.3 kHz to 3.4 kHz.
The length of the antenna required to transmit any signal at
least 1/10 of its wavelength (λ). Therefore, L = 100km
(impossible!)
10
Interference with other waves
Simultaneous transmission of audio signals will
cause interference with each other. This is due to
audio signals having the same frequency range
and receiver stations cannot distinguish the
signals.
11
MODULATION
 Modulation – defined as the process of modifying a
carrier wave (radio wave) systematically by the
modulating signal.
 This process makes the signal suitable for
transmission.
 Resultant signal – modulated signal.
12
2 TYPES OF MODULATION
Analogue Modulation.
Amplitude.
Angle (FM , Phase)
Digital Modulation.
ASK – Amplitude Shift Keying.
FSK – Frequency Shift Keying.
PSK – Phase Shift Keying.
)]
(
[
cos
)
( t
t
E
t
v c
c
c
c 
 

13
PURPOSE OF MODULATION
By using high frequency carrier signal, the information
(e.g. voice) can travel and propagate through the air at
greater distances and shorter transmission time.
Also, high frequency signal is less prone to noise and
interference. Certain types of modulation have the
useful property of suppressing both noise and
interference.
For example, FM use limiter to reduce noise and
keep the signal’s amplitude constant.
14
Amplitude Modulation (AM)
Objectives:
Recognize AM signal in the time domain, frequency
domain and trigonometric equation form.
Calculate the percentage of modulation index.
Calculate the upper sidebands, lower sidebands and
bandwidth of an AM signal by given the carrier and
modulating signal frequencies.
15
Calculate the power related in AM signal.
Define the terms of DSBSC, SSB and
VSB.
Understand the modulator and
demodulator operations.
16
 Modulation
 The alteration carrier Signal in accordance with modulating
signal.
 Carrier Signal
 Sinusoidal wave,
 Modulating Signal/Base band
 Information signal,
 Modulated Wave
 Higher frequency signal which is being modulated
t
E
t
v c
c
c 
cos
)
( 
t
E
t
v m
m
m 
cos
)
( 
)
(t
vAM )
(t
vFM
)
(t
vPM
17
Full AM - DSB-FC
• AM modulation is a fundamental modulation process in
communication system.
• Carrier frequency signal >> than modulating frequency signal.
=> fc >> fm.
• Modulator is used to generate AM signal, amDSB-FC(t). It is shown
in block diagram below.
  t
t
v
E
t
v c
m
c
AM 
cos
)
(
)
( 

vm(t)
vc(t)
AM Modulator
Modulating
signal
Carrier signal
AM modulated signal
18
Let
and
therefore, amDSBFC signal can be expressed:
 
 
  t
t
E
E
t
v
t
t
v
E
t
v
c
m
m
c
AM
c
m
c
AM



cos
cos
)
(
cos
)
(




t
E
t
v m
m
m 
cos
)
( 
t
E
t
v c
c
c 
cos
)
( 
19
AMPLITUDE MODULATION
Vc
- Vc
Vm
- Vm
Vam
- Vam
 
 
  t
t
E
E
t
v
t
t
v
E
t
v
c
m
m
c
AM
c
m
c
AM



cos
cos
)
(
cos
)
(




20
Modulation Index, m
min
max
min
max
min
max
min
max














V
V
V
V
V
V
V
V
m
p
p
p
p
p
p
p
p
V
V
V
V
m







min
max
min
max
where m
c E
E
V 


max m
c E
E
V 


min
   
   
c
m
m
c
m
c
m
c
m
c
E
E
E
E
E
E
E
E
E
E
m








or
and
Therefore
m
E
m
E
m
E
m
E
 
t
m
E
Envelope m
c 
cos
1


 
t
m
E
Envelope m
c 
cos
1



max

V
min

V
min

V
max

V
c
E

c
E

21
amDSBFC can be deduced to:
Modulation index :
From trigonometry identities:
Therefore:
c
m
E
E
m 
  t
t
m
E
t
v c
m
c
AM 
 cos
cos
1
)
( 

   
B
A
B
A
B
A 


 cos
2
1
cos
2
1
)
cos(
)
cos(
   t
mE
t
mE
t
E
t
t
mE
t
E
t
v
m
c
c
m
c
c
c
c
m
c
c
c
c
AM















cos
2
cos
2
cos
cos
cos
cos
)
(
  t
t
E
E
t
v c
m
m
c
AM 
 cos
cos
)
( 

22
• Signal frequency spectrum ; amDSBFC
   
 
t
t
mE
t
E
t
v m
c
m
c
c
c
c
AM 



 



 cos
cos
2
cos
)
(
Carrier signal Sidebands signal
)
(V
Amplitud
)
( 1

rads

c
 m
c 
 
m
c 
 
0
c
E
2
c
mE
2
c
mE
m

2
2
m
c E
mE

m
E
where
Jalur Sisi Bawah
LSB
Jalur Sisi Atas
USB
Carrier band
Modulating band
23
 
1
0 
 m
c
m
E
E
m 
)
(
,
1 c
m E
E
m 

)
(
,
1 c
m E
E
m 

)
(
,
1 c
m E
E
m 

The modulation index is given by :
Modulation indices range :
24
• The phase change for carrier signal when over-modulation
occurs and must be avoided.
• Modulation depth greater than 100% must be
avoided, ( m > 1 > 100%)
Phase change
25
2.2.3 Power, AM
 In the modulation process signal has been converted to
electrical signal in terms of current or voltage.
 The expression of AM signal components can be represented as
follows:
Pemodulatan Amplitud
)
(V
Amplitud
)
( 1

rads

c
 m
c 
 
m
c 
 
0
c
E
2
c
mE
2
c
mE
2
2
m
c E
mE

Where:
   t
mE
t
mE
t
E
t
v m
c
c
m
c
c
c
c
AM 



 



 cos
2
cos
2
cos
)
(
Carrier signal LSB signal USB signal
c
V LSB
V USB
V
26
Pemodulatan Amplitud
R
E
m
R
E
m
R
E
R
mE
R
mE
R
E
R
V
R
V
R
V
P
P
P
P
c
c
c
c
c
c
USB
LSB
c
USB
LSB
c
T
rms
rms
rms
8
8
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2






























R
E
P c
c
2
2

4
2
c
USB
LSB
P
m
P
P 

where
Therefore
2
4
4
2
2
2
c
c
c
USB
LSB
SB
P
m
P
m
P
m
P
P
P



















2
1
2
2
2
m
P
P
m
P
P
P
P
c
c
c
SB
c
T
and
Therefore the relationship between
the total power transmitted, PT and
the carrier signal power, Pc is as
follows:
27











2
1
2
m
P
P
P c
AM
T
%
100


T
SB
P
P

Watt
Transmission efficiency, η for AM:
2
2
2
2
2
2
2
2
1
2
2
1
2
m
m
m
m
m
P
P
m
c
c























where PSB is the total sidebands signal power that contains information
If m = 1 (100% modulation), the average power, PSB = 50% Pc= Pc/2
It shows that the PSB is dependent on m.
28
2
2
2 m
m



From:
The transmission efficiency with m = 1 is only 33.33% .
Therefore we can conclude that the transmitted power signal is mostly
carrier power signal contributing of 66.67% from the total AM signal.
Whereas signal contains information in the LSB and USB transmitted is
33.33% from the total AM signal.
In practice, information signal is complex or non periodic signal,
eg: music, voice, image and etc. Its consists of many frequencies and
harmonics components.
Its can be represented:
.....
2
;
2
......
cos
cos
)
(
2
2
1
1
2
2
1
1
m
m
m
m
m
m
m
m
m
f
f
where
t
E
t
E
t
v











29
Therefore total modulated power:
 
 
,.....
,
,
and
...
2
1
1
...
2
1
1
3
3
2
2
1
1
2
/
1
2
3
2
2
2
1
2
2
3
2
2
2
1
c
m
c
m
c
m
eff
eff
c
c
AM
E
E
m
E
E
m
E
E
m
m
m
m
m
where
m
P
m
m
m
P
P


























30
Each sideband is equal in bandwidth to that of the modulating signal and is a
mirror image of the other.
Amplitude modulation is inefficient in terms of power usage and much of it is
wasted. (66.67%)
At least two-thirds of the power is concentrated in the carrier signal, which
carries no useful information
The remaining power is split between two identical sidebands, though only
one of these is needed since they contain identical information.
)
( 1

rads

c
 m
c 
 
m
c 
 
0
c
E
2
c
mE
2
c
mE
2
2
m
c E
mE

where
Amplitude
(V)
Summary

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1. AM Part 1.pptx

  • 2. 2
  • 3. 3 BLOCK DIAGRAM OF A TRANSMITTER Modulating Signal Audio Amplifier Modulator RF Amplifier Carrier Signal Transmitting Antenna
  • 4. 4 BLOCK DIAGRAM OF A RECEIVER RF Amplifier Mixer Local Oscillator Intermediate Frequency Amplifier Demodulator Audio Amplifier Destination Receiving Antenna
  • 6. BASEBAND TRANSMISSION Transmission without frequency shifting Baseband signal is the information either in a digital or analogue form. Transmission of original information whether analogue or digital, directly into transmission medium is called baseband transmission.
  • 8. 8 Baseband signal is not suitable for long distance communication. Not suitable for radio/microwave and satellite communication. Hardware limitations, requires very long antenna.
  • 9. 9 Baseband signal is an audio signal of low frequency. For example voice, range of frequency is 0.3 kHz to 3.4 kHz. The length of the antenna required to transmit any signal at least 1/10 of its wavelength (λ). Therefore, L = 100km (impossible!)
  • 10. 10 Interference with other waves Simultaneous transmission of audio signals will cause interference with each other. This is due to audio signals having the same frequency range and receiver stations cannot distinguish the signals.
  • 11. 11 MODULATION  Modulation – defined as the process of modifying a carrier wave (radio wave) systematically by the modulating signal.  This process makes the signal suitable for transmission.  Resultant signal – modulated signal.
  • 12. 12 2 TYPES OF MODULATION Analogue Modulation. Amplitude. Angle (FM , Phase) Digital Modulation. ASK – Amplitude Shift Keying. FSK – Frequency Shift Keying. PSK – Phase Shift Keying. )] ( [ cos ) ( t t E t v c c c c    
  • 13. 13 PURPOSE OF MODULATION By using high frequency carrier signal, the information (e.g. voice) can travel and propagate through the air at greater distances and shorter transmission time. Also, high frequency signal is less prone to noise and interference. Certain types of modulation have the useful property of suppressing both noise and interference. For example, FM use limiter to reduce noise and keep the signal’s amplitude constant.
  • 14. 14 Amplitude Modulation (AM) Objectives: Recognize AM signal in the time domain, frequency domain and trigonometric equation form. Calculate the percentage of modulation index. Calculate the upper sidebands, lower sidebands and bandwidth of an AM signal by given the carrier and modulating signal frequencies.
  • 15. 15 Calculate the power related in AM signal. Define the terms of DSBSC, SSB and VSB. Understand the modulator and demodulator operations.
  • 16. 16  Modulation  The alteration carrier Signal in accordance with modulating signal.  Carrier Signal  Sinusoidal wave,  Modulating Signal/Base band  Information signal,  Modulated Wave  Higher frequency signal which is being modulated t E t v c c c  cos ) (  t E t v m m m  cos ) (  ) (t vAM ) (t vFM ) (t vPM
  • 17. 17 Full AM - DSB-FC • AM modulation is a fundamental modulation process in communication system. • Carrier frequency signal >> than modulating frequency signal. => fc >> fm. • Modulator is used to generate AM signal, amDSB-FC(t). It is shown in block diagram below.   t t v E t v c m c AM  cos ) ( ) (   vm(t) vc(t) AM Modulator Modulating signal Carrier signal AM modulated signal
  • 18. 18 Let and therefore, amDSBFC signal can be expressed:       t t E E t v t t v E t v c m m c AM c m c AM    cos cos ) ( cos ) (     t E t v m m m  cos ) (  t E t v c c c  cos ) ( 
  • 19. 19 AMPLITUDE MODULATION Vc - Vc Vm - Vm Vam - Vam       t t E E t v t t v E t v c m m c AM c m c AM    cos cos ) ( cos ) (    
  • 20. 20 Modulation Index, m min max min max min max min max               V V V V V V V V m p p p p p p p p V V V V m        min max min max where m c E E V    max m c E E V    min         c m m c m c m c m c E E E E E E E E E E m         or and Therefore m E m E m E m E   t m E Envelope m c  cos 1     t m E Envelope m c  cos 1    max  V min  V min  V max  V c E  c E 
  • 21. 21 amDSBFC can be deduced to: Modulation index : From trigonometry identities: Therefore: c m E E m    t t m E t v c m c AM   cos cos 1 ) (       B A B A B A     cos 2 1 cos 2 1 ) cos( ) cos(    t mE t mE t E t t mE t E t v m c c m c c c c m c c c c AM                cos 2 cos 2 cos cos cos cos ) (   t t E E t v c m m c AM   cos cos ) (  
  • 22. 22 • Signal frequency spectrum ; amDSBFC       t t mE t E t v m c m c c c c AM           cos cos 2 cos ) ( Carrier signal Sidebands signal ) (V Amplitud ) ( 1  rads  c  m c    m c    0 c E 2 c mE 2 c mE m  2 2 m c E mE  m E where Jalur Sisi Bawah LSB Jalur Sisi Atas USB Carrier band Modulating band
  • 23. 23   1 0   m c m E E m  ) ( , 1 c m E E m   ) ( , 1 c m E E m   ) ( , 1 c m E E m   The modulation index is given by : Modulation indices range :
  • 24. 24 • The phase change for carrier signal when over-modulation occurs and must be avoided. • Modulation depth greater than 100% must be avoided, ( m > 1 > 100%) Phase change
  • 25. 25 2.2.3 Power, AM  In the modulation process signal has been converted to electrical signal in terms of current or voltage.  The expression of AM signal components can be represented as follows: Pemodulatan Amplitud ) (V Amplitud ) ( 1  rads  c  m c    m c    0 c E 2 c mE 2 c mE 2 2 m c E mE  Where:    t mE t mE t E t v m c c m c c c c AM           cos 2 cos 2 cos ) ( Carrier signal LSB signal USB signal c V LSB V USB V
  • 26. 26 Pemodulatan Amplitud R E m R E m R E R mE R mE R E R V R V R V P P P P c c c c c c USB LSB c USB LSB c T rms rms rms 8 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2                               R E P c c 2 2  4 2 c USB LSB P m P P   where Therefore 2 4 4 2 2 2 c c c USB LSB SB P m P m P m P P P                    2 1 2 2 2 m P P m P P P P c c c SB c T and Therefore the relationship between the total power transmitted, PT and the carrier signal power, Pc is as follows:
  • 27. 27            2 1 2 m P P P c AM T % 100   T SB P P  Watt Transmission efficiency, η for AM: 2 2 2 2 2 2 2 2 1 2 2 1 2 m m m m m P P m c c                        where PSB is the total sidebands signal power that contains information If m = 1 (100% modulation), the average power, PSB = 50% Pc= Pc/2 It shows that the PSB is dependent on m.
  • 28. 28 2 2 2 m m    From: The transmission efficiency with m = 1 is only 33.33% . Therefore we can conclude that the transmitted power signal is mostly carrier power signal contributing of 66.67% from the total AM signal. Whereas signal contains information in the LSB and USB transmitted is 33.33% from the total AM signal. In practice, information signal is complex or non periodic signal, eg: music, voice, image and etc. Its consists of many frequencies and harmonics components. Its can be represented: ..... 2 ; 2 ...... cos cos ) ( 2 2 1 1 2 2 1 1 m m m m m m m m m f f where t E t E t v           
  • 29. 29 Therefore total modulated power:     ,..... , , and ... 2 1 1 ... 2 1 1 3 3 2 2 1 1 2 / 1 2 3 2 2 2 1 2 2 3 2 2 2 1 c m c m c m eff eff c c AM E E m E E m E E m m m m m where m P m m m P P                          
  • 30. 30 Each sideband is equal in bandwidth to that of the modulating signal and is a mirror image of the other. Amplitude modulation is inefficient in terms of power usage and much of it is wasted. (66.67%) At least two-thirds of the power is concentrated in the carrier signal, which carries no useful information The remaining power is split between two identical sidebands, though only one of these is needed since they contain identical information. ) ( 1  rads  c  m c    m c    0 c E 2 c mE 2 c mE 2 2 m c E mE  where Amplitude (V) Summary