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AM (Amplitude Modulation)

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Page 1: AM (Amplitude Modulation)

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AMPLITUDE MODULATION

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Two major Disadvantages/Drawbacks

of DSBFC

◦ Large power consumption, where carrier power constitutes >2/3transmitted power.{remember:carrier does not contain anyinformation}

◦ Large bandwidth utilized.

Thus, DSBFC is both power and bandwidth inefficient

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Single Side Band Full Carrier (SSB-

FC)Frequency spectrum:

Bandwidth=fm(max)

Total Power=Pcarrier  +Pusb f cf c+f m

f c-f m

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Single Side band SuppressCarrier (SSB-SC)

Frequency spectrum:

Bandwidth=fm(max)

Total Power=+Pusb f cf c+f m

f c-f m

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Cont’d… 

◦ A form of amplitude modulation in which the carrier is totallysuppressed and one of the sidebands removed.

◦ Therefore, SSBSC requires half as much bandwidth as

conventional DSB AM and considerably less transmitted power

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 Comparison of time domain representation ofthree common AM transmission systems: 

Tomasi 

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Example 1

For an AM DSCFC wave with a peak unmodulatedcarrier voltage Vc = 10 Vp,frequency of 100kHz, aload resistor of RL = 10 , frequency of modulating

signal of 10kHz and m = 1, determine the following

i) Powers of the carrier and the upper and lower sidebands.

ii) Total power of the modulated wave.

iii) Bandwidth of the transmitted wave.

iv) Draw the power and frequency spectrum.

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Example 1..cont’d 

◦ For the same given values, determine questions (ii)-(iv) for a AMDSB-SC, AM SSB-FC and AM SSB-SC systems. Determine also thepercentage of power saved in each of the system design.

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Example 1..cont’d  Solution for DSBFC;i)

ii)

iii) Bandwidth=2xfmmax=2(10kHz)=20kHz 

 P m

 P m

 P  P ccct 

5.7)5(4

1)5(

4

15

4422

22

 P m

 P  P 

W  R

 R

V  P 

c

lsbu sb

cc

c

25.14

5102

)10(

2

)2/(

2

222

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Example 1..cont’d 

Solution:For DSB-SCii)

iii)Bandwidth=2xfmmax=2(10kz)=20kHz 

iv)

%67.66

%1005.7

5%

5

5.25.7

 xW 

W  Power 

W W  Power 

 sa ved 

 sa ved 

 P m

 P m

 P cct 

5.2)5(

4

1)5(

4

1

4422

22

110kHz 

90kHz 

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Example 1..cont’d 

◦ Solution:For SSB-sC

ii)

iii)Bandwidth=fmmax=10kHz

iv)

%33.83

%1005.7

25.6%

25.6

25.15.7

 xW 

W  Power 

W W  Power 

 sa ved 

 sa ved 

 P m

 P ct 

25.1)5(4

1

42

2

f c

110kHz f c-f m

M th d f G ti SSB

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Methods of Generating SSB

i) Filtering method 

◦ A filter removes the undesiredsideband producing SSB.

◦ Balanced modulators is used to

suppress the unwanted carrier andfilters to suppress the unwantedsidebands

◦ Quartz crystal filters are the most

widely used sideband filters since theyare very selective and inexpensive.

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Block diagram of filtering

method

Filterresponse

curve

Sidebandfilter

Balanced

modulator 

Carrier

oscillator

Microphone Audio

amplifier

Linear

amplifier

Antenna

Upper

sidebands 

DSB

signal

SSB

signal

Lower

sidebands 

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Block diagram of phasing

methodBalanced

Modulator 1 

Balanced

Modulator 2 

Phase shifter  

Phase shifter  

Information signal 

Carrier signal 

Output Signal, aot 

Am cos wmt 

Am cos (wmt + 90) 

Ac cos (wct + 90) 

A2(t) 

A1(t) 

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Mathematical analysis of

phasing method

  )2()90cos()90cos(21

cos*)90cos()(

)1()()()(

00

0

1

210

t wt w A At wt w A A

t w At w At a

t at at a

mcmcmcmc

mmcc

  )3()90cos()90cos(21

)90cos(*)cos()(

00

0

2

t wt w A At wt w A A

t w At w At a

mcmcmcmc

mmcc

)90cos(

)3()2()(0

0

t wt w A A

t a

mcmc

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VESTIGIAL SIDEBAND (VSB)

Also called asymmetric sideband system.

Compromise between DSB & SSB.

Easy to generate.

Bandwidth is only ~ 25% greater than SSBsignals.

Derived by filtering DSB, one pass band ispassed almost completely while just a traceor vestige of the other sideband is included.

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Cont’d 

AM wave is applied to a vestigial sideband filter, producing amodulation scheme –  VSB + C

Mainly used for television video transmission.

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Cont’d…vsb 

VSB Frequency Spectrum

fc fc 

LSB  MSB 

Carrier  

VSB 

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Advantages/Benefits of SSB

◦ Power consumption

◦ Bandwidth conservation

◦ Selective fading

◦ Noise reduction

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Disadvantages of SSB

◦ Complex receivers

◦ Tuning difficulties