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One gains ¼ of the knowledge from the Acharya (the teacher), ¼ from
his own self-study and intellect, ¼ from his classmates and the
remaining ¼ is gained as a person becomes matured as time passes.
COMMUNICATION ENGINEERING
Mr.R.VIJAY ANANDH
Instructions to all Participants
➢ Kindly mute Audio & turnoff Video while entering and till the
session end. Don’t try to record Video.
➢ Get your pen, notebook and calculator along with you.
➢ https://www.slideshare.net/rmkrva/communication-engineering-class-1
➢ https://www.slideshare.net/rmkrva/communication-engineering-class-2
➢ https://www.slideshare.net/rmkrva/communication-engineering-class3.
https://www.slideshare.net/rmkrva/communication-engineering-class-4
➢ Subject clarifications will be given wherever necessary and
during Q&A sessions also.
How the classes would be:
➢ Discussion on concepts with Block diagram & Circuit
diagram .
➢ Classes will be interactive with Brain storming
activities, demo , quiz ,small derivations & calculations
➢ Interesting facts about Basic communication
technology.
➢ Group activities off line /online, Assignments will be
given.
H
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SASANK REDDY J POOJITH ITHA SIVARAM V
VAMSI KRISHNA SAMPATH
REDDY M
NANDHINI S MOHAMED YAHYA R DHEERAJ KUMAR S V S ANISH MATHEW OOMMEN P
PREETHI S KOLA BHAVANI SANKAR NIVETHITHA A S CHARAN KUMAR M V
SOWMIYA E GOGINENI VENKATA NIKHIL REINITA THOMAS PRAVEEN KUMAR.S
SWATHI N SHAMITHA R V VISHAL G BRINDHA C
KAVANURU JAGAN CHILAKA DEVI SRI PRASAD SOWNDARYA S
APPASAMUDRAM
NAGAPRATHIBHA
DHEERAJ H POOJITHA K SOMU SAMPATH KUMAR REDDY KIRUTHIKA K
MANJU PARKAVI G ZUHAYR A PREETHI D KESHAV S
HARINI G ABBURI VAMSI KRISHNA HARITHA S VIDHYAVARSHINI D
JALADI VINEETH SANDIREDDY BHAVANA VUNNAM MAHITHA SANDEEP KUMAR K V
APARNA T SANGARAJU DHARANI DIVYA RANI R KARTHIK BALAJI R
CHINNI SAI ABHIJITH PRIYADHARSHINI E M KRISHNA KUMAR K GOKUL RAJ K
SHAKTHI A S
RAMAIAHGARI CHENGANNA
BHANUSREE
SOWMYA V PRAJNA A
KEERTHIPATI VYSHNAVI MADHAV K SAI SIDDHARDHA NARISETTY JAISNAVI D
NOTI PARAMESWARI YASHWANTH N MUPPALA MONA SREE KOTA RAGHAVA JAYA SAIRAKESH
RAGAVI V S NIRANJAN JP MONIKA M HARSHINI S
LANKAMSETTY PREMDEEP NANDHINI R JAISREE K G BALIREDDY BHANUSREE
KAVIN RAJ R S BALAKRISHNA GAGANSAI MANDADI SRIHITHA
EC8395-COMMUNICATION
ENGINEERING
1 ANALOG MODULATION
2 PULSE MODULATION
3 DIGITAL MODULATION AND TRANSMISSION
4 INFORMATION THEORY AND CODING
5 SPREAD SPECTRUM AND MULTIPLE ACCESS
Classification of Modulation System
5
• Single sideband with suppressed
carrier.
• Frequency Spectrum – To understand
about Bandwidth.
• Power Relations
• Efficiency – Power saving
• Summary
4
3
2
1
SESSION TOPICS
Important Formulae to Solve AM-DSB-FC problems
ma =
Vm
Vc
% modulation index, = max100
=(
Vm
Vc
)x100
Vmax = Vc+ Vm
Vmin = Vc - Vm
ma =
(Vmax − Vmin)
(Vmax+Vmin )
BW = 2fm
BW = f2 - f1
PC=
Vc
2
2𝑅
PLSB= PUSB =
ma
2
𝟒
PC
PT= PC +PLSB+ PUSB
PT = Pc[ 1 +
ma
2
𝟐
]
VAM (t) = Vc [1+ maCos 2πfmt] Cos 2πfCt
VAM (t) = Vc Cos ωC t +
maVc
𝟐
Cos(ωC + ωm)t +
maVc
𝟐
Cos(ωC - ωm)t
➢ AM Double sideband with FULL
carrier.
• For an AM DSBFC wave with a peak unmodulated
carrier voltage Vc = 10 V, a load resistor of RL = 10 
and modulation Co-efficient ma = 1, determine
a) Powers of the carrier and the upper and lower sidebands.
b) Total sideband power.
c) Total power of the modulated wave.
d) Draw the power spectrum.
Given,
➢ carrier voltage Vc = 10 V,
➢ Load resistor of RL = 10 
➢ Modulation Co-efficient ma = 1.
PC=
Vc
2
2𝑅
=
102
2 (10)
=
100
2 (10)
= 5𝑊
PLSB= PUSB =
ma
2
𝟒
PC =
12
𝟒
(5)= 1.25W
PT = Pc[ 1 +
ma
2
𝟐
] = 5[ 1 +
12
𝟐
] =5[ 1 + 0.5 ] =5[ 1.5 ] = 7.5 W
Total Side band Power =PLSB+ PUSB = 1.25 W+ 1.25 W = 2.5 W
(a)
(b)
(c)
Power spectrum
fc
fLSB
1.25 W
fUSB
5W
1.25 W
Frequency (Hz)
Power (W)
(d)
Observations:
➢ AM Double sideband with FULL carrier.
➢The sum and difference frequencies are present.
➢Only 33.3% efficiency is achieved. Because, two-thirds of the power is being
wasted in the carrier, which carries no information.
➢Power consumed by LSB and USB are same.
➢Duplication of Amplitude occur in LSB or USB
Target:
➢ How to improve efficiency?
Answer: To overcome the drawback, unmodulated carrier term can be
eliminated.
VAM (t) = Vc Cos ωC t +
maVc
𝟐
Cos(ωC + ωm)t +
maVc
𝟐
Cos(ωC - ωm)t
Double sideband Suppressed carrier
A
B
A→ “message signal crosses Zero”
B → “Ouput signal undergoes phase reversal”
Product Modulator
VDBS-SC (t) =
= Vm Cos ωmt . VC Cos ωCt
=
VmVc
𝟐
[Cos(ωC + ωm)t + Cos(ωC - ωm)t]
Note:
Frequency Spectrum of an DSB-SC wave:
BW=(fc+fm)−(fc −fm)
⇒BW=2fm
Power Relations in an DSB-SC wave
Note:
Carrier Power: PC=
Vc
2
(rms)
𝑅
Lower side bandUpper side band
VDSB-SC (t) =
VmVc
𝟐
Cos(ωC + ωm)t +
VmVc
𝟐
Cos(ωC - ωm)t
PC=
(Vc/√𝟐) 𝟐
𝑅
=
Vc
2
2𝑅
Power in the Sidebands:
PLSB= PUSB =
Vc
2
(rms)
𝑅
=
(maVc /2
√𝟐
) 𝟐
𝑅
=
ma
2Vc
2
𝟖𝑹
=
ma
2
𝟒
Vc
2
𝟐𝑹
=
ma
2
𝟒
PC
If the carrier is suppressed,then the total power transmitted in
DSB-SC AM wave is,
P'T= PLSB+ PUSB
=
ma
2
𝟒
Vc
2
2𝑅
+
ma
2
𝟒
Vc
2
2𝑅
=
ma
2
𝟒
Pc+
ma
2
𝟒
Pc
= Pc [ ma
2
𝟒
+
ma
2
𝟒
]
P'T = Pc[ma
2
𝟐 ]
Note: During transmission, the
carrier term is suppressed.
Power savings in DSB-SC wave is calculated as follows:
PDSB-SC =
PT −P′T
PT
=
Pc[ 𝟏+
ma
2
𝟐
] − Pc[ ma
2
𝟐
]
Pc[ 𝟏+
ma
2
𝟐
]
=
𝟏+
ma
2
𝟐
− ma
2
𝟐
𝟏+
ma
2
𝟐
=
𝟏
𝟏+
ma
2
𝟐
=
2
𝟐+ma
2
➢Therefore, the percentage of Power saving is given by,
=
2
𝟐+ma
2
x100
➢If modulation index , ma = 1,for 100% modulation, then the power
saving is given is calculated as, =
2
3
x 100 = 66.7 %
Important Formulae to Solve AM-DSB-SC problems
ma =
Vm
Vc
% modulation index, = max100
=(
Vm
Vc
)x100
BW = 2fm
PC=
Vc
2
2𝑅
PLSB= PUSB =
ma
2
𝟒
PC
P'T = Pc[ma
2
𝟐
]
The total power transmitted in DSB-SC AM wave, P'T = Pc[ma
2
𝟐 ]
VDSB-SC (t) =
VmVc
𝟐
Cos(ωC + ωm)t +
VmVc
𝟐
Cos(ωC - ωm)t
➢The percentage of Power saving is given as =
2
𝟐+ma
2
x100
• For an AM DSB-SC wave with a peak unmodulated
carrier voltage Vc = 10 V, a load resistor of RL = 10 ,
frequency of modulating signal of 10kHz and modulation
Co-efficient ma = 1, determine
a) Powers of the carrier and the upper and lower sidebands.
b) Total power of the modulated wave.
c) Bandwidth of the transmitted wave.
Given,
➢ carrier voltage Vc = 10 V,
➢ Load resistor of RL = 10 
➢ Modulating Signal fm = 10kHz
➢ Modulation Co-efficient ma = 1.
PC=
Vc
2
2𝑅
=
102
2 (10)
=
100
2 (10)
= 5𝑊
P'T = Pc[
ma
2
𝟐
] = 5[
12
𝟐
] =5[ 0.5 ] =5[ 0.5 ] = 2.5 W
(a)
(b)
(c) Bandwidth = 2fm = 2(10kHz) = 20 kHz
Power in Side bands, PLSB= PUSB =
ma
2
𝟒
PC =
12
𝟒
(5)= 1.25W
Observations:
➢ Double sideband with Suppressed carrier.
➢The sum and difference frequencies are present.
➢Only 66.7% of saving of power is achieved.
➢Power consumed by LSB and USB are same.
➢The same information is transmitted twice . One in USB and another in LSB.
Target:
➢ How to improve Power Saving?
Answer: Eliminate one side band (USB or LSB) in addition to carrier .
Hence,one side band is enough for transmission as well as
recovering the useful information.
VDBS-SC (t) =
VmVc
𝟐
[Cos(ωC + ωm)t + Cos(ωC - ωm)t]
DSB-SC AM wave is given by,
Single side band with Suppressed Carrier
DSB-SC
• A SSB modulated wave s(t) is generated using a carrier of frequency ωc and a sinusoidal
modulating wave of frequency ωm . The carrier amplitude is Ac and that of the
modulating wave is Am . Draw a block diagram of a system for generating SSB
modulated wave s′(t) . Define s′(t) assuming that (a) only the upper side-frequency is
transmitted. (b) the lower side-frequency is transmitted.
Am = Amplitude of message signal
Ac = Amplitude of carrier signal
Frequency Spectrum
BW=(fc+fm)−(fc )
⇒BW= fm
The Bandwidth of SSB-SC is fm ,
which is same as the bandwidth
of the message signal .
Total Power saved in SSB-SC is calculated as follows:
Power in SSB-SC is given by,
P'T= PUSB (or) PLSB
P'T =
ma
2
𝟒
Vc
2
2𝑅
=
ma
2
𝟒
Pc
PSSB-SC =
PT − P′T
PT
=
Pc[ 𝟏+
ma
2
𝟐
] − Pc[ ma
2
𝟒
]
Pc[ 𝟏+
ma
2
𝟐
]
=
𝟏+
ma
2
𝟐
− ma
2
𝟒
𝟏+
ma
2
𝟐
=
𝟏+
ma
2
𝟒
𝟏+
ma
2
𝟐
=
𝟒+ma
2
𝟐( 𝟐+ma
2)
=
𝟒+ma
2
𝟒+𝟐ma
2
➢If modulation index , ma = 1,for 100% modulation, then the power saving
is given is calculated as, =
5
6
x 100 = 83.33 %
Important Formulae to Solve AM-SSB-SC problems
ma =
Vm
Vc
% modulation index, = max100
=(
Vm
Vc
)x100
BW = fm
PC=
Vc
2
2𝑅
PLSB= PUSB =
ma
2
𝟒
PC
P'T = Pc[ma
2
𝟒
]
The total power transmitted in SSB-SC AM wave, P'T = Pc[
ma
2
𝟒
]
VSSB-SC (t) =
VmVc
𝟐
Cos(ωC + ωm)t OR
VmVc
𝟐
Cos(ωC - ωm)t
➢The percentage of Power saving is given as ==
𝟒+ma
2
𝟒+𝟐ma
2
x100
• For an AM SSB-SC wave with a peak unmodulated
carrier voltage Vc = 10 V, a load resistor of RL = 10 ,
frequency of modulating signal of 10kHz and modulation
Co-efficient ma = 1, determine
a) Powers of the carrier and the upper and lower sidebands.
b) Total power of the modulated wave.
c) Bandwidth of the transmitted wave.
Given,
➢ carrier voltage Vc = 10 V,
➢ Load resistor of RL = 10 
➢ Modulating Signal fm = 10kHz
➢ Modulation Co-efficient ma = 1.
PC=
Vc
2
2𝑅
=
102
2 (10)
=
100
2 (10)
= 5𝑊
P'T = Pc[
ma
2
𝟒
] = 5[
12
𝟒
] =5[ 0.25 ] = 1.25 W
(a)
(b)
(c) Bandwidth = fm = 10kHz
Power in Side band, PLSB or PUSB =
ma
2
𝟒
PC =
12
𝟒
(5)= 1.25W
Points to Discuss:
Advantage of the SSB-SC modulation:
➢ It reduces the bandwidth requirement to half as compared to
DSB-SC modulation.
Disadvantage :
➢SSB-SC are relatively difficult to generate due to the
difficulty in isolating the desired sideband (USB or LSB).
➢ The required filter must have a sharp cut-off characteristic,
particularly when the baseband signal contains extremely
low-frequencies ( Eg. Television and Telegraphic signals).
Can you identify the Power spectrum ?
(a) (b) (c)
(d) (a) DSB-FC
(b) DSB-SC
(c) SSB-SC
(d) Vestigial Side band
Vestigial Side Band
➢This difficulty in SSB-SC is overcomed by a scheme known as “Vestigial
Side Band” modulation.
➢It is a comprise between SSB-SC and DSB-SC modulation.
➢Instead of removing a side band, a trace or portion or vestige of that
sideband is transmitted along with other sideband is transmitted.
➢ ie., Vestige of LSB + most part of USB
or
Vestige of USB + most part of LSB
(d)
Vestigial Side Band
Vestigial Side Band
➢This difficulty in SSB-SC is overcomed by a scheme known as “Vestigial
Side Band” modulation,which is a comprise between SSB-SC and DSB-
SC modulation.
The VSB modulated wave in time domain is given by,
S(t) =
Vc
𝟐
𝒎 𝒕 .Cos(2πfC t) ±
Vc
𝟐
𝒎′ 𝒕 .Sin(2πfC t),
Where the plus sign corresponds to the transmission of
a vestige of the upper side band and minus sign
corresponds to the transmission of a vestige of the
Lower side band.
Problems to practice
(a)
(b)
Problems to practice
(c)
Problems to practice
ASSIGNMENT QUESTIONS
(a)
(b)
• Blooms Taxonomy
• Blooms Taxonomy
Next Topic Modulator and Demodulators
Communication Engineering class-5

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Communication Engineering class-5

  • 1. One gains ¼ of the knowledge from the Acharya (the teacher), ¼ from his own self-study and intellect, ¼ from his classmates and the remaining ¼ is gained as a person becomes matured as time passes.
  • 3. Instructions to all Participants ➢ Kindly mute Audio & turnoff Video while entering and till the session end. Don’t try to record Video. ➢ Get your pen, notebook and calculator along with you. ➢ https://www.slideshare.net/rmkrva/communication-engineering-class-1 ➢ https://www.slideshare.net/rmkrva/communication-engineering-class-2 ➢ https://www.slideshare.net/rmkrva/communication-engineering-class3. https://www.slideshare.net/rmkrva/communication-engineering-class-4 ➢ Subject clarifications will be given wherever necessary and during Q&A sessions also.
  • 4. How the classes would be: ➢ Discussion on concepts with Block diagram & Circuit diagram . ➢ Classes will be interactive with Brain storming activities, demo , quiz ,small derivations & calculations ➢ Interesting facts about Basic communication technology. ➢ Group activities off line /online, Assignments will be given.
  • 5. H O N O R B O A R D H O N O R B O A R D SASANK REDDY J POOJITH ITHA SIVARAM V VAMSI KRISHNA SAMPATH REDDY M NANDHINI S MOHAMED YAHYA R DHEERAJ KUMAR S V S ANISH MATHEW OOMMEN P PREETHI S KOLA BHAVANI SANKAR NIVETHITHA A S CHARAN KUMAR M V SOWMIYA E GOGINENI VENKATA NIKHIL REINITA THOMAS PRAVEEN KUMAR.S SWATHI N SHAMITHA R V VISHAL G BRINDHA C KAVANURU JAGAN CHILAKA DEVI SRI PRASAD SOWNDARYA S APPASAMUDRAM NAGAPRATHIBHA DHEERAJ H POOJITHA K SOMU SAMPATH KUMAR REDDY KIRUTHIKA K MANJU PARKAVI G ZUHAYR A PREETHI D KESHAV S HARINI G ABBURI VAMSI KRISHNA HARITHA S VIDHYAVARSHINI D JALADI VINEETH SANDIREDDY BHAVANA VUNNAM MAHITHA SANDEEP KUMAR K V APARNA T SANGARAJU DHARANI DIVYA RANI R KARTHIK BALAJI R CHINNI SAI ABHIJITH PRIYADHARSHINI E M KRISHNA KUMAR K GOKUL RAJ K SHAKTHI A S RAMAIAHGARI CHENGANNA BHANUSREE SOWMYA V PRAJNA A KEERTHIPATI VYSHNAVI MADHAV K SAI SIDDHARDHA NARISETTY JAISNAVI D NOTI PARAMESWARI YASHWANTH N MUPPALA MONA SREE KOTA RAGHAVA JAYA SAIRAKESH RAGAVI V S NIRANJAN JP MONIKA M HARSHINI S LANKAMSETTY PREMDEEP NANDHINI R JAISREE K G BALIREDDY BHANUSREE KAVIN RAJ R S BALAKRISHNA GAGANSAI MANDADI SRIHITHA
  • 6. EC8395-COMMUNICATION ENGINEERING 1 ANALOG MODULATION 2 PULSE MODULATION 3 DIGITAL MODULATION AND TRANSMISSION 4 INFORMATION THEORY AND CODING 5 SPREAD SPECTRUM AND MULTIPLE ACCESS
  • 8.
  • 9. 5 • Single sideband with suppressed carrier. • Frequency Spectrum – To understand about Bandwidth. • Power Relations • Efficiency – Power saving • Summary 4 3 2 1 SESSION TOPICS
  • 10. Important Formulae to Solve AM-DSB-FC problems ma = Vm Vc % modulation index, = max100 =( Vm Vc )x100 Vmax = Vc+ Vm Vmin = Vc - Vm ma = (Vmax − Vmin) (Vmax+Vmin ) BW = 2fm BW = f2 - f1 PC= Vc 2 2𝑅 PLSB= PUSB = ma 2 𝟒 PC PT= PC +PLSB+ PUSB PT = Pc[ 1 + ma 2 𝟐 ] VAM (t) = Vc [1+ maCos 2πfmt] Cos 2πfCt VAM (t) = Vc Cos ωC t + maVc 𝟐 Cos(ωC + ωm)t + maVc 𝟐 Cos(ωC - ωm)t ➢ AM Double sideband with FULL carrier.
  • 11.
  • 12.
  • 13.
  • 14. • For an AM DSBFC wave with a peak unmodulated carrier voltage Vc = 10 V, a load resistor of RL = 10  and modulation Co-efficient ma = 1, determine a) Powers of the carrier and the upper and lower sidebands. b) Total sideband power. c) Total power of the modulated wave. d) Draw the power spectrum.
  • 15. Given, ➢ carrier voltage Vc = 10 V, ➢ Load resistor of RL = 10  ➢ Modulation Co-efficient ma = 1. PC= Vc 2 2𝑅 = 102 2 (10) = 100 2 (10) = 5𝑊 PLSB= PUSB = ma 2 𝟒 PC = 12 𝟒 (5)= 1.25W PT = Pc[ 1 + ma 2 𝟐 ] = 5[ 1 + 12 𝟐 ] =5[ 1 + 0.5 ] =5[ 1.5 ] = 7.5 W Total Side band Power =PLSB+ PUSB = 1.25 W+ 1.25 W = 2.5 W (a) (b) (c)
  • 16. Power spectrum fc fLSB 1.25 W fUSB 5W 1.25 W Frequency (Hz) Power (W) (d)
  • 17. Observations: ➢ AM Double sideband with FULL carrier. ➢The sum and difference frequencies are present. ➢Only 33.3% efficiency is achieved. Because, two-thirds of the power is being wasted in the carrier, which carries no information. ➢Power consumed by LSB and USB are same. ➢Duplication of Amplitude occur in LSB or USB Target: ➢ How to improve efficiency? Answer: To overcome the drawback, unmodulated carrier term can be eliminated. VAM (t) = Vc Cos ωC t + maVc 𝟐 Cos(ωC + ωm)t + maVc 𝟐 Cos(ωC - ωm)t
  • 18. Double sideband Suppressed carrier A B A→ “message signal crosses Zero” B → “Ouput signal undergoes phase reversal” Product Modulator
  • 19. VDBS-SC (t) = = Vm Cos ωmt . VC Cos ωCt = VmVc 𝟐 [Cos(ωC + ωm)t + Cos(ωC - ωm)t] Note: Frequency Spectrum of an DSB-SC wave: BW=(fc+fm)−(fc −fm) ⇒BW=2fm
  • 20. Power Relations in an DSB-SC wave Note: Carrier Power: PC= Vc 2 (rms) 𝑅 Lower side bandUpper side band VDSB-SC (t) = VmVc 𝟐 Cos(ωC + ωm)t + VmVc 𝟐 Cos(ωC - ωm)t PC= (Vc/√𝟐) 𝟐 𝑅 = Vc 2 2𝑅 Power in the Sidebands: PLSB= PUSB = Vc 2 (rms) 𝑅 = (maVc /2 √𝟐 ) 𝟐 𝑅 = ma 2Vc 2 𝟖𝑹 = ma 2 𝟒 Vc 2 𝟐𝑹 = ma 2 𝟒 PC
  • 21. If the carrier is suppressed,then the total power transmitted in DSB-SC AM wave is, P'T= PLSB+ PUSB = ma 2 𝟒 Vc 2 2𝑅 + ma 2 𝟒 Vc 2 2𝑅 = ma 2 𝟒 Pc+ ma 2 𝟒 Pc = Pc [ ma 2 𝟒 + ma 2 𝟒 ] P'T = Pc[ma 2 𝟐 ] Note: During transmission, the carrier term is suppressed.
  • 22. Power savings in DSB-SC wave is calculated as follows: PDSB-SC = PT −P′T PT = Pc[ 𝟏+ ma 2 𝟐 ] − Pc[ ma 2 𝟐 ] Pc[ 𝟏+ ma 2 𝟐 ] = 𝟏+ ma 2 𝟐 − ma 2 𝟐 𝟏+ ma 2 𝟐 = 𝟏 𝟏+ ma 2 𝟐 = 2 𝟐+ma 2 ➢Therefore, the percentage of Power saving is given by, = 2 𝟐+ma 2 x100 ➢If modulation index , ma = 1,for 100% modulation, then the power saving is given is calculated as, = 2 3 x 100 = 66.7 %
  • 23. Important Formulae to Solve AM-DSB-SC problems ma = Vm Vc % modulation index, = max100 =( Vm Vc )x100 BW = 2fm PC= Vc 2 2𝑅 PLSB= PUSB = ma 2 𝟒 PC P'T = Pc[ma 2 𝟐 ] The total power transmitted in DSB-SC AM wave, P'T = Pc[ma 2 𝟐 ] VDSB-SC (t) = VmVc 𝟐 Cos(ωC + ωm)t + VmVc 𝟐 Cos(ωC - ωm)t ➢The percentage of Power saving is given as = 2 𝟐+ma 2 x100
  • 24. • For an AM DSB-SC wave with a peak unmodulated carrier voltage Vc = 10 V, a load resistor of RL = 10 , frequency of modulating signal of 10kHz and modulation Co-efficient ma = 1, determine a) Powers of the carrier and the upper and lower sidebands. b) Total power of the modulated wave. c) Bandwidth of the transmitted wave.
  • 25. Given, ➢ carrier voltage Vc = 10 V, ➢ Load resistor of RL = 10  ➢ Modulating Signal fm = 10kHz ➢ Modulation Co-efficient ma = 1. PC= Vc 2 2𝑅 = 102 2 (10) = 100 2 (10) = 5𝑊 P'T = Pc[ ma 2 𝟐 ] = 5[ 12 𝟐 ] =5[ 0.5 ] =5[ 0.5 ] = 2.5 W (a) (b) (c) Bandwidth = 2fm = 2(10kHz) = 20 kHz Power in Side bands, PLSB= PUSB = ma 2 𝟒 PC = 12 𝟒 (5)= 1.25W
  • 26. Observations: ➢ Double sideband with Suppressed carrier. ➢The sum and difference frequencies are present. ➢Only 66.7% of saving of power is achieved. ➢Power consumed by LSB and USB are same. ➢The same information is transmitted twice . One in USB and another in LSB. Target: ➢ How to improve Power Saving? Answer: Eliminate one side band (USB or LSB) in addition to carrier . Hence,one side band is enough for transmission as well as recovering the useful information. VDBS-SC (t) = VmVc 𝟐 [Cos(ωC + ωm)t + Cos(ωC - ωm)t] DSB-SC AM wave is given by,
  • 27. Single side band with Suppressed Carrier DSB-SC
  • 28. • A SSB modulated wave s(t) is generated using a carrier of frequency ωc and a sinusoidal modulating wave of frequency ωm . The carrier amplitude is Ac and that of the modulating wave is Am . Draw a block diagram of a system for generating SSB modulated wave s′(t) . Define s′(t) assuming that (a) only the upper side-frequency is transmitted. (b) the lower side-frequency is transmitted.
  • 29. Am = Amplitude of message signal Ac = Amplitude of carrier signal
  • 30. Frequency Spectrum BW=(fc+fm)−(fc ) ⇒BW= fm The Bandwidth of SSB-SC is fm , which is same as the bandwidth of the message signal .
  • 31. Total Power saved in SSB-SC is calculated as follows: Power in SSB-SC is given by, P'T= PUSB (or) PLSB P'T = ma 2 𝟒 Vc 2 2𝑅 = ma 2 𝟒 Pc PSSB-SC = PT − P′T PT = Pc[ 𝟏+ ma 2 𝟐 ] − Pc[ ma 2 𝟒 ] Pc[ 𝟏+ ma 2 𝟐 ] = 𝟏+ ma 2 𝟐 − ma 2 𝟒 𝟏+ ma 2 𝟐 = 𝟏+ ma 2 𝟒 𝟏+ ma 2 𝟐 = 𝟒+ma 2 𝟐( 𝟐+ma 2) = 𝟒+ma 2 𝟒+𝟐ma 2 ➢If modulation index , ma = 1,for 100% modulation, then the power saving is given is calculated as, = 5 6 x 100 = 83.33 %
  • 32. Important Formulae to Solve AM-SSB-SC problems ma = Vm Vc % modulation index, = max100 =( Vm Vc )x100 BW = fm PC= Vc 2 2𝑅 PLSB= PUSB = ma 2 𝟒 PC P'T = Pc[ma 2 𝟒 ] The total power transmitted in SSB-SC AM wave, P'T = Pc[ ma 2 𝟒 ] VSSB-SC (t) = VmVc 𝟐 Cos(ωC + ωm)t OR VmVc 𝟐 Cos(ωC - ωm)t ➢The percentage of Power saving is given as == 𝟒+ma 2 𝟒+𝟐ma 2 x100
  • 33. • For an AM SSB-SC wave with a peak unmodulated carrier voltage Vc = 10 V, a load resistor of RL = 10 , frequency of modulating signal of 10kHz and modulation Co-efficient ma = 1, determine a) Powers of the carrier and the upper and lower sidebands. b) Total power of the modulated wave. c) Bandwidth of the transmitted wave.
  • 34. Given, ➢ carrier voltage Vc = 10 V, ➢ Load resistor of RL = 10  ➢ Modulating Signal fm = 10kHz ➢ Modulation Co-efficient ma = 1. PC= Vc 2 2𝑅 = 102 2 (10) = 100 2 (10) = 5𝑊 P'T = Pc[ ma 2 𝟒 ] = 5[ 12 𝟒 ] =5[ 0.25 ] = 1.25 W (a) (b) (c) Bandwidth = fm = 10kHz Power in Side band, PLSB or PUSB = ma 2 𝟒 PC = 12 𝟒 (5)= 1.25W
  • 35. Points to Discuss: Advantage of the SSB-SC modulation: ➢ It reduces the bandwidth requirement to half as compared to DSB-SC modulation. Disadvantage : ➢SSB-SC are relatively difficult to generate due to the difficulty in isolating the desired sideband (USB or LSB). ➢ The required filter must have a sharp cut-off characteristic, particularly when the baseband signal contains extremely low-frequencies ( Eg. Television and Telegraphic signals).
  • 36. Can you identify the Power spectrum ? (a) (b) (c) (d) (a) DSB-FC (b) DSB-SC (c) SSB-SC (d) Vestigial Side band
  • 37. Vestigial Side Band ➢This difficulty in SSB-SC is overcomed by a scheme known as “Vestigial Side Band” modulation. ➢It is a comprise between SSB-SC and DSB-SC modulation. ➢Instead of removing a side band, a trace or portion or vestige of that sideband is transmitted along with other sideband is transmitted. ➢ ie., Vestige of LSB + most part of USB or Vestige of USB + most part of LSB (d)
  • 39. Vestigial Side Band ➢This difficulty in SSB-SC is overcomed by a scheme known as “Vestigial Side Band” modulation,which is a comprise between SSB-SC and DSB- SC modulation. The VSB modulated wave in time domain is given by, S(t) = Vc 𝟐 𝒎 𝒕 .Cos(2πfC t) ± Vc 𝟐 𝒎′ 𝒕 .Sin(2πfC t), Where the plus sign corresponds to the transmission of a vestige of the upper side band and minus sign corresponds to the transmission of a vestige of the Lower side band.
  • 44. • Blooms Taxonomy • Blooms Taxonomy
  • 45. Next Topic Modulator and Demodulators