SlideShare a Scribd company logo
1 of 26
Download to read offline
AM and FM MODULATION
Lecture 5&6
Ir. Muhamad Asvial, MEng., PhD
Center for Information and Communication Engineering Research
Electrical Engineering Department – University of Indonesia
Kampus UI Depok, 16424 – Indonesia
asvial@ee.ui.ac.id
http://www.ee.ui.ac.id
Fundamental design in Communication System
Fundamental design in Communication System
Modulation
Modulation
 Modulation
 A process that causes a shift in the range of frequencies of a signal.
 Gain advantages
 Antenna size: half of the antenna size. Thousands of miles for baseband
 Better usage of limited bandwidth: less side lopes
 Trade bandwidth for SNR: CDMA
 Robust to inter-symbol-interference (multipath delay)
 Robust to errors and distortions
 Types
 Analog: AM (DSB, SSB, VSB), FM, Delta modulation
 Digital: ASK, FSK, PSK, QAM, …
 Pulse modulation: PCM, PDM, … Fiber, phone
 Advanced: CDMA (3G), OFDM (WLAN, WMAN), ….
Modulation
Modulation
Principle of Modulation
Principle of Modulation
Principle of Modulation
Principle of Modulation
Application
Application
Basic Type of Modulation
Basic Type of Modulation
AM Signal
AM Signal
DSB
DSB-
-SC
SC

t

t

t
)
t
(
m

)
t
(


)
(
M 



0
)
(




0 c

c


Upper sideband (USB)
Lower sideband (LSB)
)
t
(

)
t
cos( c

)}
t
cos( c
F{ 

0 c




QAM
QAM
 AM signal BANDWIDTH : AM signal bandwidth is twice the bandwidth
of the modulating signal. A 5kHz signal requires 10kHz bandwidth for AM
transmission. If the carrier frequency is 1000 kHz, the AM signal spectrum
is in the frequency range of 995kHz to 1005 kHz.
 QUADRARTURE AMPLITUDE MODULATION is a scheme that allows
two signals to be transmitted over the same frequency range.
 Equations
 Coherent in frequency
and phase. Expensive
 TV for analog
 Most modems
SSB Frequency
SSB Frequency
)
(
M 
0 B
2
B
2

c

c


SSB (Upper sideband)






0
0
c

c


)
(
SSB 

baseband
DSB
SSB
SSB Generator
SSB Generator
• Selective Filtering using filters with sharp cutoff characteristics. Sharp cutoff
filters are difficult to design. The audio signal spectrum has no dc
component, therefore , the spectrum of the modulated audio signal has a null
around the carrier frequency. This means a less than perfect filter can do a
reasonably good job of filtering the DSB to produce SSB signals.
• Baseband signal must be bandpass
• Filter design challenges
• No low frequency components
c

c

 

0
c

c

 

0
Single Sideband (SSB)
Single Sideband (SSB)
• Purpose : to reduce the bandwidth requirement of AM by one-half. This is
achieved by transmitting only the upper sideband or the lower sidebband of
the DSB AM signal.
SSB vs. AM
SSB vs. AM
• Since the carrier is not transmitted, there is a reduction by
67% of the transmitted power (-4.7dBm). --In AM @100%
modulation: 2/3 of the power is comprised of the carrier; with
the remaining (1/3) power in both sidebands.
• Because in SSB, only one sideband is transmitted, there is a
further reduction by 50% in transmitted power
• Finally, because only one sideband is received, the receiver's
needed bandwidth is reduced by one half--thus effectively
reducing the required power by the transmitter another 50%
• (-4.7dBm (+) -3dBm (+) -3dBm = -10.7dBm).
• Relative expensive receiver
Vestigial Sideband (VSB)
Vestigial Sideband (VSB)
• VSB is a compromise between DSB and SSB. To produce SSB signal from
DSB signal ideal filters should be used to split the spectrum in the middle so
that the bandwidth of bandpass signal is reduced by one half. In VSB system
one sideband and a vestige of other sideband are transmitted together. The
resulting signal has a bandwidth > the bandwidth of the modulating
(baseband) signal but < the DSB signal bandwidth.
c

c


SSB (Upper sideband)




0
0
c

c


)
(
SSB 

VSB Spectrum


c


)
(
VSB 

c

DSB
c

c


SSB (Upper sideband)




0
0
c

c


)
(
SSB 

VSB Spectrum


c


)
(
VSB 

c

DSB
AM Broadcasting
AM Broadcasting
• Frequency
– Long wave: 153-270kHz
– Medium wave: 520-1,710kHz, AM radio
– Short wave: 2,300-26,100kHz, long distance,
SSB
• Limitation
– Susceptibility to atmospheric interference
– Lower-fidelity sound, news and talk radio
– Better at night, ionosphere.
Superheterodyne
Superheterodyne
• Move all frequencies of different channels to one medium freq.
– In AM receivers, that frequency is 455 kHz,
– for FM receivers, it is usually 10.7 MHz.
– Filter Design Concern
– Accommodate more radio stations
– Edwin Howard Armstrong
Bandwidth
Bandwidth
VSB and QAM
Frequency Modulation
Frequency Modulation
Frequency Modulation
Frequency Modulation
Frequency Modulation
Frequency Modulation
Frequency Error by Phase Noise
Frequency Error by Phase Noise
• Simplified S/N Analysis
– Signal frequency: 1 kHz
– Signal amplitude, ES: 10
– Frequency deviation: 5 kHz
– Noise amplitude, EN: 1
• (S/N)P: 20 dB
• Maximum angle deviation: 0.1 rad
• Noise modulation index, mN: 0.1
– Frequency error caused by noise
• 1 kHz x 0.1 = 100 Hz
– (S/N)F: 5 kHz/100 Hz = 50; 34 dB in power
FM Radio
FM Radio
FM Spectrum
FM Spectrum
Demodulation
Demodulation

More Related Content

Similar to httpsstaff.ui.ac.idsystemfilesusersir.muhammadmaterialsistel56.pdf.pdf

Single-Sideband Modulation.pptx
Single-Sideband Modulation.pptxSingle-Sideband Modulation.pptx
Single-Sideband Modulation.pptxapplejoytamayo1
 
Rectangularmicrostrippatchantenna
RectangularmicrostrippatchantennaRectangularmicrostrippatchantenna
RectangularmicrostrippatchantennaAbhimanyu Sharma
 
Data encoding and modulation
Data encoding and modulationData encoding and modulation
Data encoding and modulationShankar Gangaju
 
Introduction to Communication Systems 3
Introduction to Communication Systems 3Introduction to Communication Systems 3
Introduction to Communication Systems 3slmnsvn
 
Digital transmission systems
Digital transmission systemsDigital transmission systems
Digital transmission systemsCKSunith1
 
Comparison of modulation methods
Comparison of modulation methodsComparison of modulation methods
Comparison of modulation methodsDeepak Kumar
 
2109986 635316076040095000
2109986 6353160760400950002109986 635316076040095000
2109986 635316076040095000srilaxmi524
 
Beamforming in 5G, MU-MIMO, 5G Antenna arrey
Beamforming in 5G, MU-MIMO, 5G Antenna arreyBeamforming in 5G, MU-MIMO, 5G Antenna arrey
Beamforming in 5G, MU-MIMO, 5G Antenna arreybakshirahulgsm
 
Amplitude Modulation.pptx
Amplitude Modulation.pptxAmplitude Modulation.pptx
Amplitude Modulation.pptxGunjitSetia1
 
Communication Theory-1 Project || Single Side Band Modulation using Filtering...
Communication Theory-1 Project || Single Side Band Modulation using Filtering...Communication Theory-1 Project || Single Side Band Modulation using Filtering...
Communication Theory-1 Project || Single Side Band Modulation using Filtering...rameshreddybattini
 
Rf receiver design case studies
Rf receiver design case studiesRf receiver design case studies
Rf receiver design case studiesPhani Kumar
 

Similar to httpsstaff.ui.ac.idsystemfilesusersir.muhammadmaterialsistel56.pdf.pdf (20)

CS_lec5.ppt
CS_lec5.pptCS_lec5.ppt
CS_lec5.ppt
 
311 linear modulation
311 linear modulation311 linear modulation
311 linear modulation
 
Single-Sideband Modulation.pptx
Single-Sideband Modulation.pptxSingle-Sideband Modulation.pptx
Single-Sideband Modulation.pptx
 
Amplitude modulated-systmes
Amplitude modulated-systmesAmplitude modulated-systmes
Amplitude modulated-systmes
 
Rectangularmicrostrippatchantenna
RectangularmicrostrippatchantennaRectangularmicrostrippatchantenna
Rectangularmicrostrippatchantenna
 
Data encoding and modulation
Data encoding and modulationData encoding and modulation
Data encoding and modulation
 
ICRCWIP2014
ICRCWIP2014ICRCWIP2014
ICRCWIP2014
 
2
22
2
 
Introduction to Communication Systems 3
Introduction to Communication Systems 3Introduction to Communication Systems 3
Introduction to Communication Systems 3
 
Bandwidth optimization
Bandwidth optimizationBandwidth optimization
Bandwidth optimization
 
Digital transmission systems
Digital transmission systemsDigital transmission systems
Digital transmission systems
 
Radio network overview
Radio network overviewRadio network overview
Radio network overview
 
Comparison of modulation methods
Comparison of modulation methodsComparison of modulation methods
Comparison of modulation methods
 
2109986 635316076040095000
2109986 6353160760400950002109986 635316076040095000
2109986 635316076040095000
 
Beamforming in 5G, MU-MIMO, 5G Antenna arrey
Beamforming in 5G, MU-MIMO, 5G Antenna arreyBeamforming in 5G, MU-MIMO, 5G Antenna arrey
Beamforming in 5G, MU-MIMO, 5G Antenna arrey
 
Amplitude Modulation.pptx
Amplitude Modulation.pptxAmplitude Modulation.pptx
Amplitude Modulation.pptx
 
Communication Theory-1 Project || Single Side Band Modulation using Filtering...
Communication Theory-1 Project || Single Side Band Modulation using Filtering...Communication Theory-1 Project || Single Side Band Modulation using Filtering...
Communication Theory-1 Project || Single Side Band Modulation using Filtering...
 
Rf receiver design case studies
Rf receiver design case studiesRf receiver design case studies
Rf receiver design case studies
 
1 unit
1 unit1 unit
1 unit
 
Ju_9_ROF.pptx
Ju_9_ROF.pptxJu_9_ROF.pptx
Ju_9_ROF.pptx
 

Recently uploaded

Circuit Breakers for Engineering Students
Circuit Breakers for Engineering StudentsCircuit Breakers for Engineering Students
Circuit Breakers for Engineering Studentskannan348865
 
Dynamo Scripts for Task IDs and Space Naming.pptx
Dynamo Scripts for Task IDs and Space Naming.pptxDynamo Scripts for Task IDs and Space Naming.pptx
Dynamo Scripts for Task IDs and Space Naming.pptxMustafa Ahmed
 
Intro to Design (for Engineers) at Sydney Uni
Intro to Design (for Engineers) at Sydney UniIntro to Design (for Engineers) at Sydney Uni
Intro to Design (for Engineers) at Sydney UniR. Sosa
 
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...Amil baba
 
History of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & ModernizationHistory of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & ModernizationEmaan Sharma
 
Working Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdfWorking Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdfSkNahidulIslamShrabo
 
Software Engineering Practical File Front Pages.pdf
Software Engineering Practical File Front Pages.pdfSoftware Engineering Practical File Front Pages.pdf
Software Engineering Practical File Front Pages.pdfssuser5c9d4b1
 
UNIT 4 PTRP final Convergence in probability.pptx
UNIT 4 PTRP final Convergence in probability.pptxUNIT 4 PTRP final Convergence in probability.pptx
UNIT 4 PTRP final Convergence in probability.pptxkalpana413121
 
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdfInstruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdfEr.Sonali Nasikkar
 
Basics of Relay for Engineering Students
Basics of Relay for Engineering StudentsBasics of Relay for Engineering Students
Basics of Relay for Engineering Studentskannan348865
 
5G and 6G refer to generations of mobile network technology, each representin...
5G and 6G refer to generations of mobile network technology, each representin...5G and 6G refer to generations of mobile network technology, each representin...
5G and 6G refer to generations of mobile network technology, each representin...archanaece3
 
Final DBMS Manual (2).pdf final lab manual
Final DBMS Manual (2).pdf final lab manualFinal DBMS Manual (2).pdf final lab manual
Final DBMS Manual (2).pdf final lab manualBalamuruganV28
 
Research Methodolgy & Intellectual Property Rights Series 1
Research Methodolgy & Intellectual Property Rights Series 1Research Methodolgy & Intellectual Property Rights Series 1
Research Methodolgy & Intellectual Property Rights Series 1T.D. Shashikala
 
Raashid final report on Embedded Systems
Raashid final report on Embedded SystemsRaashid final report on Embedded Systems
Raashid final report on Embedded SystemsRaashidFaiyazSheikh
 
handbook on reinforce concrete and detailing
handbook on reinforce concrete and detailinghandbook on reinforce concrete and detailing
handbook on reinforce concrete and detailingAshishSingh1301
 
Artificial Intelligence in due diligence
Artificial Intelligence in due diligenceArtificial Intelligence in due diligence
Artificial Intelligence in due diligencemahaffeycheryld
 
Worksharing and 3D Modeling with Revit.pptx
Worksharing and 3D Modeling with Revit.pptxWorksharing and 3D Modeling with Revit.pptx
Worksharing and 3D Modeling with Revit.pptxMustafa Ahmed
 
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdflitvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdfAlexander Litvinenko
 
Autodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptxAutodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptxMustafa Ahmed
 
Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...IJECEIAES
 

Recently uploaded (20)

Circuit Breakers for Engineering Students
Circuit Breakers for Engineering StudentsCircuit Breakers for Engineering Students
Circuit Breakers for Engineering Students
 
Dynamo Scripts for Task IDs and Space Naming.pptx
Dynamo Scripts for Task IDs and Space Naming.pptxDynamo Scripts for Task IDs and Space Naming.pptx
Dynamo Scripts for Task IDs and Space Naming.pptx
 
Intro to Design (for Engineers) at Sydney Uni
Intro to Design (for Engineers) at Sydney UniIntro to Design (for Engineers) at Sydney Uni
Intro to Design (for Engineers) at Sydney Uni
 
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...
NO1 Best Powerful Vashikaran Specialist Baba Vashikaran Specialist For Love V...
 
History of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & ModernizationHistory of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & Modernization
 
Working Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdfWorking Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdf
 
Software Engineering Practical File Front Pages.pdf
Software Engineering Practical File Front Pages.pdfSoftware Engineering Practical File Front Pages.pdf
Software Engineering Practical File Front Pages.pdf
 
UNIT 4 PTRP final Convergence in probability.pptx
UNIT 4 PTRP final Convergence in probability.pptxUNIT 4 PTRP final Convergence in probability.pptx
UNIT 4 PTRP final Convergence in probability.pptx
 
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdfInstruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
 
Basics of Relay for Engineering Students
Basics of Relay for Engineering StudentsBasics of Relay for Engineering Students
Basics of Relay for Engineering Students
 
5G and 6G refer to generations of mobile network technology, each representin...
5G and 6G refer to generations of mobile network technology, each representin...5G and 6G refer to generations of mobile network technology, each representin...
5G and 6G refer to generations of mobile network technology, each representin...
 
Final DBMS Manual (2).pdf final lab manual
Final DBMS Manual (2).pdf final lab manualFinal DBMS Manual (2).pdf final lab manual
Final DBMS Manual (2).pdf final lab manual
 
Research Methodolgy & Intellectual Property Rights Series 1
Research Methodolgy & Intellectual Property Rights Series 1Research Methodolgy & Intellectual Property Rights Series 1
Research Methodolgy & Intellectual Property Rights Series 1
 
Raashid final report on Embedded Systems
Raashid final report on Embedded SystemsRaashid final report on Embedded Systems
Raashid final report on Embedded Systems
 
handbook on reinforce concrete and detailing
handbook on reinforce concrete and detailinghandbook on reinforce concrete and detailing
handbook on reinforce concrete and detailing
 
Artificial Intelligence in due diligence
Artificial Intelligence in due diligenceArtificial Intelligence in due diligence
Artificial Intelligence in due diligence
 
Worksharing and 3D Modeling with Revit.pptx
Worksharing and 3D Modeling with Revit.pptxWorksharing and 3D Modeling with Revit.pptx
Worksharing and 3D Modeling with Revit.pptx
 
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdflitvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
 
Autodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptxAutodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptx
 
Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...
 

httpsstaff.ui.ac.idsystemfilesusersir.muhammadmaterialsistel56.pdf.pdf

  • 1. AM and FM MODULATION Lecture 5&6 Ir. Muhamad Asvial, MEng., PhD Center for Information and Communication Engineering Research Electrical Engineering Department – University of Indonesia Kampus UI Depok, 16424 – Indonesia asvial@ee.ui.ac.id http://www.ee.ui.ac.id
  • 2. Fundamental design in Communication System Fundamental design in Communication System
  • 3. Modulation Modulation  Modulation  A process that causes a shift in the range of frequencies of a signal.  Gain advantages  Antenna size: half of the antenna size. Thousands of miles for baseband  Better usage of limited bandwidth: less side lopes  Trade bandwidth for SNR: CDMA  Robust to inter-symbol-interference (multipath delay)  Robust to errors and distortions  Types  Analog: AM (DSB, SSB, VSB), FM, Delta modulation  Digital: ASK, FSK, PSK, QAM, …  Pulse modulation: PCM, PDM, … Fiber, phone  Advanced: CDMA (3G), OFDM (WLAN, WMAN), ….
  • 8. Basic Type of Modulation Basic Type of Modulation
  • 10. DSB DSB- -SC SC  t  t  t ) t ( m  ) t (   ) ( M     0 ) (     0 c  c   Upper sideband (USB) Lower sideband (LSB) ) t (  ) t cos( c  )} t cos( c F{   0 c    
  • 11. QAM QAM  AM signal BANDWIDTH : AM signal bandwidth is twice the bandwidth of the modulating signal. A 5kHz signal requires 10kHz bandwidth for AM transmission. If the carrier frequency is 1000 kHz, the AM signal spectrum is in the frequency range of 995kHz to 1005 kHz.  QUADRARTURE AMPLITUDE MODULATION is a scheme that allows two signals to be transmitted over the same frequency range.  Equations  Coherent in frequency and phase. Expensive  TV for analog  Most modems
  • 12. SSB Frequency SSB Frequency ) ( M  0 B 2 B 2  c  c   SSB (Upper sideband)       0 0 c  c   ) ( SSB   baseband DSB SSB
  • 13. SSB Generator SSB Generator • Selective Filtering using filters with sharp cutoff characteristics. Sharp cutoff filters are difficult to design. The audio signal spectrum has no dc component, therefore , the spectrum of the modulated audio signal has a null around the carrier frequency. This means a less than perfect filter can do a reasonably good job of filtering the DSB to produce SSB signals. • Baseband signal must be bandpass • Filter design challenges • No low frequency components c  c     0 c  c     0
  • 14. Single Sideband (SSB) Single Sideband (SSB) • Purpose : to reduce the bandwidth requirement of AM by one-half. This is achieved by transmitting only the upper sideband or the lower sidebband of the DSB AM signal.
  • 15. SSB vs. AM SSB vs. AM • Since the carrier is not transmitted, there is a reduction by 67% of the transmitted power (-4.7dBm). --In AM @100% modulation: 2/3 of the power is comprised of the carrier; with the remaining (1/3) power in both sidebands. • Because in SSB, only one sideband is transmitted, there is a further reduction by 50% in transmitted power • Finally, because only one sideband is received, the receiver's needed bandwidth is reduced by one half--thus effectively reducing the required power by the transmitter another 50% • (-4.7dBm (+) -3dBm (+) -3dBm = -10.7dBm). • Relative expensive receiver
  • 16. Vestigial Sideband (VSB) Vestigial Sideband (VSB) • VSB is a compromise between DSB and SSB. To produce SSB signal from DSB signal ideal filters should be used to split the spectrum in the middle so that the bandwidth of bandpass signal is reduced by one half. In VSB system one sideband and a vestige of other sideband are transmitted together. The resulting signal has a bandwidth > the bandwidth of the modulating (baseband) signal but < the DSB signal bandwidth. c  c   SSB (Upper sideband)     0 0 c  c   ) ( SSB   VSB Spectrum   c   ) ( VSB   c  DSB c  c   SSB (Upper sideband)     0 0 c  c   ) ( SSB   VSB Spectrum   c   ) ( VSB   c  DSB
  • 17. AM Broadcasting AM Broadcasting • Frequency – Long wave: 153-270kHz – Medium wave: 520-1,710kHz, AM radio – Short wave: 2,300-26,100kHz, long distance, SSB • Limitation – Susceptibility to atmospheric interference – Lower-fidelity sound, news and talk radio – Better at night, ionosphere.
  • 18. Superheterodyne Superheterodyne • Move all frequencies of different channels to one medium freq. – In AM receivers, that frequency is 455 kHz, – for FM receivers, it is usually 10.7 MHz. – Filter Design Concern – Accommodate more radio stations – Edwin Howard Armstrong
  • 23. Frequency Error by Phase Noise Frequency Error by Phase Noise • Simplified S/N Analysis – Signal frequency: 1 kHz – Signal amplitude, ES: 10 – Frequency deviation: 5 kHz – Noise amplitude, EN: 1 • (S/N)P: 20 dB • Maximum angle deviation: 0.1 rad • Noise modulation index, mN: 0.1 – Frequency error caused by noise • 1 kHz x 0.1 = 100 Hz – (S/N)F: 5 kHz/100 Hz = 50; 34 dB in power