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QUDRATURE AMPLITUDE MODULATION
PONDICHERRY UNIVERSITY
Department of Electronics Engineering
By
NAGUBOINA GOPI CHAND
BAND PASS
TRANSMISSION
BINARY
SIGNALLING
ASK
FSK
PSK
M.ARRY
SIGNALLING
QPSK
8PSK
16PSK
QAM
Amplitude Shift Keying ASK
Frequency Shift Keying FSK
Phase Shift Keying
Sending Multiple Bits Simultaneously
The above techniques are modified to send more than one bit at
a time.
For example:
Two bits on single wave can be send by defining four
amplitudes, three bits with eight amplitudes and so on.
 This is applicable to other techniques like Frequency
modulation and Phase modulation.
Sending Multiple Bits Simultaneously
Why QAM?
Draw backs of ASK,PSK,FSK:
 In practice, the maximum number of bits that can be sent with any one of these techniques
is five bits.
 Also the bandwidth required to transmit more bits is more in these ( ASK,PSK,FSK)
techniques.
In order to meet these kind of limitations we need to have technique that combines the
merits of above techniques.
Here comes the QAM
QUADRATURE AMPLITUDE MODULATION
• It’s a combination of ASK and PSK.
• An extension of QPSK (logically).
• It is both an analog and digital modulation scheme.
• It is a technique in which information is conveyed in both amplitude and phase of the
carrier signal.
• This technique combines two carriers whose amplitudes are modulated independently
with same frequency and phases are shifted by 90º w.r.t each other.
• These carriers are called
a.) In-phase carriers
b.) Quadrature carriers
INCREASES BANDWIDTH EFFICIENCY
The bandwidth can be incresed by mapping two differrent ‘k’ symbols
on repectively to cos 2πfct and sin 2πfct .
Hence QAM can be represented by the following equation,
Sm(t)=Ami*g(t)*cos 2πfct – Amq*g(t)*sin 2πfct
S(t) = band pass signal Ami = Inphase amplitude
fc = carrier frequency Amq = Quadrature amplitude
g(t) =shape of signal pulse
QAM EXPRESSION
Since QAM belongs to M-ary Signalling, an M-ary QAM can be defined by the
following equation,
S(t)=Am*g(t)*cos(2πfct+θm)
S(t) = band pass signal Am = amplitude of message signal
fc = carrier frequency θm = phase angle of message signal
g(t) = real valued signal
QAM block diagram
How to generate QAM
• Two modulating signals are derived by special pre-processing from the information
bit stream.
• Two replicas of the carrier frequency sine waves are generated in which one is
delayed by 90 degrees.
• These two different modulating signals are used to modulate the two carriers.
• The resultant two modulated signals can be added together.
• The result is a sine wave having a constant frequency, but having an amplitude and
phase that both vary to convey the information.
Pictorial representation of QAM
Forms of QAM
QAM
8QAM 16QAM 32QAM 64QAM 128QAM 256QAM So on….
CONSTELLATION DIAGRAMS OF DIFFERENT
FORMS OF QAM
CIRCULAR CONSTELLATIONS
8QAM 16QAM
WHY RECTANGULAR CONSTELLATIONS ?
Disadvantages of circular constellations:
• When the value of M increases, plotting the signal points becomes complicated.
• The distance between the signal points increases which results in complexity.
As a result of these limitations we are going for Rectangular
constellations.
CONSTELLATION DIAGRAMS OF DIFFERENT
FORMS OF QAM
RECTANGULAR CONSTELLATIONS
8QAM 16QAM 32QAM
64QAM 128QAM
CONSTELLATION DIAGRAMS OF DIFFERENT
FORMS OF QAM
PROBABILITY OF ERROR OF QAM
The probability of error (Pe) for a QAM signal is obtained from a pair of PAM signals
each indicating the In-phase and Quadrature component.
The probability of error of QAM is different for different forms of QAM.
 The probability of error for 4-QAM is given by Pb (e)=1/2*erfc(Eb /No )^1/2
 The probability of error for 16-QAM is given by Pb (e)=3/8*erfc(2Eb /5No )^1/2
 The probability of error for 64-QAM is given by Pb (e)=7/24*erfc(Eb /7No )^1/2
Performance characteristics of QAM
ADVANTAGES OF QAM
 It transmits more bits of information per symbol.
 It provides good scope for high bit rates by using higher order forms of QAM.
 It is more spectral efficient technique even as compared to CPM.
 It is the best technique to be employed when it comes to linear region of operations.
DISADVANTAGES OF QAM
 It is more susceptible to noise.
 Requires coherent demodulation with exact phase and frequency.
 QAM is totally based on linearity concept in terms of everything i.e, linear amplifiers
and receivers and these linear amplifiers are less efficient and consumes more power.
APPLICATIONS OF QAM
 64-QAM and 256-QAM are often used in digital cable television and cable modem
applications.
 In the UK, 16 QAM and 64 QAM are currently used for digital terrestrial television
using Digital Video Broadcasting.
 In the US, 64 QAM and 256 QAM are the mandated modulation schemes for digital
cable as standardized by the SCTE in the standard ANSI/SCTE 07 2000.
 Variants of QAM are used for many wireless and cellular technology applications.
 QAM is being used in optical fiber systems as bit rates increases; QAM16 and
QAM64 can be optically emulated with a 3-path interferometer.
Qudrature Amplitude Modulation

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Qudrature Amplitude Modulation

  • 2. PONDICHERRY UNIVERSITY Department of Electronics Engineering By NAGUBOINA GOPI CHAND
  • 7. Sending Multiple Bits Simultaneously The above techniques are modified to send more than one bit at a time. For example: Two bits on single wave can be send by defining four amplitudes, three bits with eight amplitudes and so on.  This is applicable to other techniques like Frequency modulation and Phase modulation.
  • 8. Sending Multiple Bits Simultaneously
  • 9. Why QAM? Draw backs of ASK,PSK,FSK:  In practice, the maximum number of bits that can be sent with any one of these techniques is five bits.  Also the bandwidth required to transmit more bits is more in these ( ASK,PSK,FSK) techniques. In order to meet these kind of limitations we need to have technique that combines the merits of above techniques. Here comes the QAM
  • 10. QUADRATURE AMPLITUDE MODULATION • It’s a combination of ASK and PSK. • An extension of QPSK (logically). • It is both an analog and digital modulation scheme. • It is a technique in which information is conveyed in both amplitude and phase of the carrier signal. • This technique combines two carriers whose amplitudes are modulated independently with same frequency and phases are shifted by 90º w.r.t each other. • These carriers are called a.) In-phase carriers b.) Quadrature carriers
  • 11. INCREASES BANDWIDTH EFFICIENCY The bandwidth can be incresed by mapping two differrent ‘k’ symbols on repectively to cos 2πfct and sin 2πfct . Hence QAM can be represented by the following equation, Sm(t)=Ami*g(t)*cos 2πfct – Amq*g(t)*sin 2πfct S(t) = band pass signal Ami = Inphase amplitude fc = carrier frequency Amq = Quadrature amplitude g(t) =shape of signal pulse
  • 12. QAM EXPRESSION Since QAM belongs to M-ary Signalling, an M-ary QAM can be defined by the following equation, S(t)=Am*g(t)*cos(2πfct+θm) S(t) = band pass signal Am = amplitude of message signal fc = carrier frequency θm = phase angle of message signal g(t) = real valued signal
  • 14. How to generate QAM • Two modulating signals are derived by special pre-processing from the information bit stream. • Two replicas of the carrier frequency sine waves are generated in which one is delayed by 90 degrees. • These two different modulating signals are used to modulate the two carriers. • The resultant two modulated signals can be added together. • The result is a sine wave having a constant frequency, but having an amplitude and phase that both vary to convey the information.
  • 16. Forms of QAM QAM 8QAM 16QAM 32QAM 64QAM 128QAM 256QAM So on….
  • 17. CONSTELLATION DIAGRAMS OF DIFFERENT FORMS OF QAM CIRCULAR CONSTELLATIONS 8QAM 16QAM
  • 18. WHY RECTANGULAR CONSTELLATIONS ? Disadvantages of circular constellations: • When the value of M increases, plotting the signal points becomes complicated. • The distance between the signal points increases which results in complexity. As a result of these limitations we are going for Rectangular constellations.
  • 19. CONSTELLATION DIAGRAMS OF DIFFERENT FORMS OF QAM RECTANGULAR CONSTELLATIONS 8QAM 16QAM 32QAM
  • 20. 64QAM 128QAM CONSTELLATION DIAGRAMS OF DIFFERENT FORMS OF QAM
  • 21. PROBABILITY OF ERROR OF QAM The probability of error (Pe) for a QAM signal is obtained from a pair of PAM signals each indicating the In-phase and Quadrature component. The probability of error of QAM is different for different forms of QAM.  The probability of error for 4-QAM is given by Pb (e)=1/2*erfc(Eb /No )^1/2  The probability of error for 16-QAM is given by Pb (e)=3/8*erfc(2Eb /5No )^1/2  The probability of error for 64-QAM is given by Pb (e)=7/24*erfc(Eb /7No )^1/2
  • 23. ADVANTAGES OF QAM  It transmits more bits of information per symbol.  It provides good scope for high bit rates by using higher order forms of QAM.  It is more spectral efficient technique even as compared to CPM.  It is the best technique to be employed when it comes to linear region of operations.
  • 24. DISADVANTAGES OF QAM  It is more susceptible to noise.  Requires coherent demodulation with exact phase and frequency.  QAM is totally based on linearity concept in terms of everything i.e, linear amplifiers and receivers and these linear amplifiers are less efficient and consumes more power.
  • 25. APPLICATIONS OF QAM  64-QAM and 256-QAM are often used in digital cable television and cable modem applications.  In the UK, 16 QAM and 64 QAM are currently used for digital terrestrial television using Digital Video Broadcasting.  In the US, 64 QAM and 256 QAM are the mandated modulation schemes for digital cable as standardized by the SCTE in the standard ANSI/SCTE 07 2000.  Variants of QAM are used for many wireless and cellular technology applications.  QAM is being used in optical fiber systems as bit rates increases; QAM16 and QAM64 can be optically emulated with a 3-path interferometer.