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Design of Expanded Constellations
for PAPR Reduction in OFDM
Systems
Speaker: Dr. Ali Al-Shaikhi
Assistant Professor, EE department
Dr. Ali Al-Shaikhi, EE Dept.
1
Outline
 Communication System Demand
 OFDM
 Basic Principle
 The Overall System
 Advantages, Applications, Problems (High PAPR)
 Techniques Used to Reduce the High PAPR
 The Proposed Technique to Reduce the High PAPR
 Redial Symmetry Based Technique
 Constellation Expansion for Alternative Points on:
• External Circle
• External Square
 Application of the Design and Results for:
 QPSK and 16 QAM (external circle)
 64QAM and 256 QAM (external square)
 Conclusion
Dr. Ali Al-Shaikhi, EE Dept.
2
Communication System
 The demand is increasing for:
 Wireless communication
 High data rate transmission
 Under such demand → multipath fading channel
 Multipath: multiple reflected signals with different
phases and times arrivals
 The time difference between first and last
multipath components is the delay spread
distortion
 The signal spreads due to the different phases
leading to ISI
 The Best Solution?! OFDM
Dr. Ali Al-Shaikhi, EE Dept.
3
Orthogonal Frequency Division
Multiplexing (OFDM)
 Multi-tones modulation
 The wide bandwidth is
divided into a number of
small equally spaced
frequency bands
 A subcarrier carrying a
portion of the user
information is
transmitted in each
band
 The subcarriers are
overlapping but they are
recoverable since they
are orthogonal
16 QAM
Dr. Ali Al-Shaikhi, EE Dept.
4
OFDM System
Dr. Ali Al-Shaikhi, EE Dept.
5
Advantages
 Immunity to delay spread
 Symbol duration > channel delay spread
 Robust against ISI
 Simple or no equalization
 High spectral efficiency
 Because of subcarriers overlapping
 Efficient implementation using FFT
 No need for mixers
Dr. Ali Al-Shaikhi, EE Dept.
6
Applications
 ADSL and VDSL broadband access via telephone
network copper wires
 IEEE 802.11a and 802.11g Wireless LANs
 The Digital audio broadcasting systems EUREKA
147, Digital Radio Mondiale, HD Radio, T-DMB and
ISDB-TSB
 Terrestrial digital TV systems DVB-T, DVB-H, T-DMB
and ISDB-T
 IEEE 802.16 or WiMax Wireless MAN
 IEEE 802.20 or Mobile Broadband Wireless Access
(MBWA)
 Flash-OFDM cellular system
 Some Ultra wideband (UWB) systems
 Power line communication (PLC)
Dr. Ali Al-Shaikhi, EE Dept.
7
OFDM Problems
 Sensitive to Doppler shift
 Sensitive to frequency
synchronization
 High PAPR









)
(
)
(
max
PAPR 2
2
0
t
x
t
x
m
E
m
T
t
Dr. Ali Al-Shaikhi, EE Dept.
8
High PAPR Problem
 The high PAPR causes the
peaks to enter the saturation
region of the HPA
 Non-linear amplification by
the HPA:
 In-band distortion:
increases the BER at the
receiver
 Out-off-band distortion:
causes spectral regrowth
Dr. Ali Al-Shaikhi, EE Dept.
9
Solutions to High PAPR
 Use HPA that is highly linear
 Very expensive
 Try to operate the HPA in the linear region
 Large back off is required
 Not efficient use of the HPA
 Linearize the HPA by using pre-distorters
 Try to reduce the high PAPR
Dr. Ali Al-Shaikhi, EE Dept.
10
PAPR Reduction Techniques
 Clipping/filtering
 Coding
 FEC
 Phase Optimization
 Partial Transmit Sequence
 Selected Mapping (SLM)
 Probabilistic
 Tone Reservation (TR)
 Tone Injection (TI)
 Active Constellation Extension (ACE)
 Error Insertion (EI)
 PAPR reduction at the expense of: complexity↑,
average power↑, BER↑, and data rate↓
Dr. Ali Al-Shaikhi, EE Dept.
11
Tone Injection
Dr. Ali Al-Shaikhi, EE Dept.
12
Error Insertion
Dr. Ali Al-Shaikhi, EE Dept.
13
Active Constellation Extension
Dr. Ali Al-Shaikhi, EE Dept.
14
Proposed Technique to Reduce
the High PAPR
 Radial symmetric mapping provides the most reduction to
the high PAPR in OFDM system.
 Design the constellation in such a way that we take
advantage of such location using two form of constellation
expansion:
 On an external circle: each alternative point is radially
symmetric to original point(s). High average power
increase especially for high level QAM.
 On an external square: each alternative point is radially
symmetric to a group of original points. Minimum
average power increase. It is good for high level QAM.
 In both designs, the minimum distance of the constellation is
maintained.
 When we have ambiguity, the alternative signalling points
represent recoverable erasures introduced at the transmitter
for the purpose of reducing PAPR
Dr. Ali Al-Shaikhi, EE Dept.
15
Radial Symmetry Concept
Dr. Ali Al-Shaikhi, EE Dept.
16
Test and Statistics
QPSK, 64 Tones
Dr. Ali Al-Shaikhi, EE Dept.
17
Alternative Points on External Circle:
QPSK and 16QAM Designs
QPSK 16QAM
Dr. Ali Al-Shaikhi, EE Dept.
18
Alternative Points on External Square:
256QAM with 4-to-1 Mapping
Dr. Ali Al-Shaikhi, EE Dept.
19
Framework: Frequency Perturbation
Dr. Ali Al-Shaikhi, EE Dept.
20
(1)
Search
Model:
QPSK
Dr. Ali Al-Shaikhi, EE Dept.
21
(2)
Search
Model:
QPSK
Dr. Ali Al-Shaikhi, EE Dept.
22
CCDF: QPSK and 64 Tones
Dr. Ali Al-Shaikhi, EE Dept.
23
CCDF: 16QAM and 64 Tones (NE)
Dr. Ali Al-Shaikhi, EE Dept.
24
CCDF: 16QAM and 64 Tones (WE)
Dr. Ali Al-Shaikhi, EE Dept.
25
CCDF: 256QAM and 64 Tones
Dr. Ali Al-Shaikhi, EE Dept.
26
Tone Usage and Average Power
Increase
Dr. Ali Al-Shaikhi, EE Dept.
27
PSD of the proposed technique:
16-ary QAM and 64 sub-carriers
Dr. Ali Al-Shaikhi, EE Dept.
28
PSD of the proposed technique:
16-ary QAM and 64 sub-carriers
Dr. Ali Al-Shaikhi, EE Dept.
29
Conclusion
 Radial symmetric mapping provides the most reduction to
the high PAPR in OFDM system.
 We designed expanded constellations to exploit the
concept of radial symmetry by location the external points
on an external square.
 The minimum distance is maintained and the square is
specially suitable for high level QAM since th increase in
average power is very small.
 Erasure decoding was used to deal with the ambiguity
when a radial symmetric point corresponds to multiple
original points.
 The average power increase was discussed and found to
be relatively small
 This scheme is very flexible and easily extendable to high
level QAM.
 The proposed method offers tradeoff between PAPR
reduction and the system’s ability to recover from errors in
the channel.
Design of Expanded Constellations
for PAPR Reduction in OFDM
Systems
Thank You For Your Attention

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Dr_ Al-Shaikhi_Seminar_PAPR.ppt

  • 1. Design of Expanded Constellations for PAPR Reduction in OFDM Systems Speaker: Dr. Ali Al-Shaikhi Assistant Professor, EE department
  • 2. Dr. Ali Al-Shaikhi, EE Dept. 1 Outline  Communication System Demand  OFDM  Basic Principle  The Overall System  Advantages, Applications, Problems (High PAPR)  Techniques Used to Reduce the High PAPR  The Proposed Technique to Reduce the High PAPR  Redial Symmetry Based Technique  Constellation Expansion for Alternative Points on: • External Circle • External Square  Application of the Design and Results for:  QPSK and 16 QAM (external circle)  64QAM and 256 QAM (external square)  Conclusion
  • 3. Dr. Ali Al-Shaikhi, EE Dept. 2 Communication System  The demand is increasing for:  Wireless communication  High data rate transmission  Under such demand → multipath fading channel  Multipath: multiple reflected signals with different phases and times arrivals  The time difference between first and last multipath components is the delay spread distortion  The signal spreads due to the different phases leading to ISI  The Best Solution?! OFDM
  • 4. Dr. Ali Al-Shaikhi, EE Dept. 3 Orthogonal Frequency Division Multiplexing (OFDM)  Multi-tones modulation  The wide bandwidth is divided into a number of small equally spaced frequency bands  A subcarrier carrying a portion of the user information is transmitted in each band  The subcarriers are overlapping but they are recoverable since they are orthogonal 16 QAM
  • 5. Dr. Ali Al-Shaikhi, EE Dept. 4 OFDM System
  • 6. Dr. Ali Al-Shaikhi, EE Dept. 5 Advantages  Immunity to delay spread  Symbol duration > channel delay spread  Robust against ISI  Simple or no equalization  High spectral efficiency  Because of subcarriers overlapping  Efficient implementation using FFT  No need for mixers
  • 7. Dr. Ali Al-Shaikhi, EE Dept. 6 Applications  ADSL and VDSL broadband access via telephone network copper wires  IEEE 802.11a and 802.11g Wireless LANs  The Digital audio broadcasting systems EUREKA 147, Digital Radio Mondiale, HD Radio, T-DMB and ISDB-TSB  Terrestrial digital TV systems DVB-T, DVB-H, T-DMB and ISDB-T  IEEE 802.16 or WiMax Wireless MAN  IEEE 802.20 or Mobile Broadband Wireless Access (MBWA)  Flash-OFDM cellular system  Some Ultra wideband (UWB) systems  Power line communication (PLC)
  • 8. Dr. Ali Al-Shaikhi, EE Dept. 7 OFDM Problems  Sensitive to Doppler shift  Sensitive to frequency synchronization  High PAPR          ) ( ) ( max PAPR 2 2 0 t x t x m E m T t
  • 9. Dr. Ali Al-Shaikhi, EE Dept. 8 High PAPR Problem  The high PAPR causes the peaks to enter the saturation region of the HPA  Non-linear amplification by the HPA:  In-band distortion: increases the BER at the receiver  Out-off-band distortion: causes spectral regrowth
  • 10. Dr. Ali Al-Shaikhi, EE Dept. 9 Solutions to High PAPR  Use HPA that is highly linear  Very expensive  Try to operate the HPA in the linear region  Large back off is required  Not efficient use of the HPA  Linearize the HPA by using pre-distorters  Try to reduce the high PAPR
  • 11. Dr. Ali Al-Shaikhi, EE Dept. 10 PAPR Reduction Techniques  Clipping/filtering  Coding  FEC  Phase Optimization  Partial Transmit Sequence  Selected Mapping (SLM)  Probabilistic  Tone Reservation (TR)  Tone Injection (TI)  Active Constellation Extension (ACE)  Error Insertion (EI)  PAPR reduction at the expense of: complexity↑, average power↑, BER↑, and data rate↓
  • 12. Dr. Ali Al-Shaikhi, EE Dept. 11 Tone Injection
  • 13. Dr. Ali Al-Shaikhi, EE Dept. 12 Error Insertion
  • 14. Dr. Ali Al-Shaikhi, EE Dept. 13 Active Constellation Extension
  • 15. Dr. Ali Al-Shaikhi, EE Dept. 14 Proposed Technique to Reduce the High PAPR  Radial symmetric mapping provides the most reduction to the high PAPR in OFDM system.  Design the constellation in such a way that we take advantage of such location using two form of constellation expansion:  On an external circle: each alternative point is radially symmetric to original point(s). High average power increase especially for high level QAM.  On an external square: each alternative point is radially symmetric to a group of original points. Minimum average power increase. It is good for high level QAM.  In both designs, the minimum distance of the constellation is maintained.  When we have ambiguity, the alternative signalling points represent recoverable erasures introduced at the transmitter for the purpose of reducing PAPR
  • 16. Dr. Ali Al-Shaikhi, EE Dept. 15 Radial Symmetry Concept
  • 17. Dr. Ali Al-Shaikhi, EE Dept. 16 Test and Statistics QPSK, 64 Tones
  • 18. Dr. Ali Al-Shaikhi, EE Dept. 17 Alternative Points on External Circle: QPSK and 16QAM Designs QPSK 16QAM
  • 19. Dr. Ali Al-Shaikhi, EE Dept. 18 Alternative Points on External Square: 256QAM with 4-to-1 Mapping
  • 20. Dr. Ali Al-Shaikhi, EE Dept. 19 Framework: Frequency Perturbation
  • 21. Dr. Ali Al-Shaikhi, EE Dept. 20 (1) Search Model: QPSK
  • 22. Dr. Ali Al-Shaikhi, EE Dept. 21 (2) Search Model: QPSK
  • 23. Dr. Ali Al-Shaikhi, EE Dept. 22 CCDF: QPSK and 64 Tones
  • 24. Dr. Ali Al-Shaikhi, EE Dept. 23 CCDF: 16QAM and 64 Tones (NE)
  • 25. Dr. Ali Al-Shaikhi, EE Dept. 24 CCDF: 16QAM and 64 Tones (WE)
  • 26. Dr. Ali Al-Shaikhi, EE Dept. 25 CCDF: 256QAM and 64 Tones
  • 27. Dr. Ali Al-Shaikhi, EE Dept. 26 Tone Usage and Average Power Increase
  • 28. Dr. Ali Al-Shaikhi, EE Dept. 27 PSD of the proposed technique: 16-ary QAM and 64 sub-carriers
  • 29. Dr. Ali Al-Shaikhi, EE Dept. 28 PSD of the proposed technique: 16-ary QAM and 64 sub-carriers
  • 30. Dr. Ali Al-Shaikhi, EE Dept. 29 Conclusion  Radial symmetric mapping provides the most reduction to the high PAPR in OFDM system.  We designed expanded constellations to exploit the concept of radial symmetry by location the external points on an external square.  The minimum distance is maintained and the square is specially suitable for high level QAM since th increase in average power is very small.  Erasure decoding was used to deal with the ambiguity when a radial symmetric point corresponds to multiple original points.  The average power increase was discussed and found to be relatively small  This scheme is very flexible and easily extendable to high level QAM.  The proposed method offers tradeoff between PAPR reduction and the system’s ability to recover from errors in the channel.
  • 31. Design of Expanded Constellations for PAPR Reduction in OFDM Systems Thank You For Your Attention