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Applications of
6-Dec-13

Turbo Equalization

NISHA MENON K
ROLL NO 16
1
Introduction
6-Dec-13

• Data transmission over ISI channels is a classical problem in
communication systems.
• Conventional approaches implement an equalizer to remove
ISI or use MAP or maximum likelihood (ML) detection.
• Data reliability can be enhanced using coding , when the data
is encoded in the transmitter prior to transmission.
• For reasons of complexity of coding, the receiver then
typically performs separate equalization and decoding of the
data.
2
6-Dec-13

• Significant performance gains can be achieved through
joint equalization and decoding at the cost of added
complexity.
• Complexity of joint equalization and decoding can be
reduced by using a technique
called "turbo
equalization" algorithm where detection and
decoding are performed in an iterative fashion.

3
Turbo Equalization
6-Dec-13

o Turbo Codes have aroused much exciting due to their
ability to achieve performance very close to the Shannon
limit at moderate BERs for large enough information
sequence block lengths .
o Extension of the turbo decoding principle to the
equalization process is referred to as Turbo equalization

o Turbo equalization is an iterative equalization and
decoding technique that can achieve equally impressive
performance gains for communication systems.
4
6-Dec-13

Main idea
To improve the receiver performance by
communicating soft information between the
equalizer and the decoder.

5
Turbo Equalization - Algorithm
6-Dec-13

Equalize

Map

Demap

Interleave

Deinterleave

Decode

6
Turbo Equalization
Turbo
equalization
receiver

6-Dec-13

Transmitter

7
• The turbo equalizer is an iterative receiver which operates the
equalization and decoding processes several times on the same
set of received channel symbols
• The basic principle of turbo equalization is to communicate the
soft information which reflects the reliability of the estimated
encoded bits, between the channel equalizer and the decoder
iteratively.
• Soft information is used instead of hard information in order to
improve the bit error rate performance.
8

6-Dec-13

Principle of Turbo Equalization
a priori value
for information
bit
Input LLR
value

6-Dec-13

Principle of Turbo Equalization

Extrinsic value
Soft
Input
Soft Output
Algorithm

a posteriori
value for
information bit

A SISO algorithm that processes soft decision inputs and generates soft decision outputs
is the core of iterative algorithm in the coding schemes .

9
Input

6-Dec-13

Block Diagram

SISO equalizer will combine
observations and prior probabilities
to produce aposteriori probabilities
The interleavers are included into
the iterative update loop to further
disperse the direct feedback effect.
The algorithm creates locally highly
correlated output.
These
correlations
between
neighboring symbols are largely
suppressed by the interleaver.
10
6-Dec-13

Performance

The figure shows BER performance improvement upon each iteration of turbo equalizer
11
o TEQs have been shown to be successful in mitigating the
effects of inter-symbol interference (ISI)
o They are capable of attaining a performance near that
over nondispersive channels.
o They have the potential of mitigating the effects of
channel estimation errors and synchronization errors.

12

6-Dec-13

Advantages
6-Dec-13

Applications

13
Magnetic Recording systems
6-Dec-13

Magnetic recording channels may be considered as
communication channels that are severely dispersive in
nature.

Received signal is first equalized to a desired target of
small memory length using a linear filter

PRML detection is then applied to generate the soft or
hard decision estimate of each bit.
As the normalized density increases, PRML detection
incurs more and more loss due to a larger amount of
residual ISI and stronger noise correlation
Turbo equalization (TE) scheme can be proposed, in
which the PRML detector and the decoder exchange
extrinsic soft information between each other.
14
15
6-Dec-13
6-Dec-13

Turbo equalization scheme based on lowdensity parity-check (LDPC) coding
suppression of intra-channel
nonlinearities
chromatic dispersion
compensation
polarization-mode dispersion
(PMD) compensation
16
6-Dec-13

• Suppression of fiber nonlinearities in codedmodulation schemes with coherent detection by
using turbo equalization
• Maximum a posteriori probability (MAP) turbo
equalizer based on the sliding-window multilevel BahlCocke-Jelinek-Raviv algorithm is used.
• It is suitable for simultaneous nonlinear and linear
impairment mitigation in multilevel codedmodulation schemes with coherent detection. The
scheme employs LDPC codes as channel codes.
17
To maximize the uplink throughput in
HSPA

6-Dec-13

when transmitted packet is propagated through a
dispersive channel causing self-interference, turbo
equalizers are used at the receiver end

18
Application in PLNC
In this scheme, A and B take turns to send their message to R in the first two
intervals.
R receives a superposition of modulated signals corresponding to
and
then detect the two messages from the received signal by using turbo
equalization.

.R

19

6-Dec-13

Two terminals A and B desire to exchange information with each other via the
help of an intermediate relay node R.
Application in TCM
• Turbo-equalization can be applied to trellis-codedmodulations.
6-Dec-13

• The receiver is composed of a symbol detector or an
equalizer realizing soft-output equalization, a
deinterleaver, a soft-input soft-output channel
decoder based on the a posteriori probability (APP)
algorithm.
• A specific computation, iterating probabilities
rather than extrinsic information, allows the
application of turbo equalization to TCM.
20
Applications
6-Dec-13

o Turbo equalization can improve SC-FDMA performance.
as it enhance the transmission over a frequency selective
fading channel.
o Turbo equalization receivers are used for GSM/EDGE
radio access network using QAM modulation for
overcoming the dispersion of a priori information.
o Turbo equalization and iterative (turbo) estimation
techniques are used for packet data transmission
o Turbo equalization can be used for an 8-PSK modulation
scheme in a mobile TDMA communication system

21
• With each successive iteration channel equalizer and
decoder provides more reliable LLR values which are
associated to the transmitted source bits and encoded bits.
• With increasing number of iteration, it will achieve
significant improvements in BER performance

• Turbo equalizations are mainly used in applications where
ISI is to be removed.

22

6-Dec-13

Conclusion
Reference
6-Dec-13

[1]Koetter, R.; Singer, A.; Tuchler, M.: Turbo Equalization IEEE Signal
Processing Magazine, vol. 21, no. 1, pp 67-80, Jan 2004
[2]Tüchler, M.; Koetter, R.; Singer, A.: Turbo Equalization: Principles
and New Results IEEE Trans. Communication ., vol. 50, pp. 754-767,
May 2002
[3]Tuchler, M.; Singer, A.; Koetter, R.: Minimum Mean Squared Error
Equalization Using A-priori Information IEEE Trans. Signal Processing,
vol. 50, pp. 673-683, March 2002

23
24
6-Dec-13

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Turbo equalization

  • 2. Introduction 6-Dec-13 • Data transmission over ISI channels is a classical problem in communication systems. • Conventional approaches implement an equalizer to remove ISI or use MAP or maximum likelihood (ML) detection. • Data reliability can be enhanced using coding , when the data is encoded in the transmitter prior to transmission. • For reasons of complexity of coding, the receiver then typically performs separate equalization and decoding of the data. 2
  • 3. 6-Dec-13 • Significant performance gains can be achieved through joint equalization and decoding at the cost of added complexity. • Complexity of joint equalization and decoding can be reduced by using a technique called "turbo equalization" algorithm where detection and decoding are performed in an iterative fashion. 3
  • 4. Turbo Equalization 6-Dec-13 o Turbo Codes have aroused much exciting due to their ability to achieve performance very close to the Shannon limit at moderate BERs for large enough information sequence block lengths . o Extension of the turbo decoding principle to the equalization process is referred to as Turbo equalization o Turbo equalization is an iterative equalization and decoding technique that can achieve equally impressive performance gains for communication systems. 4
  • 5. 6-Dec-13 Main idea To improve the receiver performance by communicating soft information between the equalizer and the decoder. 5
  • 6. Turbo Equalization - Algorithm 6-Dec-13 Equalize Map Demap Interleave Deinterleave Decode 6
  • 8. • The turbo equalizer is an iterative receiver which operates the equalization and decoding processes several times on the same set of received channel symbols • The basic principle of turbo equalization is to communicate the soft information which reflects the reliability of the estimated encoded bits, between the channel equalizer and the decoder iteratively. • Soft information is used instead of hard information in order to improve the bit error rate performance. 8 6-Dec-13 Principle of Turbo Equalization
  • 9. a priori value for information bit Input LLR value 6-Dec-13 Principle of Turbo Equalization Extrinsic value Soft Input Soft Output Algorithm a posteriori value for information bit A SISO algorithm that processes soft decision inputs and generates soft decision outputs is the core of iterative algorithm in the coding schemes . 9
  • 10. Input 6-Dec-13 Block Diagram SISO equalizer will combine observations and prior probabilities to produce aposteriori probabilities The interleavers are included into the iterative update loop to further disperse the direct feedback effect. The algorithm creates locally highly correlated output. These correlations between neighboring symbols are largely suppressed by the interleaver. 10
  • 11. 6-Dec-13 Performance The figure shows BER performance improvement upon each iteration of turbo equalizer 11
  • 12. o TEQs have been shown to be successful in mitigating the effects of inter-symbol interference (ISI) o They are capable of attaining a performance near that over nondispersive channels. o They have the potential of mitigating the effects of channel estimation errors and synchronization errors. 12 6-Dec-13 Advantages
  • 14. Magnetic Recording systems 6-Dec-13 Magnetic recording channels may be considered as communication channels that are severely dispersive in nature. Received signal is first equalized to a desired target of small memory length using a linear filter PRML detection is then applied to generate the soft or hard decision estimate of each bit. As the normalized density increases, PRML detection incurs more and more loss due to a larger amount of residual ISI and stronger noise correlation Turbo equalization (TE) scheme can be proposed, in which the PRML detector and the decoder exchange extrinsic soft information between each other. 14
  • 16. 6-Dec-13 Turbo equalization scheme based on lowdensity parity-check (LDPC) coding suppression of intra-channel nonlinearities chromatic dispersion compensation polarization-mode dispersion (PMD) compensation 16
  • 17. 6-Dec-13 • Suppression of fiber nonlinearities in codedmodulation schemes with coherent detection by using turbo equalization • Maximum a posteriori probability (MAP) turbo equalizer based on the sliding-window multilevel BahlCocke-Jelinek-Raviv algorithm is used. • It is suitable for simultaneous nonlinear and linear impairment mitigation in multilevel codedmodulation schemes with coherent detection. The scheme employs LDPC codes as channel codes. 17
  • 18. To maximize the uplink throughput in HSPA 6-Dec-13 when transmitted packet is propagated through a dispersive channel causing self-interference, turbo equalizers are used at the receiver end 18
  • 19. Application in PLNC In this scheme, A and B take turns to send their message to R in the first two intervals. R receives a superposition of modulated signals corresponding to and then detect the two messages from the received signal by using turbo equalization. .R 19 6-Dec-13 Two terminals A and B desire to exchange information with each other via the help of an intermediate relay node R.
  • 20. Application in TCM • Turbo-equalization can be applied to trellis-codedmodulations. 6-Dec-13 • The receiver is composed of a symbol detector or an equalizer realizing soft-output equalization, a deinterleaver, a soft-input soft-output channel decoder based on the a posteriori probability (APP) algorithm. • A specific computation, iterating probabilities rather than extrinsic information, allows the application of turbo equalization to TCM. 20
  • 21. Applications 6-Dec-13 o Turbo equalization can improve SC-FDMA performance. as it enhance the transmission over a frequency selective fading channel. o Turbo equalization receivers are used for GSM/EDGE radio access network using QAM modulation for overcoming the dispersion of a priori information. o Turbo equalization and iterative (turbo) estimation techniques are used for packet data transmission o Turbo equalization can be used for an 8-PSK modulation scheme in a mobile TDMA communication system 21
  • 22. • With each successive iteration channel equalizer and decoder provides more reliable LLR values which are associated to the transmitted source bits and encoded bits. • With increasing number of iteration, it will achieve significant improvements in BER performance • Turbo equalizations are mainly used in applications where ISI is to be removed. 22 6-Dec-13 Conclusion
  • 23. Reference 6-Dec-13 [1]Koetter, R.; Singer, A.; Tuchler, M.: Turbo Equalization IEEE Signal Processing Magazine, vol. 21, no. 1, pp 67-80, Jan 2004 [2]Tüchler, M.; Koetter, R.; Singer, A.: Turbo Equalization: Principles and New Results IEEE Trans. Communication ., vol. 50, pp. 754-767, May 2002 [3]Tuchler, M.; Singer, A.; Koetter, R.: Minimum Mean Squared Error Equalization Using A-priori Information IEEE Trans. Signal Processing, vol. 50, pp. 673-683, March 2002 23