Unequal Error Protection Using Low-Density Parity-Check Codes
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Unequal Error Protection Using Low-Density Parity-Check Codes. Nazanin Rahnavard Georgia Institute of Technology School of Electrical and Computer Engineering, {nazanin}@ece.gatech.edu. Outline. Background on error-control coding and low-density parity-check (LDPC) codes

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Unequal Error Protection Using Low-Density Parity-Check Codes

Nazanin Rahnavard

Georgia Institute of TechnologySchool of Electrical and Computer Engineering, {nazanin}@ece.gatech.edu


Outline Codes

  • Background on error-control coding and low-density parity-check (LDPC) codes

  • The need for unequal error protection (UEP)

  • Design of UEP-LDPC codes, Method I

  • Design of UEP-LDPC codes, Method II

  • Simulation results

  • Conclusion and future work


Message Codes

bits

Encoding

Decoding

Codeword

bits

c1

c2

c3

c4

Background on Error-Control Coding

Noisy channel

Graph representation

c1+c2+c3=0

c2+c4=0


LDPC Codes Codes

c2

c1

c3

c4

c5

v1

v2

v3

v4

v5

v6

v7

v8

v9


Unequal Error Protection (UEP) LDPC Codes Codes

  • Applications:

  • Networking

  • Transmitting an image

Intuition:

Larger variable node degrees provide more protections


d Codesc

dm

dl

dp

kl

km

m

Design of UEP-LDPC Codes, Method I

# of more important bits (MIB)

# of less important bits (LIB)

m


Simulation Results Codes

R(3,6)

LIB

MIB


Design of UEP-LDPC Codes, Method II Codes

MIB

Encoder 1

Encoder 2

Transmission

Channel

LIB

m1

Code 1

dc1

Code 2

dM1

dp11

m1

m2

kM

kL

dL

dp2

dp12

dM2

dc2

m2



Conclusion and Future Work Codes

  • Two design methodologies for providing UEP property

  • were proposed.

  • Simulation results showed the efficiency of the proposed

  • method.

  • Method II improved the performance of MIB.

  • The extension to more than two levels of protection

  • will be investigated in future.


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