Journal of the Institute of Electronics Engineers of Korea TC (대한전자공학회논문지TC)

The Institute of Electronics and Information Engineers (대한전자공학회)
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Successive Cancellation Decoding of Polar Codes : Channel Synthesis and Decomposition

극 부호의 연속 제거 복호 : 채널의 합성과 분리

  • 이문호 (전북대학교 정보통신공학과) ;
  • 이준 (전북대학교 전자정보공학부) ;
  • 박주용 (신경대학교 인터넷정보통신학과)
  • Received : 2010.10.04
  • Accepted : 2011.04.18
  • Published : 2011.04.25
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Abstract

In this paper, we verify the channel synthesis and decomposition of polar codes using successive cancellation decoding algorithm over binary discrete memoryless symmetric channel by modifying Arikan's algebraic formular on encoding and decoding of polar codes. In addition, we found that information bits are sent by efficiently consisting of polar codes with their size $2^n$ through polarizing matrix ${G_2}^{{\otimes}n}$ over binary discrete memoryless symmetric channel W. Expecially, if $N{\geq}2$, the complexity of Arikan's encoding and decoding for polar codes is O($Nlog_2N$). Furthermore, we found that polar codes are one of the solution to the challenging problems for the multipoint communication.

본 논문에서는 Arikan이 제안했던 극 부호의 부호화 및 복호화의 대수적 식을 개선하여 이진 이산 무기억 대칭 채널에서 연속 제거 복호 알고리즘을 이용한 극 부호의 채널의 합성과 분리를 확인했다. 이진 이산 무기억 대칭 채널 W에서 양극화 행렬 ${G_2}^{{\otimes}n}$을 통하여 블록 길이 $2^n$인 극 부호를 효과적으로 구성하여 정보 비트를 전송할 수 있다. 특히, $N{\geq}2$일 때, Arikan 부호의 복잡도 O($Nlog_2N$)이다. 극 부호가 향후 다중점 통신의 문제에 대한 하나의 대안이 될 수 있다는 것을 확인하였다.

Keywords

References

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