한국통신학회논문지 (The Journal of Korean Institute of Communications and Information Sciences)

  • 제37권6B호
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  • Pages.464-473
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  • 2012
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  • 1226-4717(pISSN)
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  • 2287-3880(eISSN)
한국통신학회 (The Korean Institute of Commucations and Information Sciences)
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무선 네트워크에서 네트워크 코딩 재전송 기법의 점근적 이득

Asymptotic Gain of Network-Coded Retransmission in Wireless Networks

  • 고승우 (연세대학교 전기전자공학과 무선자원최적화 연구실) ;
  • 김성륜 (연세대학교 전기전자공학과 무선자원최적화 연구실)
  • 투고 : 2012.02.29
  • 심사 : 2012.05.09
  • 발행 : 2012.06.30
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초록

본 논문에서는 무선 네트워크에서 네트워크 코딩을 재전송에 사용했을 때 얻을 수 있는 이득을 계산했다. 먼저 무선 네트워크에서 네트워크 코딩을 재전송에 활용했을 때 얻을 수 있는 전송 실패 확률을 수학적으로 구했고 이에 따른 다이버시티 차수를 노드 숫자와 수신 확률에 따라 변함을 보였다. 전송 실패 확률을 이용하여 전송실패 확률 ${\epsilon}$을 만족시키는 ${\epsilon}$-용량 (${\epsilon}$-outage capacity) 을 구하였고, 네트워크 코딩을 사용했을 때와 안 했을 때의 ${\epsilon}$-용량의 비율을 네트워크 코딩 이득이라 정의하였다. 그리고 네트워크 코딩 이득이 다이버시티 차수의 함수로 표현됨을 보였다. 노드 숫자가 무한하게 많아지게 되면 네트워크 코딩 이득이 점근적으로 $0.25{\epsilon}^{-1}$을 달성할 수 있음을 보였다.

In this paper, we derive the gain of network coding when it is utilized for retransmission in wireless networks. To the end, we derive the outage probability of the network-coded transmission and express the diversity order as a function of the number of nodes and the node's listening probability. From the outage probability, we formulate the ${\epsilon}$-outage capacity. The network-coding gain is the ratio of the ${\epsilon}$-outage capacities between network-coded and non-coded transmissions. Under our system model, we find that the network-coding gain is a function of the diversity order. Moreover, when there are infinitely many nodes, we show that the network coding gain approaches $0.25{\epsilon}^{-1}$.

키워드

참고문헌

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