Outage probability analysis of linear block network coding (LBNC) in wireless relay networks

Authors:
Wei Bao;Wenbo Wang;Hongmei Liu;Mugen Peng
Affiliations:
Wireless Signal Processing and Network Laboratory, Key Laboratory of Universal Wireless Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China;Wireless Signal Processing and Network Laboratory, Key Laboratory of Universal Wireless Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China;Wireless Signal Processing and Network Laboratory, Key Laboratory of Universal Wireless Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China;Wireless Signal Processing and Network Laboratory, Key Laboratory of Universal Wireless Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China
Venue:
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Year:
2009

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Abstract

Considering a wireless relay network composed of a source, several relays and a destination, a linear block network coding (LBNC) scheme is proposed to combat the lossy nature of wireless channel. The relays not only replicate the messages received but also perform network coding according to a linear block generator matrix. A special case of LBNC, parity-check network coding (PCNC) scheme is firstly theoretically analyzed and the explicit Average Outage Probability (AOP) and Block Outage Probability (BOP) are derived. For comparison, advanced relay cooperation (ARC), where relays only replicate and forward messages without coding them, is also presented and analyzed. Numerical results show that PCNC performs better than ARC when SNR is high and the s - r link is in good condition. For general LBNC scheme, it is very complicated to calculate the precise outage probability due to the difference of generator matrices, and we turn to simulation to evaluate the outage performance. The result shows that the performance of (M + C,M) LBNC can be estimated by (⌊M/C⌋ + 1, ⌊M/C⌋) and (⌈M/C⌉ + 1, ⌈M/C⌉) PCNC.