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The Scientific World Journal
Volume 2014, Article ID 470324, 8 pages
Research Article

A Novel Error Detection due to Joint CRC Aided Denoise-and-Forward Network Coding for Two-Way Relay Channels

1Jiangsu Key Lab of Wireless Communications, Nanjing University of Posts & Telecommunications, Nanjing 210003, China
2Key Lab of Broadband Wireless Communication & Sensor Network Technology, Ministry of Education, Nanjing 210003, China

Received 28 May 2014; Revised 16 August 2014; Accepted 16 August 2014; Published 27 August 2014

Academic Editor: Branimir Reljin

Copyright © 2014 Yulun Cheng and Longxiang Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In wireless two-way (TW) relay channels, denoise-and-forward (DNF) network coding (NC) is a promising technique to achieve spectral efficiency. However, unsuccessful detection at relay severely deteriorates the diversity gain, as well as end-to-end pairwise error probability (PEP). To handle this issue, a novel joint cyclic redundancy code (CRC) check method (JCRC) is proposed in this paper by exploiting the property of two NC combined CRC codewords. Firstly, the detection probability bounds of the proposed method are derived to prove its efficiency in evaluating the reliability of NC signals. On the basis of that, three JCRC aided TW DNF NC schemes are proposed, and the corresponding PEP performances are also derived. Numerical results reveal that JCRC aided TW DNF NC has similar PEP comparing with the separate CRC one, while the complexity is reduced to half. Besides, it demonstrates that the proposed schemes outperform the conventional one with log-likelihood ratio threshold.