On error analysis and distributed phase steering for wireless network coding over fading channels

Authors:
Alice Yen-Chi Peng;Shahram Yousefi;Il-Min Kim
Affiliations:
Department of Electrical and Computer Engineering, Queen's University, Kingston, Ontario, Canada;Department of Electrical and Computer Engineering, Queen's University, Kingston, Ontario, Canada;Department of Electrical and Computer Engineering, Queen's University, Kingston, Ontario, Canada
Venue:
IEEE Transactions on Wireless Communications
Year:
2009

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Abstract

Network coding notions promise significant gains in wireless networks' throughput and quality of service. Future systems employing such paradigms are known to be also highly scalable and resilient to node failure and churn rates. We propose a simple framework where a single relay listens to two nodes transmitting simultaneously over the same band in the presence of Nakagami-m fading. For this multiple-access channel (MAC), we derive in closed-form the exact bit error rate of antipodal signaling with maximum-likelihood detection. As the MAC is the bottleneck in error of the overall system, this provides a good performance measure of the aggregate architecture. Using the new error expressions derived, we then propose a simple closed-loop cooperation strategy where via a ternary feedback from the relay node, significant gains in signal to noise ratio at the relay can be achieved. Our novel error analysis method is applicable to a number of other systems such as the vertical Bell labs space-time (V-BLAST) scheme and synchronous multi-user systems.