Outage Probability and Optimum Power Allocation for Analog Network Coding

Authors:
Zhihang Yi;MinChul Ju;Il-Min Kim
Affiliations:
Dept. of Electr. & Comput. Eng., Queen's Univ., Kingston, ON, Canada;-;-
Venue:
IEEE Transactions on Wireless Communications
Year:
2011

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Abstract

We study the analog network coding (ANC), which is a well-known amplify-and-forward (AF)-based bidirectional protocol, for a bidirectional network consisting of two different sources and a relay. In this protocol, the two sources exchange information with the help of the relay during two time slots in a half-duplex mode. For this system, we first derive a tight lower bound of outage probability, which is very close to the exact outage probability in the whole signal-to-noise ratio (SNR) range irrespective of the values of channel variances. Using the tight lower bound, we obtain finite-SNR diversity-multiplexing tradeoff of the ANC protocol. Furthermore, we propose an optimum power allocation scheme, which simultaneously minimizes the outage probability and maximizes the total mutual information of the ANC protocol.