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Asymptotically Optimal Error-Rate Performance of Linear Physical-Layer Network Coding in Rayleigh Fading Two-Way Relay Channels

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2 Author(s)
Tao Yang ; Wireless & Networking Technol. Lab. (WNTL), Commonwealth Sci. & Ind. Res. Organ. (CSIRO), Sydney, NSW, Australia ; Collings, I.B.

We study a new linear physical-layer network coding (LPNC) scheme for fading two-way relay channels. In the uplink phase, two users transmit simultaneously. The relay selects some integer coefficients and computes a linear combination (in a size-q finite set) of the two users' messages, which is broadcast in the downlink phase. We develop a design criterion for choosing the integer coefficients that minimizes the error probability. Based on that, we derive an asymptotically tight bound, in a closed-form, for the error probability of the LPNC scheme over Rayleigh fading channels. Our analysis shows that the error-rate performance of the LPNC scheme becomes asymptotically optimal at a high SNR, and our designed LPNC scheme significantly outperforms existing schemes in the literature.

Published in:

Communications Letters, IEEE  (Volume:16 ,  Issue: 7 )