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Two Zero Forcing Beamfomers for the Full Duplex Two Way Relay Channel

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Abstract

We propose two closed form zero-forcing beamformers (ZFBF) for the full-duplex (FD) two way relay network, which efficiently suppress the self-interferences at the involved nodes so that the two way relaying can be implemented in a single time phase. We assume a large portion of the self-interferences are suppressed by analog circuit parts and the proposed digital domain beamforming remove the remaining interference. By repetitive applications of projection onto the orthogonal space combined with the geometric geodesic beamforming, the two schemes allow us to characterize the rate pair curves of the FD two way relay network by simply varying the angles forming the geodesic beamforming vectors. Two optimization approaches can be applied to find the angle parameters and the better ZFBF design.

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Notes

  1. Note that the i.i.d. assumption of SI channel elements is far from actual channel measurement report [3] and it corresponds to an worst case scenario. Since the ZFBF of this letter nulls out the SI, the statistical property of these channel elements does not impact the performance.

  2. Since we are interested in the SNR of the links, we only consider the range \(0\le \varphi _M\le \varPsi _M\), which covers the phase ambiguity.

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Acknowledgements

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (NRF-2010-0020210).

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Authors and Affiliations

  1. Electrical Engineering, Konkuk University, Seoul, South Korea

    Yungho Choi & Duckdong Hwang

  2. School of Information and Communication Engineering, Sungkyunkwan University, Suwon, 440-746, South Korea

    Tae-Jin Lee

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  1. Yungho Choi
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  2. Duckdong Hwang
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  3. Tae-Jin Lee
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Correspondence to Tae-Jin Lee.

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Choi, Y., Hwang, D. & Lee, TJ. Two Zero Forcing Beamfomers for the Full Duplex Two Way Relay Channel. Wireless Pers Commun 98, 1207–1217 (2018). https://doi.org/10.1007/s11277-017-4915-7

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  • DOI: https://doi.org/10.1007/s11277-017-4915-7

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