Optimal network beamforming for bi-directional relay networks

Authors:
Veria Havary-Nassab;Shahram Shahbazpanahi;Ali Grami
Affiliations:
Dept. Electrical and Computer Engineering, University of Toronto, 10 King's College Road, ON, M5S 3G4, Canada;Faculty of Eng. and Applied Science, Univ. of Ontario Institute of Technology, 2000 Simcoe St. N., Oshawa, L1H 7K4, Canada;Faculty of Eng. and Applied Science, Univ. of Ontario Institute of Technology, 2000 Simcoe St. N., Oshawa, L1H 7K4, Canada
Venue:
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Year:
2009

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Multiuser two-way amplify-and-forward relay processing and power control methods for beamforming systems

IEEE Transactions on Signal Processing

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Abstract

We consider a relay network which consists of two transceivers and r relay nodes. We study a half-duplex two-way relaying scheme. First, the two transceivers transmit their information symbols simultaneously and the relays receive a noisy mixture of the two transceiver signals. Then each relay adjusts the phase and the amplitude of its received signal by multiplying it with a complex beamforming coefficient and transmits the so-obtained signal. Aiming at optimally calculating the beamforming weight vector as well as the transceiver transmit powers, we minimize the total transmit power subject to two constraints on the receive signal-to-noise ratios (SNRs) at the two transceivers. We show that the optimal weight vector can be obtained through a simple iterative algorithm which enjoys a linear computational complexity per iteration.