Algebraic Norm-Maximizing (ANOMAX) Transmit Strategy for Two-Way Relaying With MIMO Amplify and Forward Relays

Two-way relaying is a promising scheme to achieve the ubiquitous mobile access to a reliable high data rate service, which is targeted for future mobile communication systems. In this contribution, we investigate two-way relaying with an amplify and forward relay, where the relay as well as the terminals are equipped with multiple antennas. Assuming that the terminals possess channel knowledge, the bidirectional two-way relaying channel is decoupled into two parallel effective single-user MIMO channels by subtracting the self-interference at the terminals. Thereby, any single-user MIMO technique can be applied to transmit the data. We derive an algebraic norm-maximizing (ANOMAX) transmit strategy by finding the relay amplification matrix which maximizes the weighted sum of the Frobenius norms of the effective channels and discuss the implications of this solution on the resulting signal to noise ratios. Finally, we compare ANOMAX to other existing transmission strategies via numerical computer simulations.

[1]  Claude E. Shannon,et al.  Two-way Communication Channels , 1961 .

[2]  Alexander Graham,et al.  Kronecker Products and Matrix Calculus: With Applications , 1981 .

[3]  Rohit U. Nabar,et al.  Introduction to Space-Time Wireless Communications , 2003 .

[4]  A. Wittneben,et al.  Spectral Efficient Signaling for Half-duplex Relay Channels , 2005, Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005..

[5]  Armin Wittneben,et al.  Spectral efficient protocols for half-duplex fading relay channels , 2007, IEEE Journal on Selected Areas in Communications.

[6]  Tobias J. Oechtering,et al.  Broadcast Capacity Region of Two-Phase Bidirectional Relaying , 2007, IEEE Transactions on Information Theory.

[7]  Anja Klein,et al.  Duplex Schemes in Multiple Antenna Two-Hop Relaying , 2008, EURASIP J. Adv. Signal Process..

[8]  Joohwan Chun,et al.  Achievable Sum-Rate Maximizing AF Relay Beamforming Scheme in Two-Way Relay Channels , 2008, ICC Workshops - 2008 IEEE International Conference on Communications Workshops.

[9]  Joohwan Chun,et al.  Linear Precoder and Decoder Design for Two-Way AF MIMO Relaying System , 2008, VTC Spring 2008 - IEEE Vehicular Technology Conference.

[10]  Florian Roemer,et al.  STRUCTURED LEAST SQUARES (SLS) BASED ENHANCEMENTS OF TENSOR-BASED CHANNEL ESTIMATION (TENCE) FOR TWO-WAY RELAYING WITH MULTIPLE ANTENNAS , 2009 .

[11]  Florian Roemer,et al.  Tensor-based channel estimation (TENCE) for two-way relaying with multiple antennas and spatial reuse , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.