Two-way relay cooperative communication system demonstrates significant gain in spectral efficiency when two user nodes exchange information via a relay node. For improving the Bit Error Rate (BER) performance, a joint precoding and detection algorithm is proposed based on Lattice Reduction (LR) when all the nodes equipped with multiple antennas. The proposed algorithm modifies the channel gain matrix into more orthogonal matrix by the complex lattice reduction. Precoding and detection algorithms are combined to apply the modified matrix. The relay node processes the receiving signal by simple modulo operation and amplification. The main complexity of the algorithm is in the two user nodes. The simulation evaluations show that, the computational complexity of the algorithm is increasing just because the channel gain matrix is modified by lattice reduction. The proposed joint precoding and detection algorithm can significantly improve the performance of BER and achieve full diversity, hence it is applicable to engineering.
Jianhua M, Meixia T, and Yuan L. Secure beamforming for MIMO two-way communications with an untrusted relay[J]. IEEE Transactions on Signal Processing, 2014, 62(9): 2185-2199.
Ji Xiao-dong, Zheng Bao-yu, and Cui Jing-wu. Opportunistic relaying and power allocation for bidirectional regenerative relaying in asymmetric two-way relay channels[J]. Journal of Electronics & Information Technology, 2013, 35(7): 1707-1712.
Rui G S, Wang L, Zhang Y, et al.. Distributed two-way relay selection scheme and users power allocation[J]. Journal on Communications, 2014, 35(5): 1-7.
[4]
Rankov B and Wittneben A. Spectral efficient protocols for halfduplex fading relay channels[J]. IEEE Journal on Selected Areas in Communications, 2007, 25(2): 379-389.
[5]
Wooseok N, Chung Sae-young, and Lee Y H. Capacity bounds for two-way relay channels[C]. IEEE International Zurich Seminar on Digital Object Identifier. Zurich, Switzerland, 2008: 144-147.
Zhao Rui, Fu You-hua, Li Chun-guo, et al.. Relay processing and resource allocation strategies for multi-antenna two-way relay system[J]. Journal of Electronics & Information Technology, 2010, 32(4): 763-769.
[7]
Sanguinetti L, D'Amico A A, and Rong Y. A tutorial on the optimization of amplify-and-forward MIMO relay systems[J]. IEEE Journal on Selected Areas in Communications, 2012, 30(8): 1331-1346.
[8]
Song C, Lee K-J, and Lee I. MMSE-based MIMO cooperative relaying systems: closed-form designs and outage behavior[J]. IEEE Journal on Selected Areas in Communications, 2012, 30(8): 1390-1401.
[9]
Wang J, Wang Y, Gui X, et al.. Robust relay precoding design for two way relay systems with delayed and limited feedback[J]. IEEE Communications Letters, 2013, 17(3): 689-692.
[10]
Wang R and Tao M. Joint source and relay precoding designs for MIMO two-way relaying based on MSE criterion[J]. IEEE Transactions on Signal Processing, 2012, 6(3): 1352-1365.
[11]
Kossel M, Toifl T, and Francese P A. A 10 Gb/s 8-Tap 6b 2-PAM/4-PAM Tomlinson-Harashima precoding transmitter for future memory-link applications in 22-nm SOI CMOS[J]. IEEE Journal of Solid-State Circuits, 2013, 48(12): 3268-3284.
[12]
Wübben D, Seethaler D, and Jaldén J. Lattice reduction[J]. IEEE Signal Processing Magazine, 2011, 50(5): 70-91.
[13]
Agrell E, Eriksson T, Vardy A, et al.. Closest point search in lattices[J]. IEEE Transactions on Information Theory, 2002, 48(8): 2201-2214.
[14]
Senning C, Bruderer L, and Hunziker J. A lattice reduction- aided MIMO channel equalizer in 90 nm CMOS achieving 720 Mb/s[J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2014, 61(6): 1860-1871.
[15]
Hung Ganying, Ling Cong, and Ho Mowwai. Complex lattice reduction algorithm for low-complexity full-diversity MIMO detection[J]. IEEE Transactions on Signal Processing, 2009, 57(7): 2701-2710.
[16]
Yang Shao-hua and Qin Da-hua. Improved maximum likelihood sync mark detection for magnetic recording channels[J]. IEEE Transactions on Magnetics, 2013, 49(7): 3691-3694.
[17]
Liu F, Jiang L, and He C. Advanced joint transceiver design for block diagonal geometric mean decomposition based multiuser MIMO systems[J]. IEEE Transactions on Vehicular Technology, 2010, 59(2): 692-703.
