针对全双工中继的残留回路干扰(RLI)和大规模多输入多输出(Massive MIMO)的导频污染问题,研究了一个多对用户的全双工双向中继系统,其中用户均为单天线,中继对信号进行最大比合并/最大比发射波束赋形,信道估计阶段使用长度为τ的导频序列,且τ=K.理论分析得出,当中继的收发天线数均趋于无穷大时,全双工中继的RLI和导频污染同时趋于零,并且用户对之间干扰和噪声均被消除.仿真结果证实了上述理论分析,并且随着中继天线数的增大,系统的频谱效率和能量效率将逐渐提高.进一步仿真表明,当中继的收发天线数大于160时,全双工双向中继系统的频谱效率优于半双工双向中继系统,继而优于全双工单向中继系统,并且优势随着天线数的增大更为显著.因此,大规模天线的全双工双向中继相较传统的中继系统具有更好的通信效率.
In recent years, the fullduplex twoway relaying system with Massive multiple input multiple output (MIMO) has attracted significant interest because of its performance gain on spectral efficiency and energy efficiency, but it has the problems of residual loop interference (RLI) and pilot contamination. Therefore, this paper considers a Kpair fullduplex twoway relay system, and each user equips single antenna. The relay uses maximumratio combining/maximumratio transmission (MRC/MRT) beamforming to process the signals, and it estimates the channels by only K pilot symbols for 2K users. By theoretical analysis, it is concluded that when very large receive and transmit antenna arrays are used, the RLI due to full duplex and the pilot contamination can be simultaneously cancelled, also the interpair interference and noise vanish. Simulations verify the theoretical results, and show that the energy efficiency and spectral efficiency can increase with the antenna number. Moreover, it is shown that the fullduplex twoway relaying outperforms the halfduplex twoway relaying and the fullduplex oneway relaying in the spectral efficiency when the number of relay receiving/transmitting antenna is up to 160. Therefore, the fullduplex twoway relaying with large antenna arrays has higher communication efficiency than traditional relaying systems.
[1]LU L, LI G Y, SWINDLEHURST A L, et al. An overview of massive MIMO: Benefits and challenges [J]. IEEE Journal of Selected Topics in Signal Processing, 2014, 8(5): 742758.
[2]NGO H Q, LARSSON E G, MARZETTA T L. Energy and spectral efficiency of very large multiuser MIMO systems [J]. IEEE Transactions on Communications, 2013, 61(4): 14361449.
[3]BHARADIA D, MCMILIN E, KATTI S. Full duplex radios [C]// ACM SIGCOMM 2013. Hong Kong: ACM, 2013.
[4]JOSE J, ASHIKHMIN A, MARZETTA Y L, et al. Pilot contamination and precoding in multicell TDD system [J]. IEEE Transactions on Wireless Communications, 2011, 10(8):26402651.
[5]HANEDA K, KAHRA E, WYNE S, et al. Measurement of loopback interference channels for outdoortoindoor fullduplex radio relays [C]// Proceeding IEEE/SP 14th Workshop Statist Signal Process. Madison: IEEE, 2007: 478482.
[6]CHUN B, LEE Y. A spatial selfinterference nullification method for full duplex amplifiedandforward MIMO relays [C]// Proceeding IEEE WCNC. Sydney: IEEE, 2010: 16.
[7]BLISS D W, HANCOCK T M, SCHNITER P. Hardware phenomenological effects on cochannel fullduplex MIMO relay performance [C]// Proceeding 46th Asilomar Conference Signals, Systems and Computers. Pacific Grove: IEEE, 2012: 3439.
[8]ZHENG X, LIU E, ZHANG Z, et al. An efficient pilot scheme in largescale twoway relay systems [J]. IEEE Communications Letters, 2015, 19(6): 10611064.
[9]CUI H, SONG L, JIAO B. Multipair twoway amplifyandforward relaying with very large number of relay antennas [J]. IEEE Transactions on Wireless Communications. 2014, 13(5): 26362645.
[10]WANG H, DING J, YANG J. Spectral and energy efficiency for multipair massive MIMO twoway relaying networks with imperfect CSI [C]// 2015 IEEE 82nd Vehicular Technology Conference (VTC2015Fall). Boston: IEEE, 2015: 16.
[11]YANG J, WANG H, DING J, et al. Spectral and energy efficiency for massive MIMO multipair twoway relay networks with ZFR/ZFT and imperfect CSI [C]// 2015 21st AsiaPacific Conference on Communications (APCC). Kyoto: APCC, 2015: 4751.
[12]KONG C, ZHONG C, MATTHAIOU M. Multipair twoway AF relaying systems with massive arrays and imperfect CSI [C]// 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). Shanghai: ICASSP, 2016: 36513655.
[13]NGO H Q, SURAWEERA H A, MATTHAIOU M, et al. Multipair massive MIMO fullduplex relaying with MRC/MRT processing [C]// 2014 IEEE International Conference on Communications (ICC). Sydney: ICC, 2014: 48074813.
[14]NGO H Q, SURAWEERA H A, MATTHAIOU M, et al. Multipair fullduplex relaying with massive arrays and linear processing [J]. IEEE Journal on Sel. Areas in Communications, 2014, 32(9): 17211737.
[15]ZHANG Z, CHEN Z, SHEN M, et al. Achievable rate analysis for multipair twoway massive MIMO fullduplex relay systems [C]// 2015 IEEE International Symposium on Information Theory (ISIT). Hong Kong: ISIT, 2015: 25982602.
[16]XIA X, XIE W, ZHANG D, et al. Multipair fullduplex amplifyandforward relaying with very large antenna arrays [C]// 2015 IEEE Wireless Communications and Networking Conference (WCNC). Turkey: WCNC, 2015: 304309.
[17]CRAMR H. Random variables and probability distributions [M]. Cambridge: Cambridge University Press, 2004.
[18]EVANS J,TSE D N C. Large system performance of linear multiuser receivers in multipath fading channels [J]. IEEE Transactions on Information Theory, 2000, 46(6): 20592078.
[19]SURAWEERA H A, KRIKIDIS I, GAN Z, et al. Low complexity endtoend performance optimization in MIMO fullduplex relay systems [J]. IEEE Transactions on Wireless Communications, 2014, 13(2): 913927.