基于SVD与GMD的毫米波MIMO系统混合预编码方法
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摘要
预编码技术是毫米波多输入多输出(MIMO)系统中常用的一种可以用来提高频谱效率的技术。相较于传统的全数字预编码技术,混合预编码能够大大减少射频(RF)链的数量,更适合毫米波系统。提出了一种基于奇异值分解(SVD)和几何均值分解(GMD)相结合的混合预编码矩阵设计方法。通过MATLAB仿真分析可知,相较于基于正交匹配追踪(OMP)算法的预编码设计方法,文章提出的算法性能更优,频谱效率更接近最优全数字预编码方法,且具有更好的误码率。
The precoding technique is a technique commonly used in millimeter-wave multiple-input multiple-output(MIMO)systems that can be used to improve spectral efficiency. Compared with the traditional full-digital precoding methodhybrid precoding can greatly reduce the number of radio frequency(RF) chain, more suitable for mmWave system. In this paper, a hybrid precoding matrix design method based on singular value decomposition(SVD) and geometric mean decomposition(GMD) is proposed. Compared with the precoding design method based on orthogonal matching tracing(OMP) algorithm, the proposed algorithm has better performance and better spectral efficiency,the spectral efficiency is closer to the optimal full-digital precoding method, and has better bit errorrate.
The precoding technique is a technique commonly used in millimeter-wave multiple-input multiple-output(MIMO)systems that can be used to improve spectral efficiency. Compared with the traditional full-digital precoding methodhybrid precoding can greatly reduce the number of radio frequency(RF) chain, more suitable for mmWave system. In this paper, a hybrid precoding matrix design method based on singular value decomposition(SVD) and geometric mean decomposition(GMD) is proposed. Compared with the precoding design method based on orthogonal matching tracing(OMP) algorithm, the proposed algorithm has better performance and better spectral efficiency,the spectral efficiency is closer to the optimal full-digital precoding method, and has better bit errorrate.
引文
[1]尤肖虎,潘志文,高西奇,曹淑敏,邬贺铨.5G移动通信发展趋势与若干关键技术[J].中国科学:信息科学,2014,44(5):551-563.
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[5]Omar El Ayach,Sridhar Rajagopal,Shadi Abu-Surra,Zhouyue Pi,Robert W.Heath,Jr.Spatially Sparse Precoding in Millimeter Wave MIMO Systems[J].IEEE TRANSAC-TIONS ON WIRELESS COMMUNICATIONS.,2014,13(3):1499-1513
[6]RUSU C,MENDEZ-RIAL R,GONZALEZ-PRELCICY N,et al.Low complexity hybrid sparse precoding and combining in millimeter wave MIMO systems[C].2015 IEEE International Conference on Communications(ICC),June8-12,2015,London,UK.New Jersey:IEEE Press,2015:1340-1345.
[7]Xinyu Gao,Linglong Dai,Shuangfeng Han,Chih-Lin I,Robert W.Heath Jr.Energy-Effificient Hybrid Analog and Digital Precoding for Mm Wave MIMO Systems With Large Antenna Arrays[J].IEEE JOURNAL ON SE-LECTED AREAS IN COMMUNICATIONS,2016,34(4):998-1009.
[8]Kim C,Kim T,Seol J Y.Multi-beam transmission diversity with hybrid beamforming for MIMO-OFDMsystems[C].IEEE GLOBECOM Workshops.IEEE,2013:61-65.
[9]Singh J,Ramakrishna S.On the Feasibility of CodebookBased Beamforming in Millimeter Wave Systems With Multiple Antenna Arrays[J].Wireless Communications IEEE Transactions on,2015,14(5):2670-2683.
[10]Y.Jiang,W.W.Hager,and J.Li.The geometric mean decomposition.[J].Linear Algebra and Its Applications,2005,396,373-384
[2]Jeffrey G.Andrews,Stefano Buzzi,Wan Choi,Stephen Hanly,Angel Lozano,Anthony C.K.Soong,Jianzhong Charlie Zhang.What Will 5G Be[J].IEEE JSAC SPECIAL ISSUE ON 5G WIRE-LESS COMMUNICATION SYSTEMS 2014,32(6):1065:1082.
[3]阮成礼,董宇亮.毫米波理论与技术[M].电子科技大学出版社,2013.
[4]Foad Sohrabi,Wei Yu.Hybrid Digital and Analog Beamforming Design for Large-Scale MIMO Systems[A].ICASSP2015[C].IEEE,2015,19-24.
[5]Omar El Ayach,Sridhar Rajagopal,Shadi Abu-Surra,Zhouyue Pi,Robert W.Heath,Jr.Spatially Sparse Precoding in Millimeter Wave MIMO Systems[J].IEEE TRANSAC-TIONS ON WIRELESS COMMUNICATIONS.,2014,13(3):1499-1513
[6]RUSU C,MENDEZ-RIAL R,GONZALEZ-PRELCICY N,et al.Low complexity hybrid sparse precoding and combining in millimeter wave MIMO systems[C].2015 IEEE International Conference on Communications(ICC),June8-12,2015,London,UK.New Jersey:IEEE Press,2015:1340-1345.
[7]Xinyu Gao,Linglong Dai,Shuangfeng Han,Chih-Lin I,Robert W.Heath Jr.Energy-Effificient Hybrid Analog and Digital Precoding for Mm Wave MIMO Systems With Large Antenna Arrays[J].IEEE JOURNAL ON SE-LECTED AREAS IN COMMUNICATIONS,2016,34(4):998-1009.
[8]Kim C,Kim T,Seol J Y.Multi-beam transmission diversity with hybrid beamforming for MIMO-OFDMsystems[C].IEEE GLOBECOM Workshops.IEEE,2013:61-65.
[9]Singh J,Ramakrishna S.On the Feasibility of CodebookBased Beamforming in Millimeter Wave Systems With Multiple Antenna Arrays[J].Wireless Communications IEEE Transactions on,2015,14(5):2670-2683.
[10]Y.Jiang,W.W.Hager,and J.Li.The geometric mean decomposition.[J].Linear Algebra and Its Applications,2005,396,373-384