A Study on Optimal Beam Patterns for Single User Massive MIMO Transmissions

This paper proposes optimal beam patterns of analog beamforming for SU (Single User) massive MIMO (Multi-Input Multi-Output) transmission systems. For hybrid beamforming in SU massive MIMO systems, there are several design parameters such as beam patterns, the number of beams (streams), the shape of array antennas, and so on. In conventional hybrid beamforming, rectangular patch array antennas implemented on a planar surface with linear phase shift beam patterns have been used widely. However, it remains unclear whether existing configurations are optimal or not. Therefore, we propose a method using OBPB (Optimal Beam Projection Beamforming) for designing configuration parameters of the hybrid beamforming. By using the method, the optimal beam patterns are derived first, and are projected on the assumed surface to calculate the achievable number of streams and the resulting channel capacity. The results indicate OBPB with a spherical surface yields at least 3.5 times higher channel capacity than conventional configurations.

[1]  M. Bilodeau,et al.  Theory of multivariate statistics , 1999 .

[2]  Maki Arai,et al.  Optimal Design Method of MIMO Antenna Directivities and Corresponding Current Distributions by Using Spherical Mode Expansion , 2017, IEICE Trans. Commun..

[3]  R. Jackson Inequalities , 2007, Algebra for Parents.

[4]  Satoshi Suyama,et al.  Joint Processing of Analog Fixed Beamforming and CSI-Based Precoding for Super High Bit Rate Massive MIMO Transmission Using Higher Frequency Bands , 2015, IEICE Trans. Commun..

[5]  Geoffrey Ye Li,et al.  An Overview of Massive MIMO: Benefits and Challenges , 2014, IEEE Journal of Selected Topics in Signal Processing.

[6]  Yang Li,et al.  Fulfilling the promise of massive MIMO with 2D active antenna array , 2012, 2012 IEEE Globecom Workshops.

[7]  Wei Yu,et al.  Hybrid Analog and Digital Beamforming for mmWave OFDM Large-Scale Antenna Arrays , 2017, IEEE Journal on Selected Areas in Communications.

[8]  D. Healy,et al.  Computing Fourier Transforms and Convolutions on the 2-Sphere , 1994 .

[9]  Boon Loong Ng,et al.  Full-dimension MIMO (FD-MIMO) for next generation cellular technology , 2013, IEEE Communications Magazine.

[10]  Pengfei Xia,et al.  Channel Estimation and Hybrid Precoding for Millimeter-Wave MIMO Systems: A Low-Complexity Overall Solution , 2017, IEEE Access.

[11]  A. Lee Swindlehurst,et al.  Millimeter-wave massive MIMO: the next wireless revolution? , 2014, IEEE Communications Magazine.

[12]  Oskar Maria Baksalary,et al.  Functions of orthogonal projectors involving the Moore-Penrose inverse , 2010, Comput. Math. Appl..

[13]  André Bourdoux,et al.  Mixed Analog/Digital Beamforming for 60 GHz MIMO Frequency Selective Channels , 2010, 2010 IEEE International Conference on Communications.

[14]  Jun-ichi Takada,et al.  Antenna De-Embedding of Radio Propagation Channel With Truncated Modes in the Spherical Vector Wave Domain , 2015, IEEE Transactions on Antennas and Propagation.

[15]  F. Tufvesson,et al.  Spherical Vector Wave Expansion of Gaussian Electromagnetic Fields for Antenna-Channel Interaction Analysis , 2009, IEEE Transactions on Antennas and Propagation.

[16]  Byonghyo Shim,et al.  Overview of Full-Dimension MIMO in LTE-Advanced Pro , 2015, IEEE Communications Magazine.

[17]  Keith Q. T. Zhang,et al.  Very tight capacity bounds for MIMO-correlated Rayleigh-fading channels , 2005, IEEE Transactions on Wireless Communications.

[18]  S. R. Jammalamadaka,et al.  Directional Statistics, I , 2011 .