Oversampling Based Analog Beamforming for Initial Access With a Large Number of Receive Antennas

Beamforming can provide huge array gains in large-scale antenna systems under the condition that the channel state information (CSI) has been obtained by training signals. During the initial access, no CSI is available at the receiver because the communication link between the transmitter and the receiver has not been established. This paper considers the problem of obtaining the beamforming gain for receivers with the analog beamforming architecture in the initial access, assuming that a fixed beam pattern is employed. We present the necessary and sufficient condition to obtain the receive beamforming gain in the absence of CSI, and then derive the upper bound of the receive beamforming gain for different antenna spacings. It is shown that oversampling in space is needed at the receiver to obtain a non-trivial beamforming gain without CSI, since the total received signal power is proportional to the number of receive antennas. We also design the beamformer that can achieve the upper bound. Numerical results demonstrate the effectiveness of the proposed beamformer in the scenarios of downlink synchronization and random access in millimeter-wave systems.

[1]  Upamanyu Madhow,et al.  Noncoherent eigenbeamforming and interference suppression for outdoor OFDM systems , 2008, IEEE Transactions on Communications.

[2]  Michael A. Jensen,et al.  Mutual coupling in MIMO wireless systems: a rigorous network theory analysis , 2004, IEEE Transactions on Wireless Communications.

[3]  Xin Meng,et al.  Omnidirectional Space-Time Block Coding for Common Information Broadcasting in Massive MIMO Systems , 2018, IEEE Transactions on Wireless Communications.

[4]  Andrea J. Goldsmith,et al.  Scaling Laws for Noncoherent Energy-Based Communications in the SIMO MAC , 2016, IEEE Transactions on Information Theory.

[5]  Volker Jungnickel,et al.  Capacity of MIMO systems with closely spaced antennas , 2003, IEEE Communications Letters.

[6]  Shuangfeng Han,et al.  Large-scale antenna systems with hybrid analog and digital beamforming for millimeter wave 5G , 2015, IEEE Communications Magazine.

[7]  Jin Liu,et al.  Initial Access, Mobility, and User-Centric Multi-Beam Operation in 5G New Radio , 2018, IEEE Communications Magazine.

[8]  Abdolmehdi Dadgarpour,et al.  Mutual coupling suppression in closely spaced antennas , 2011 .

[9]  Andreas F. Molisch,et al.  Periodic Analog Channel Estimation Aided Beamforming for Massive MIMO Systems , 2019, IEEE Transactions on Wireless Communications.

[10]  Robert W. Heath,et al.  Energy-Efficient Hybrid Analog and Digital Precoding for MmWave MIMO Systems With Large Antenna Arrays , 2015, IEEE Journal on Selected Areas in Communications.

[11]  Iain B. Collings,et al.  Design and Analysis of Transmit Beamforming for Millimeter Wave Base Station Discovery , 2016, IEEE Transactions on Wireless Communications.

[12]  Iain B. Collings,et al.  Millimeter Wave Beam Alignment: Large Deviations Analysis and Design Insights , 2016, IEEE Journal on Selected Areas in Communications.

[13]  Thomas F. Coleman,et al.  An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds , 1993, SIAM J. Optim..

[14]  Chi Ho Cheng,et al.  Reduction of Mutual Coupling Between Closely-Packed Antenna Elements , 2007, IEEE Transactions on Antennas and Propagation.

[15]  M. J. Gans,et al.  Channel Capacity Between Antenna Arrays— Part II: Amplifier Noise Dominates , 2006, IEEE Transactions on Communications.

[16]  Theodore S. Rappaport,et al.  Millimeter Wave Channel Modeling and Cellular Capacity Evaluation , 2013, IEEE Journal on Selected Areas in Communications.

[17]  Giuseppe Caire,et al.  On the Beamformed Broadcast Signaling for Millimeter Wave Cell Discovery: Performance Analysis and Design Insight , 2017, ArXiv.

[18]  Buon Kiong Lau,et al.  Simple and Efficient Decoupling of Compact Arrays With Parasitic Scatterers , 2012, IEEE Transactions on Antennas and Propagation.

[19]  Sanjit K. Mitra,et al.  Digital Signal Processing: A Computer-Based Approach , 1997 .

[20]  Robert W. Heath,et al.  Limited Feedback Hybrid Precoding for Multi-User Millimeter Wave Systems , 2014, IEEE Transactions on Wireless Communications.

[21]  Andreas F. Molisch,et al.  Multi-Antenna FSR Receivers: Low Complexity, Non-Coherent, Massive Antenna Receivers , 2018, 2018 IEEE Global Communications Conference (GLOBECOM).

[22]  A.M. Sayeed,et al.  Maximizing MIMO Capacity in Sparse Multipath With Reconfigurable Antenna Arrays , 2007, IEEE Journal of Selected Topics in Signal Processing.

[23]  Xiaoxing Yin,et al.  Mutual Coupling Suppression Between Two Closely Spaced Microstrip Antennas With an Asymmetrical Coplanar Strip Wall , 2016, IEEE Antennas and Wireless Propagation Letters.

[24]  Yongming Huang,et al.  Flat Beam Design for Massive MIMO Systems via Riemannian Optimization , 2019, IEEE Wireless Communications Letters.

[25]  Xiqi Gao,et al.  Omnidirectional Precoding Based Transmission in Massive MIMO Systems , 2016, IEEE Transactions on Communications.

[26]  Seong-Ook Park,et al.  Compact Antenna Array With Port Decoupling for LTE-Standardized Mobile Phones , 2009, IEEE Antennas and Wireless Propagation Letters.

[27]  Erik G. Larsson,et al.  Scaling Up MIMO: Opportunities and Challenges with Very Large Arrays , 2012, IEEE Signal Process. Mag..

[28]  Josef A. Nossek,et al.  Gaussian multiple access channel with compact antenna arrays , 2011, 2011 IEEE International Symposium on Information Theory Proceedings.

[29]  Pei Liu,et al.  Directional Cell Discovery in Millimeter Wave Cellular Networks , 2014, IEEE Transactions on Wireless Communications.

[30]  James R. Zeidler,et al.  Performance analysis of compact antenna arrays with MRC in correlated Nakagami fading channels , 2001, IEEE Trans. Veh. Technol..

[31]  Tharmalingam Ratnarajah,et al.  Large-Scale MIMO Transmitters in Fixed Physical Spaces: The Effect of Transmit Correlation and Mutual Coupling , 2013, IEEE Transactions on Communications.

[32]  Jiaheng Wang,et al.  Codebook Design for Beam Alignment in Millimeter Wave Communication Systems , 2017, IEEE Transactions on Communications.

[33]  Dan P. Scholnik,et al.  Transmit and receive circular array pattern synthesis for radar applications , 2016, 2016 IEEE Radar Conference (RadarConf).

[34]  Branka Vucetic,et al.  A Random Beamforming Technique for Omnidirectional Coverage in Multiple-Antenna Systems , 2013, IEEE Transactions on Vehicular Technology.

[35]  Erik G. Larsson,et al.  On the operation of massive MIMO with and without transmitter CSI , 2014, 2014 IEEE 15th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[36]  Geoffrey Ye Li,et al.  Broadbeam for Massive MIMO Systems , 2015, IEEE Transactions on Signal Processing.

[37]  Raffaele D'Errico,et al.  Millimeter-Wave Indoor Channel Characteristics in $V$ and $E$ Bands , 2018 .

[38]  Erik G. Larsson,et al.  Energy and Spectral Efficiency of Very Large Multiuser MIMO Systems , 2011, IEEE Transactions on Communications.

[39]  Sundeep Rangan,et al.  Initial Access in Millimeter Wave Cellular Systems , 2015, IEEE Transactions on Wireless Communications.

[40]  Antonio Capone,et al.  Fast Cell Discovery in mm-Wave 5G Networks with Context Information , 2017, IEEE Transactions on Mobile Computing.

[41]  Sailing He,et al.  Reducing Mutual Coupling for an Extremely Closely-Packed Tunable Dual-Element PIFA Array Through a Resonant Slot Antenna Formed In-Between , 2010, IEEE Transactions on Antennas and Propagation.