Continuous Analog Channel Estimation-Aided Beamforming for Massive MIMO Systems

Analog beamforming greatly reduces the implementation cost of massive antenna transceivers by using only one up/down-conversion chain. However, it incurs a large pilot overhead when used with conventional channel estimation (CE) techniques. This is because these CE techniques involve digital processing, requiring the up/down-conversion chain to be time-multiplexed across the antenna dimensions. This paper introduces a novel CE technique, called continuous analog channel estimation (CACE), that avoids digital processing, enables analog beamforming at the receiver and additionally provides resilience against oscillator phase-noise. By avoiding time-multiplexing of up/down-conversion chains, the CE overhead is reduced significantly and furthermore becomes independent of the number of antenna elements. In CACE, a reference tone is transmitted continuously with the data signals, and the receiver uses the received reference signal as a matched filter for combining the data signals, albeit via analog processing. We propose a receiver architecture for CACE, analyze its performance in the presence of oscillator phase-noise, and derive near-optimal system parameters and power allocation. Transmit beamforming and initial access procedure with CACE are also discussed. Simulations confirm that, in comparison to conventional CE, CACE provides phase-noise resilience and a significant reduction in the CE overhead, while suffering only a small loss in signal-to-interference-plus-noise-ratio.

[1]  P. P. Vaidyanathan,et al.  Sparse Sensing With Co-Prime Samplers and Arrays , 2011, IEEE Transactions on Signal Processing.

[2]  Robert W. Heath,et al.  Spatial channel covariance estimation for mmWave hybrid MIMO architecture , 2016, 2016 50th Asilomar Conference on Signals, Systems and Computers.

[3]  George C. Alexandropoulos,et al.  Position aided beam alignment for millimeter wave backhaul systems with large phased arrays , 2017, 2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP).

[4]  Andreas F. Molisch,et al.  Reference Tone Aided Transmission for Massive MIMO: Analog Beamforming without CSI , 2018, 2018 IEEE International Conference on Communications (ICC).

[5]  Jeffrey G. Andrews,et al.  Design and Analysis of Initial Access in Millimeter Wave Cellular Networks , 2016, IEEE Transactions on Wireless Communications.

[6]  R. Ghose,et al.  Electronically adaptive antenna systems , 1964 .

[7]  Ali A. Nasir,et al.  Timing and carrier synchronization in wireless communication systems: a survey and classification of research in the last 5 years , 2016, EURASIP J. Wirel. Commun. Netw..

[8]  W. Bar,et al.  Useful formula for moment computation of normal random variables with nonzero means , 1971 .

[9]  Andreas F. Molisch,et al.  Channel Statistics-Based RF Pre-Processing with Antenna Selection , 2006, IEEE Transactions on Wireless Communications.

[10]  Xin Meng,et al.  Omnidirectional Precoding and Combining Based Synchronization for Millimeter Wave Massive MIMO Systems , 2017, IEEE Transactions on Communications.

[11]  Giuseppe Caire,et al.  Massive MIMO Channel Subspace Estimation From Low-Dimensional Projections , 2015, IEEE Transactions on Signal Processing.

[12]  Jeongho Park,et al.  Random access in millimeter-wave beamforming cellular networks: issues and approaches , 2015, IEEE Communications Magazine.

[13]  Joongheon Kim,et al.  Fast millimeter-wave beam training with receive beamforming , 2014, Journal of Communications and Networks.

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

[15]  John G. Proakis,et al.  Digital Communications , 1983 .

[16]  Robert W. Heath,et al.  The capacity optimality of beam steering in large millimeter wave MIMO systems , 2012, 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[17]  Thomas L. Marzetta,et al.  Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas , 2010, IEEE Transactions on Wireless Communications.

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

[19]  Limin Xiao,et al.  Super Fast Beam Tracking in Phased Antenna Arrays , 2017, ArXiv.

[20]  Lorenzo Piazzo,et al.  Analysis of phase noise effects in OFDM modems , 2002, IEEE Trans. Commun..

[21]  Robert W. Heath,et al.  Channel Estimation and Hybrid Precoding for Millimeter Wave Cellular Systems , 2014, IEEE Journal of Selected Topics in Signal Processing.

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

[23]  Linglong Dai,et al.  Fast Channel Tracking for Terahertz Beamspace Massive MIMO Systems , 2017, IEEE Transactions on Vehicular Technology.

[24]  Dennis Goeckel,et al.  Slightly Frequency-Shifted Reference Ultra-Wideband (UWB) Radio , 2007, IEEE Transactions on Communications.

[25]  Andreas F. Molisch,et al.  Hybrid Beamforming for Massive MIMO: A Survey , 2017, IEEE Communications Magazine.

[26]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[27]  Robert W. Heath,et al.  Channel Estimation for Hybrid Architecture-Based Wideband Millimeter Wave Systems , 2016, IEEE Journal on Selected Areas in Communications.

[28]  Andreas F. Molisch,et al.  Bit and Power Allocation in QAM Capable Multi-Differential Frequency-Shifted Reference UWB Radio , 2017, GLOBECOM 2017 - 2017 IEEE Global Communications Conference.

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

[30]  Haralabos C. Papadopoulos,et al.  Hybrid Beamforming With Selection for Multiuser Massive MIMO Systems , 2017, IEEE Transactions on Signal Processing.

[31]  Robert W. Heath,et al.  Exploiting Spatial Channel Covariance for Hybrid Precoding in Massive MIMO Systems , 2017, IEEE Transactions on Signal Processing.

[32]  Andrew J. Viterbi,et al.  Principles of coherent communication , 1966 .

[33]  Andreas F. Molisch,et al.  Diversity versus Training Overhead Trade-Off for Low Complexity Switched Transceivers , 2016, 2016 IEEE Global Communications Conference (GLOBECOM).

[34]  Robert W. Heath,et al.  An Overview of Signal Processing Techniques for Millimeter Wave MIMO Systems , 2015, IEEE Journal of Selected Topics in Signal Processing.

[35]  P. Thompson Adaptation by direct phase-shift adjustment in narrow-band adaptive antenna systems , 1976 .

[36]  Michele Zorzi,et al.  Initial Access in 5G mmWave Cellular Networks , 2016, IEEE Communications Magazine.

[37]  Philippe J. Sartori,et al.  Initial beamforming for mmWave communications , 2014, 2014 48th Asilomar Conference on Signals, Systems and Computers.

[38]  Junho Lee,et al.  Channel Estimation via Orthogonal Matching Pursuit for Hybrid MIMO Systems in Millimeter Wave Communications , 2016, IEEE Transactions on Communications.

[39]  Fredrik Tufvesson,et al.  A survey on vehicle-to-vehicle propagation channels , 2009, IEEE Wireless Communications.

[40]  Wei Yu,et al.  Hybrid Digital and Analog Beamforming Design for Large-Scale Antenna Arrays , 2016, IEEE Journal of Selected Topics in Signal Processing.

[41]  Rajendra Bhatia,et al.  A Better Bound on the Variance , 2000, Am. Math. Mon..

[42]  A. Robert Calderbank,et al.  PETRELS: Parallel Subspace Estimation and Tracking by Recursive Least Squares From Partial Observations , 2012, IEEE Transactions on Signal Processing.

[43]  Robert W. Heath,et al.  Augmented covariance estimation with a cyclic approach in DOA , 2015, 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[44]  R. Huff,et al.  Phase-Locked Loop Coherent Combiners for Phased Array Sensor Systems , 1982, IEEE Trans. Commun..

[45]  Wolfgang Rave,et al.  Effects of Phase Noise on OFDM Systems With and Without PLL: Characterization and Compensation , 2007, IEEE Transactions on Communications.

[46]  O. Scott Sands,et al.  Beam-Switch Transient Effects in the RF Path of the ICAPA Receive Phased Array Antenna , 2003 .

[47]  M. Breese,et al.  Phase-Locked Loops for Electronically Scanned Antenna Arrays , 1961, IRE Transactions on Space Electronics and Telemetry.

[48]  Theodore S. Rappaport,et al.  Joint Spatial Division and Multiplexing for mm-Wave Channels , 2013, IEEE Journal on Selected Areas in Communications.

[49]  A. Mehrotra,et al.  Noise analysis of phase-locked loops , 2002 .

[50]  Geert Leus,et al.  Compressive covariance sampling , 2013, 2013 Information Theory and Applications Workshop (ITA).

[51]  David James Love,et al.  Downlink Training Techniques for FDD Massive MIMO Systems: Open-Loop and Closed-Loop Training With Memory , 2013, IEEE Journal of Selected Topics in Signal Processing.

[52]  Siegfried Schaible Fractional programming , 1983, Z. Oper. Research.

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

[54]  P. P. Vaidyanathan,et al.  Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom , 2010, IEEE Transactions on Signal Processing.

[55]  Robert W. Heath,et al.  Five disruptive technology directions for 5G , 2013, IEEE Communications Magazine.

[56]  John Thompson,et al.  Massive MIMO Channel Estimation for Millimeter Wave Systems via Matrix Completion , 2018, IEEE Signal Processing Letters.

[57]  Alle-Jan van der Veen,et al.  Analog Beamforming in MIMO Communications With Phase Shift Networks and Online Channel Estimation , 2010, IEEE Transactions on Signal Processing.

[58]  Pravin Varaiya,et al.  Capacity of fading channels with channel side information , 1997, IEEE Trans. Inf. Theory.

[59]  Antonio Capone,et al.  Facing the Millimeter-Wave Cell Discovery Challenge in 5G Networks With Context-Awareness , 2016, IEEE Access.

[60]  Haralabos C. Papadopoulos,et al.  Preprocessor design for hybrid preprocessing with selection in massive MISO systems , 2017, 2017 IEEE International Conference on Communications (ICC).

[61]  J. Doob,et al.  The Brownian Movement and Stochastic Equations , 1942 .

[62]  Sundeep Rangan,et al.  Comparative analysis of initial access techniques in 5G mmWave cellular networks , 2016, 2016 Annual Conference on Information Science and Systems (CISS).

[63]  Yeheskel Bar-Ness,et al.  Phase Noise Estimation and Mitigation for OFDM Systems , 2006, IEEE Transactions on Wireless Communications.

[64]  Taneli Riihonen,et al.  Performance Analysis of OFDM with Wiener Phase Noise and Frequency Selective Fading Channel , 2011, IEEE Transactions on Communications.

[65]  Andreas F. Molisch,et al.  Optimizing Channel-Statistics-Based Analog Beamforming for Millimeter-Wave Multi-User Massive MIMO Downlink , 2017, IEEE Transactions on Wireless Communications.