Periodic Analog Channel Estimation Aided Beamforming for Massive MIMO Systems

Analog beamforming is an attractive and cost-effective solution to exploit the benefits of massive multiple-input-multiple-output systems, requiring only one up/down-conversion chain. However, the presence of only one chain imposes a significant overhead in estimating the channel state information required for beamforming, when conventional digital channel estimation (CE) approaches are used. As an alternative, this paper proposes a novel CE technique, called periodic analog CE (PACE), which can be performed by analog hardware. By avoiding digital processing, the estimation overhead is significantly lowered and does not scale with the number of antennas. PACE involves the periodic transmission of a sinusoidal reference signal by the transmitter, the estimation of its amplitude and phase at each receive antenna via analog hardware, and using these estimates for beamforming. To enable such non-trivial operation, two reference tone recovery techniques and a novel receiver architecture for PACE are proposed and analyzed, both theoretically and via simulations. The results suggest that in sparse, wide-band channels and above a certain signal-to-noise ratio, PACE-aided beamforming suffers only a small loss in beamforming gain and enjoys a much lower CE overhead, in comparison to conventional approaches. The benefits of using PACE-aided beamforming during the initial access phase are also discussed.

[1]  Robert W. Heath,et al.  Spatially Sparse Precoding in Millimeter Wave MIMO Systems , 2013, IEEE Transactions on Wireless Communications.

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

[3]  B S Sonde,et al.  ACQUISITION TIME IMPROVEMENT OF PLL' USING SOME AIDING FUNCTIONS. , 2013 .

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

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

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

[7]  Giuseppe Caire,et al.  Joint Spatial Division and Multiplexing—The Large-Scale Array Regime , 2013, IEEE Transactions on Information Theory.

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

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

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

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

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

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

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

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

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

[17]  Amit Mehrotra,et al.  Noise analysis of phase-locked loops , 2000, IEEE/ACM International Conference on Computer Aided Design. ICCAD - 2000. IEEE/ACM Digest of Technical Papers (Cat. No.00CH37140).

[18]  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..

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

[20]  R. Hoctor,et al.  Delay-hopped transmitted-reference RF communications , 2002, 2002 IEEE Conference on Ultra Wideband Systems and Technologies (IEEE Cat. No.02EX580).

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

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

[23]  Shidong Zhou,et al.  Fast Analog Beam Tracking in Phased Antenna Arrays: Theory and Performance. , 2017 .

[24]  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.

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

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

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

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

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

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

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

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

[33]  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.

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

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

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

[37]  David G. Messerschmitt Frequency Detectors for PLL Acquisition in Timing and Carrier Recovery , 1979, IEEE Trans. Commun..

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

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

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

[41]  J. H. Schrader,et al.  A phase-lock receiver for the arraying of independently directed antennas , 1964 .

[42]  S.C. Gupta,et al.  Phase-locked loops , 1975, Proceedings of the IEEE.

[43]  Zhengang Pan,et al.  Alternating beamforming methods for hybrid analog and digital MIMO transmission , 2015, 2015 IEEE International Conference on Communications (ICC).

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

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

[46]  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.

[47]  S L Jansen,et al.  Analysis of RF-Pilot-Based Phase Noise Compensation for Coherent Optical OFDM Systems , 2010, IEEE Photonics Technology Letters.

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

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

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

[51]  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).

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

[53]  J. H. Schrader Receiving System Design for the Arraying of Independently Steerable Antennas , 1962, IRE Transactions on Space Electronics and Telemetry.

[54]  A. Viterbi Phase-locked loop dynamics in the presence of noise by Fokker-Planck techniques , 1963 .

[55]  Patrick Robertson,et al.  Analysis of the effects of phase-noise in orthogonal frequency division multiplex (OFDM) systems , 1995, Proceedings IEEE International Conference on Communications ICC '95.

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

[57]  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).

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

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

[60]  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.

[61]  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).

[62]  A.F. Molisch,et al.  Variable-phase-shift-based RF-baseband codesign for MIMO antenna selection , 2005, IEEE Transactions on Signal Processing.

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

[64]  Bram Nauta,et al.  Phased-array antenna beam squinting related to frequency dependency of delay circuits , 2011, 2011 8th European Radar Conference.

[65]  Vincent K. N. Lau,et al.  Phase Only RF Precoding for Massive MIMO Systems With Limited RF Chains , 2014, IEEE Transactions on Signal Processing.

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