Downlink Training Techniques for FDD Massive MIMO Systems: Open-Loop and Closed-Loop Training With Memory

The concept of deploying a large number of antennas at the base station, often called massive multiple-input multiple-output (MIMO), has drawn considerable interest because of its potential ability to revolutionize current wireless communication systems. Most literature on massive MIMO systems assumes time division duplexing (TDD), although frequency division duplexing (FDD) dominates current cellular systems. Due to the large number of transmit antennas at the base station, currently standardized approaches would require a large percentage of the precious downlink and uplink resources in FDD massive MIMO be used for training signal transmissions and channel state information (CSI) feedback. To reduce the overhead of the downlink training phase, we propose practical open-loop and closed-loop training frameworks in this paper. We assume the base station and the user share a common set of training signals in advance. In open-loop training, the base station transmits training signals in a round-robin manner, and the user successively estimates the current channel using long-term channel statistics such as temporal and spatial correlations and previous channel estimates. In closed-loop training, the user feeds back the best training signal to be sent in the future based on channel prediction and the previously received training signals. With a small amount of feedback from the user to the base station, closed-loop training offers better performance in the data communication phase, especially when the signal-to-noise ratio is low, the number of transmit antennas is large, or prior channel estimates are not accurate at the beginning of the communication setup, all of which would be mostly beneficial for massive MIMO systems.

[1]  J. Pierce,et al.  Multiple Diversity with Nonindependent Fading , 1960, Proceedings of the IRE.

[2]  I. Olkin,et al.  Inequalities: Theory of Majorization and Its Applications , 1980 .

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

[4]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[5]  A. Robert Calderbank,et al.  Space-Time Codes for High Data Rate Wireless Communications : Performance criterion and Code Construction , 1998, IEEE Trans. Inf. Theory.

[6]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[7]  Titus K. Y. Lo Maximum ratio transmission , 1999, IEEE Trans. Commun..

[8]  A. Robert Calderbank,et al.  Space-Time block codes from orthogonal designs , 1999, IEEE Trans. Inf. Theory.

[9]  Richard D. Wesel,et al.  Multi-input multi-output fading channel tracking and equalization using Kalman estimation , 2002, IEEE Trans. Signal Process..

[10]  Marc S. Paolella Computing moments of ratios of quadratic forms in normal variables , 2003, Comput. Stat. Data Anal..

[11]  Babak Hassibi,et al.  How much training is needed in multiple-antenna wireless links? , 2003, IEEE Trans. Inf. Theory.

[12]  Robert W. Heath,et al.  Grassmannian beamforming for multiple-input multiple-output wireless systems , 2003, IEEE Trans. Inf. Theory.

[13]  Akbar M. Sayeed,et al.  Transmit signal design for optimal estimation of correlated MIMO channels , 2004, IEEE Transactions on Signal Processing.

[14]  Jiann-Ching Guey,et al.  Modeling and evaluation of MIMO systems exploiting channel reciprocity in TDD mode , 2004, IEEE 60th Vehicular Technology Conference, 2004. VTC2004-Fall. 2004.

[15]  Lars Häring,et al.  Robust uplink to downlink spatial covariance matrix transformation for downlink beamforming , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[16]  Simon Haykin,et al.  Improved bayesian MIMO channel tracking for wireless communications: incorporating a dynamical model , 2006, IEEE Transactions on Wireless Communications.

[17]  Robert W. Heath,et al.  An overview of limited feedback in wireless communication systems , 2008, IEEE Journal on Selected Areas in Communications.

[18]  Michael L. Honig,et al.  On optimal training and beamforming in uncorrelated MIMO systems with feedback , 2008, 2008 42nd Annual Conference on Information Sciences and Systems.

[19]  C. Baker RIEMANNIAN MANIFOLD TRUST-REGION METHODS WITH APPLICATIONS TO EIGENPROBLEMS , 2008 .

[20]  Michael L. Honig,et al.  Optimization of Training and Feedback Overhead for Beamforming Over Block Fading Channels , 2010, IEEE Transactions on Information Theory.

[21]  Emil Björnson,et al.  A Framework for Training-Based Estimation in Arbitrarily Correlated Rician MIMO Channels With Rician Disturbance , 2010, IEEE Transactions on Signal Processing.

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

[23]  Thomas L. Marzetta,et al.  Pilot Contamination and Precoding in Multi-Cell TDD Systems , 2009, IEEE Transactions on Wireless Communications.

[24]  Bruno Clerckx,et al.  MIMO Systems with Limited Rate Differential Feedback in Slowly Varying Channels , 2011, IEEE Transactions on Communications.

[25]  Bruno Clerckx,et al.  A New Design of Polar-Cap Differential Codebook for Temporally/Spatially Correlated MISO Channels , 2012, IEEE Transactions on Wireless Communications.

[26]  Michael D. Zoltowski,et al.  Optimal pilot beam pattern design for massive MIMO systems , 2013, 2013 Asilomar Conference on Signals, Systems and Computers.

[27]  Mérouane Debbah,et al.  Massive MIMO in the UL/DL of Cellular Networks: How Many Antennas Do We Need? , 2013, IEEE Journal on Selected Areas in Communications.

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

[29]  Linglong Dai,et al.  Spectrally Efficient Time-Frequency Training OFDM for Mobile Large-Scale MIMO Systems , 2013, IEEE Journal on Selected Areas in Communications.

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

[31]  David James Love,et al.  Noncoherent Trellis Coded Quantization: A Practical Limited Feedback Technique for Massive MIMO Systems , 2013, IEEE Transactions on Communications.

[32]  David Gesbert,et al.  A Coordinated Approach to Channel Estimation in Large-Scale Multiple-Antenna Systems , 2012, IEEE Journal on Selected Areas in Communications.

[33]  David James Love,et al.  A closed-loop training approach for massive MIMO beamforming systems , 2013, 2013 47th Annual Conference on Information Sciences and Systems (CISS).

[34]  Emil Björnson,et al.  Massive MIMO Systems With Non-Ideal Hardware: Energy Efficiency, Estimation, and Capacity Limits , 2013, IEEE Transactions on Information Theory.

[35]  Christoph Meinel,et al.  Digital Communication , 2014, X.media.publishing.

[36]  Ralf R. Müller,et al.  Blind Pilot Decontamination , 2013, IEEE Journal of Selected Topics in Signal Processing.

[37]  Michael D. Zoltowski,et al.  Pilot Beam Pattern Design for Channel Estimation in Massive MIMO Systems , 2013, IEEE Journal of Selected Topics in Signal Processing.

[38]  James V. Krogmeier,et al.  Closed-Loop Beam Alignment for Massive MIMO Channel Estimation , 2013, IEEE Communications Letters.

[39]  Erik G. Larsson,et al.  Uplink Performance of Time-Reversal MRC in Massive MIMO Systems Subject to Phase Noise , 2013, IEEE Transactions on Wireless Communications.

[40]  Shobhit Maheshwari,et al.  Energy and Spectral Efficiency of Very Large Multiuser MIMO Systems , 2015 .

[41]  David James Love,et al.  Trellis-Extended Codebooks and Successive Phase Adjustment: A Path From LTE-Advanced to FDD Massive MIMO Systems , 2014, IEEE Transactions on Wireless Communications.