Channel Estimation Under Staggered Frame Structure for Massive MIMO System

In this paper, a staggered frame structure is proposed for single-cell massive multiple-input multiple-output (MIMO) systems, and the key idea is that different users transmit training pilots at nonoverlapped time. As a result, users do not have to be synchronized strictly to send pilots and orthogonal pilots are not required. Moreover, we also propose two interference suppressed channel estimation methods, i.e., the linear minimum mean square error (LMMSE)-based and orthogonal projection based least squares (OPLS) methods for the staggered frame structure. Specifically, the LMMSE-based method minimizes the mean square error of the estimation, whereas the OPLS method only estimates the part of the user's channel response that is orthogonal to the other users. All conducted simulation results demonstrate that the massive MIMO system with the both proposed methods can achieve high average achievable rate. Furthermore, when the conjugate beamforming is employed, the massive MIMO system could obtain even higher average achievable data rate with the proposed OPLS method than that of the system with perfect channel state information. Moreover, the computational complexity of the proposed OPLS method is very low.

[1]  Long Bao Le,et al.  Pilot optimization and channel estimation for multiuser massive MIMO systems , 2014, 2014 48th Annual Conference on Information Sciences and Systems (CISS).

[2]  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.

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

[4]  Emil Björnson,et al.  Low-Complexity Polynomial Channel Estimation in Large-Scale MIMO With Arbitrary Statistics , 2014, IEEE Journal of Selected Topics in Signal Processing.

[5]  Sébastien Roy,et al.  Channel estimation using time-shifted pilot sequences in non-cooperative cellular TDD networks with large antenna arrays , 2013, 2013 Asilomar Conference on Signals, Systems and Computers.

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

[7]  Lee D. Davisson,et al.  An Introduction To Statistical Signal Processing , 2004 .

[8]  David Gesbert,et al.  Decontaminating pilots in massive MIMO systems , 2013, 2013 IEEE International Conference on Communications (ICC).

[9]  Thomas L. Marzetta,et al.  Inter-Cell Interference in Noncooperative TDD Large Scale Antenna Systems , 2013, IEEE Journal on Selected Areas in Communications.

[10]  Shi Jin,et al.  Channel Estimation for Massive MIMO Using Gaussian-Mixture Bayesian Learning , 2015, IEEE Transactions on Wireless Communications.

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

[12]  Kai-Kit Wong,et al.  On Massive MIMO Zero-Forcing Transceiver Using Time-Shifted Pilots , 2016, IEEE Transactions on Vehicular Technology.

[13]  Li Ping,et al.  Data-aided channel estimation in large antenna systems , 2014, 2014 IEEE International Conference on Communications (ICC).

[14]  Moon Ho Lee,et al.  A fast channel estimation and the reduction of pilot contamination problem for massive MIMO based on a diagonal Jacket matrix , 2013, 2013 4th International Workshop on Fiber Optics in Access Network (FOAN).

[15]  Shi Jin,et al.  Ergodic Rate Analysis for Multipair Massive MIMO Two-Way Relay Networks , 2015, IEEE Transactions on Wireless Communications.

[16]  Erik G. Larsson,et al.  EVD-based channel estimation in multicell multiuser MIMO systems with very large antenna arrays , 2012, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).