Composite Channel Estimation in Massive MIMO Systems

We consider a multiuser (MU) multiple-input multiple-output (MIMO) time-division duplexing (TDD) system in which the base station (BS) is equipped with a large number of antennas for communicating with single-antenna mobile users. In such a system the BS has to estimate the channel state information (CSI) that includes large-scale fading coefficients (LSFCs) and small-scale fading coefficients (SSFCs) by uplink pilots. Although information about the former FCs are indispensable in a MU-MIMO or distributed MIMO system, they are usually ignored or assumed perfectly known when treating the MIMO CSI estimation problem. We take advantage of the large spatial samples of a massive MIMO BS to derive accurate LSFC estimates in the absence of SSFC information. With estimated LSFCs, SSFCs are then obtained using a rank-reduced (RR) channel model which in essence transforms the channel vector into a lower dimension representation. We analyze the mean squared error (MSE) performance of the proposed composite channel estimator and prove that the separable angle of arrival (AoA) information provided by the RR model is beneficial for enhancing the estimator's performance, especially when the angle spread of the uplink signal is not too large.

[1]  Cheng-Xiang Wang,et al.  Spatial-Temporal Correlation Properties of the 3GPP Spatial Channel Model and the Kronecker MIMO Channel Model , 2007, EURASIP J. Wirel. Commun. Netw..

[2]  Joseph M. Kahn,et al.  Fading correlation and its effect on the capacity of multielement antenna systems , 2000, IEEE Trans. Commun..

[3]  Alan V. Oppenheim,et al.  Discrete-Time Signal Pro-cessing , 1989 .

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

[5]  Sean A. Ramprashad,et al.  Achieving "Massive MIMO" Spectral Efficiency with a Not-so-Large Number of Antennas , 2011, IEEE Transactions on Wireless Communications.

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

[7]  Alex B. Gershman,et al.  Training-based MIMO channel estimation: a study of estimator tradeoffs and optimal training signals , 2006, IEEE Transactions on Signal Processing.

[8]  Sailes K. Sengijpta Fundamentals of Statistical Signal Processing: Estimation Theory , 1995 .

[9]  Fredrik Tufvesson,et al.  Measured propagation characteristics for very-large MIMO at 2.6 GHz , 2012, 2012 Conference Record of the Forty Sixth Asilomar Conference on Signals, Systems and Computers (ASILOMAR).

[10]  Ernst Bonek,et al.  A stochastic MIMO channel model with joint correlation of both link ends , 2006, IEEE Transactions on Wireless Communications.

[11]  R. Couillet,et al.  Random Matrix Methods for Wireless Communications: Estimation , 2011 .

[12]  Thomas L. Marzetta,et al.  Pilot contamination problem in multi-cell TDD systems , 2009, 2009 IEEE International Symposium on Information Theory.

[13]  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.

[14]  Erik G. Larsson,et al.  Performance analysis of large scale MU-MIMO with optimal linear receivers , 2012, 2012 Swedish Communication Technologies Workshop (Swe-CTW).

[15]  N. Ahmed,et al.  Discrete Cosine Transform , 1996 .

[16]  Yujun Kuang,et al.  Large scale MIMO transmission technology in the architecture of cloud base-station , 2012, 2012 IEEE Globecom Workshops.

[17]  R. Haddad,et al.  Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets , 1992 .

[18]  Preben E. Mogensen,et al.  A stochastic MIMO radio channel model with experimental validation , 2002, IEEE J. Sel. Areas Commun..

[19]  Akbar M. Sayeed,et al.  Deconstructing multiantenna fading channels , 2002, IEEE Trans. Signal Process..

[20]  K. R. Rao,et al.  The Transform and Data Compression Handbook , 2000 .

[21]  J. W. Silverstein,et al.  Spectral Analysis of Large Dimensional Random Matrices , 2009 .

[22]  V. Lau,et al.  Technical Report : Joint Power and Antenna Selection Optimization in Large Distributed MIMO Networks , 2012 .

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

[24]  M. Kießling,et al.  MIMO channel estimation in correlated fading environments , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).

[25]  Cedric E. Ginestet Spectral Analysis of Large Dimensional Random Matrices, 2nd edn , 2012 .