Downlink Performance of Pilot-Reused HetNet With Large-Scale Antenna Arrays

Considering a heterogeneous network where both macro base station (BS) and small cell (SC) nodes are equipped with massive number of antennas, this paper studies the performance for multiple-input multiple-output downlinks when the macro and small cells share the same spectrum, and hence interfere with each other. Suppose that the large-scale antenna arrays at both macro BS and SC nodes employ maximum-ratio transmission (MRT) or zero-forcing transmission (ZFT) precoding, and transmit data streams to served users simultaneously. A new pilot reuse pattern among SCs is proposed for channel estimation. Taking into account imperfect channel state information (CSI), capacity lower bounds for MRT and ZFT are derived, respectively, in closed-form expressions involving only statistical CSI, followed by asymptotic analyses for massive arrays under specific power scaling laws. Subsequently, two user scheduling algorithms, greedy scheduling and asymptotical scheduling algorithm (ASA), are proposed based on derived capacity lower bounds and asymptotic analyses, respectively. ASA is demonstrated to be a near optimal in the asymptotic regime and has low complexity. Finally, the derived closed-form expressions are verified to be accurate predictors of the system performance by Monte Carlo simulations. Numerical results demonstrate the effectiveness of the asymptotic analysis and proposed user scheduling schemes.

[1]  Xiaodai Dong,et al.  Downlink Performance and User Scheduling of HetNet with Large-Scale Antenna Arrays , 2014, 2015 IEEE Global Communications Conference (GLOBECOM).

[2]  Shi Jin,et al.  Rate analysis and pilot reuse design for dense small cell networks , 2015, 2015 IEEE International Conference on Communications (ICC).

[3]  Mohamed-Slim Alouini,et al.  On the Required Number of Antennas in a Point-to-Point Large-but-Finite MIMO System , 2015, 2015 IEEE International Conference on Ubiquitous Wireless Broadband (ICUWB).

[4]  Giuseppe Caire,et al.  Massive MIMO and inter-tier interference coordination , 2014, 2014 Information Theory and Applications Workshop (ITA).

[5]  Mérouane Debbah,et al.  Massive MIMO and small cells: How to densify heterogeneous networks , 2013, 2013 IEEE International Conference on Communications (ICC).

[6]  Shi Jin,et al.  Interference Control Based on Beamforming Coordination for Heterogeneous Network With RRH Deployment , 2015, IEEE Systems Journal.

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

[8]  Thomas L. Marzetta,et al.  Performance of Conjugate and Zero-Forcing Beamforming in Large-Scale Antenna Systems , 2013, IEEE Journal on Selected Areas in Communications.

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

[10]  Xiaodai Dong,et al.  Downlink Performance and User Scheduling of HetNet with Large-Scale Antenna Arrays , 2014, GLOBECOM 2014.

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

[12]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[13]  Hong-Chuan Yang,et al.  Interference Control with Beamforming Coordination for Two-Tier Femtocell Networks and Its Performance Analysis , 2011, 2011 IEEE International Conference on Communications (ICC).

[14]  Antonia Maria Tulino,et al.  Random Matrix Theory and Wireless Communications , 2004, Found. Trends Commun. Inf. Theory.

[15]  Erik G. Larsson,et al.  Multipair massive MIMO full-duplex relaying with MRC/MRT processing , 2014, 2014 IEEE International Conference on Communications (ICC).

[16]  Wei Yu,et al.  Optimizing User Association and Spectrum Allocation in HetNets: A Utility Perspective , 2014, IEEE Journal on Selected Areas in Communications.

[17]  H. Massam,et al.  The complex Wishart distribution and the symmetric group , 2003 .

[18]  Yongbin Wei,et al.  A survey on 3GPP heterogeneous networks , 2011, IEEE Wireless Communications.

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

[20]  T.L. Marzetta,et al.  How Much Training is Required for Multiuser Mimo? , 2006, 2006 Fortieth Asilomar Conference on Signals, Systems and Computers.

[21]  David E. Booth,et al.  Applied Multivariate Analysis , 2003, Technometrics.

[22]  Wei Yu,et al.  Multi-Cell MIMO Cooperative Networks: A New Look at Interference , 2010, IEEE Journal on Selected Areas in Communications.

[23]  End Semester Sta,et al.  RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS , 2014 .

[24]  Jeffrey G. Andrews,et al.  What Will 5G Be? , 2014, IEEE Journal on Selected Areas in Communications.

[25]  Giuseppe Caire,et al.  Massive-MIMO Meets HetNet: Interference Coordination Through Spatial Blanking , 2014, IEEE Journal on Selected Areas in Communications.

[26]  Michail Matthaiou,et al.  Tightness of Jensen’s Bounds and Applications to MIMO Communications , 2017, IEEE Transactions on Communications.

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

[28]  Geoffrey Ye Li,et al.  Energy-Efficient CoMP Precoding in Heterogeneous Networks , 2014, IEEE Transactions on Signal Processing.

[29]  Fredrik Tufvesson,et al.  Linear Pre-Coding Performance in Measured Very-Large MIMO Channels , 2011, 2011 IEEE Vehicular Technology Conference (VTC Fall).

[30]  Stefan Brueck Heterogeneous networks in LTE-Advanced , 2011, 2011 8th International Symposium on Wireless Communication Systems.

[31]  Massive-Element Antenna for Small Cell Solutions in 5 , 2015 .