Throughput Analysis of Dense Multi-Antenna Downlink Cellular Networks With CSIT Errors

This letter investigates the throughput of a dense multi-antenna network in the presence of channel state information (CSI) errors at transmitter. The Gauss–Markov auto-regressive model is put forth to characterize CSI errors. We focus on a class of cases that the variance of CSI error is independent of serving distances between users and BSs. An original expression for area spectral efficiency (ASE) is derived with the tools of stochastic geometry. Based on the expectations of effective channel gains, a more tractable approximation for ASE is further obtained. With the help of the tractable approximation, we consider the optimization problem for ASE maximization with respect to the number of active users. We demonstrate that ASE scales linearly with the number of antennas when the number of antennas is larger than a certain value. The CSI errors determine the increasing slope.

[1]  Jeffrey G. Andrews,et al.  Success Probability and Area Spectral Efficiency in Multiuser MIMO HetNets , 2016, IEEE Transactions on Communications.

[2]  David Gesbert,et al.  Coordinated beamforming in multicell networks with Channel State Information exchange delays , 2013, 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[3]  Jeffrey G. Andrews,et al.  Downlink SDMA with Limited Feedback in Interference-Limited Wireless Networks , 2012, IEEE Transactions on Wireless Communications.

[4]  Jeffrey G. Andrews,et al.  On the Optimal Feedback Rate in Interference-Limited Multi-Antenna Cellular Systems , 2016, IEEE Transactions on Wireless Communications.

[5]  Min Sheng,et al.  Limitation of SDMA in Ultra-Dense Small Cell Networks , 2018, IEEE Wireless Communications Letters.

[6]  Ling Qiu,et al.  Area Spectral Efficiency Analysis of Multi-Antenna Two-Tier Cellular Networks , 2016, IEEE Communications Letters.

[7]  Wei Yu,et al.  A Stochastic Analysis of Network MIMO Systems , 2016, IEEE Transactions on Signal Processing.

[8]  Caijun Zhong,et al.  Exploiting Multiple-Antenna Techniques for Non-Orthogonal Multiple Access , 2017, IEEE Journal on Selected Areas in Communications.

[9]  Khairi Ashour Hamdi,et al.  A useful lemma for capacity analysis of fading interference channels , 2010, IEEE Transactions on Communications.

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

[11]  Jeffrey G. Andrews,et al.  Downlink MIMO HetNets: Modeling, Ordering Results and Performance Analysis , 2013, IEEE Transactions on Wireless Communications.

[12]  Mohamed-Slim Alouini,et al.  Power Control for D2D Underlay Cellular Networks With Channel Uncertainty , 2017, IEEE Transactions on Wireless Communications.

[13]  Marco Di Renzo,et al.  Stochastic geometry analysis of multi-user MIMO cellular networks using Zero-Forcing precoding , 2015, 2015 IEEE International Conference on Communications (ICC).

[14]  Tharmalingam Ratnarajah,et al.  Toward a Realistic Assessment of Multiple Antenna HCNs: Residual Additive Transceiver Hardware Impairments and Channel Aging , 2017, IEEE Transactions on Vehicular Technology.