Uplink Multi-User Massive MIMO Using Gaussian BP in Highly Correlated Actual Environments

This paper focuses on multi-user detection in uplink Massive multiple-input multiple-output (MIMO) systems. As a low computational complexity signal detection algorithm, matched filter (MF)-based Gaussian belief propagation (MF-GaBP) using adaptively scaled belief (ASB) has been proposed. In addition, to suppress the negative impact of spatial correlation, an MMSE detector is introduced as the prior stage processing of MF-GaBP. Through computer simulations, this algorithm exhibits high performance even in high- spatially loaded Massive MIMO scenarios. However, in actual radio environments, there is a possibility to observe an extremely high channel correlation among some antenna elements or some users due to co-located polarization antenna elements or closely deployed mobile stations (MS). The highly correlated channel results in the performance degradation of MF-GaBP using ASB because of the low reliability of initial beliefs. This paper aims to verify the performances of MF- GaBP in the actual radio environments. The predetermined parameters in MF- GaBP are also adjusted according to actual environments for improving the convergence property of the iterative detection. To obtain propagation channel data for performance evaluation in the actual environments, an indoor experimental trial using Massive MMO equipment with 32 antenna elements was carried out under a condition that 16 MSs are closely deployed. Computer simulations using the obtained propagation channel data validate that simply applying the MMSE detector before MF-GaBP with ASB suppress an error floor in the bit error rate (BER) performance even in highly correlated channel.

[1]  Akbar M. Sayeed,et al.  Beamspace MIMO for Millimeter-Wave Communications: System Architecture, Modeling, Analysis, and Measurements , 2013, IEEE Transactions on Antennas and Propagation.

[2]  Robert W. Heath,et al.  Low complexity precoding for large millimeter wave MIMO systems , 2012, 2012 IEEE International Conference on Communications (ICC).

[3]  Pablo M. Olmos,et al.  Expectation Propagation Detection for High-Order High-Dimensional MIMO Systems , 2014, IEEE Transactions on Communications.

[4]  B. Rajan,et al.  Improved large-MIMO detection based on damped belief propagation , 2010, 2010 IEEE Information Theory Workshop on Information Theory (ITW 2010, Cairo).

[5]  Andrea Montanari,et al.  Message-passing algorithms for compressed sensing , 2009, Proceedings of the National Academy of Sciences.

[6]  Shinsuke Ibi,et al.  Design of Criterion for Adaptively Scaled Belief in Iterative Large MIMO Detection , 2019, IEICE Trans. Commun..

[7]  Andrea Montanari,et al.  The dynamics of message passing on dense graphs, with applications to compressed sensing , 2010, ISIT.

[8]  Antti Tölli,et al.  Layered Belief Propagation for Low-Complexity Large MIMO Detection Based on Statistical Beams , 2018, ICC 2019 - 2019 IEEE International Conference on Communications (ICC).

[9]  Lei Liu,et al.  Convergence Analysis and Assurance for Gaussian Message Passing Iterative Detector in Massive MU-MIMO Systems , 2016, IEEE Transactions on Wireless Communications.

[10]  Md Saifur Rahman,et al.  Multi-user MIMO strategies for a millimeter wave communication system using hybrid beam-forming , 2015, 2015 IEEE International Conference on Communications (ICC).

[11]  Toshiyuki Tanaka,et al.  A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors , 2002, IEEE Trans. Inf. Theory.

[12]  Hiroshi Suzuki,et al.  Evaluation of 30 Gbps super high bit rate mobile communications using channel data in 11 GHz band 24×24 MIMO experiment , 2014, 2014 IEEE International Conference on Communications (ICC).

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

[14]  Toshihiko Nishimura,et al.  Node Selection for Belief Propagation Based Channel Equalization , 2017, IEICE Trans. Commun..

[15]  Keigo Takeuchi,et al.  Rigorous Dynamics of Expectation-Propagation-Based Signal Recovery from Unitarily Invariant Measurements , 2020, IEEE Transactions on Information Theory.