Spectral Efficiency of Mixed-ADC Massive MIMO

We study the spectral efficiency (SE) of a mixed-analog-to-digital converter (ADC) massive multiple-input multiple-output (MIMO) system in which <inline-formula><tex-math notation="LaTeX">$K$</tex-math></inline-formula> single-antenna users communicate with a base station equipped with <inline-formula><tex-math notation="LaTeX">$M$ </tex-math></inline-formula> antennas connected to <inline-formula><tex-math notation="LaTeX">$N$</tex-math> </inline-formula> high-resolution ADCs and <inline-formula><tex-math notation="LaTeX">$M-N$</tex-math></inline-formula> 1-b ADCs. This architecture has been proposed as an approach for realizing massive MIMO systems with reasonable power consumption. First, we investigate the effectiveness of mixed-ADC architectures in overcoming the channel estimation error caused by coarse quantization. For the channel estimation phase, we study to what extent one can combat the SE loss by exploiting just <inline-formula><tex-math notation="LaTeX">$N\ll M$</tex-math></inline-formula> pairs of high-resolution ADCs. We extend the round-robin training scheme for mixed-ADC systems to include both high-resolution and 1-b quantized observations. Then, we analyze the impact of the resulting channel estimation error in the data detection phase. We consider random high-resolution ADC assignment and also analyze a simple antenna selection scheme to increase the SE. Analytical expressions are derived for the SE for maximum ratio combining and numerical results are presented for zero-forcing detection. Performance comparisons are made against systems with uniform ADC resolution and against mixed-ADC systems without round-robin training to illustrate under what conditions each approach provides the greatest benefit.

[1]  Thomas Kaiser,et al.  Massive MIMO Antenna Selection: Switching Architectures, Capacity Bounds, and Optimal Antenna Selection Algorithms , 2018, IEEE Transactions on Signal Processing.

[2]  H. A. David,et al.  Order Statistics (2nd ed). , 1981 .

[3]  Saralees Nadarajah,et al.  Explicit expressions for moments of gamma order statistics , 2008 .

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

[5]  Erik G. Larsson,et al.  Impact of Spatial Filtering on Distortion From Low-Noise Amplifiers in Massive MIMO Base Stations , 2017, IEEE Transactions on Communications.

[6]  Erik G. Larsson,et al.  Massive MIMO With Optimal Power and Training Duration Allocation , 2014, IEEE Wireless Communications Letters.

[7]  A. Lee Swindlehurst,et al.  On the Optimality of Mixed-ADC Massive MIMO with MRC Detection , 2017, WSA.

[8]  Shi Jin,et al.  Spectral efficiency for massive MIMO zero-forcing receiver with low-resolution ADC , 2016, 2016 8th International Conference on Wireless Communications & Signal Processing (WCSP).

[9]  Tao Jiang,et al.  Mixed-ADC Massive MIMO Detectors: Performance Analysis and Design Optimization , 2015, IEEE Transactions on Wireless Communications.

[10]  Yoshio Karasawa,et al.  Some Applications of Lauricella Hypergeometric Function F_A in Performance Analysis of Wireless Communications , 2012, IEEE Communications Letters.

[11]  Erik G. Larsson,et al.  Uplink Performance of Wideband Massive MIMO With One-Bit ADCs , 2016, IEEE Transactions on Wireless Communications.

[12]  Shi Jin,et al.  Uplink Achievable Rate for Massive MIMO Systems With Low-Resolution ADC , 2015, IEEE Communications Letters.

[13]  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.

[14]  Shi Jin,et al.  Performance Analysis of Mixed-ADC Massive MIMO Systems Over Rician Fading Channels , 2017, IEEE Journal on Selected Areas in Communications.

[15]  Giuseppe Durisi,et al.  Quantized Massive MU-MIMO-OFDM Uplink , 2015, IEEE Transactions on Communications.

[16]  Julian J. Bussgang,et al.  Crosscorrelation functions of amplitude-distorted gaussian signals , 1952 .

[17]  G. A. Mack,et al.  Order Statistics (2nd Ed.) , 1983 .

[18]  Shi Jin,et al.  Spectral Efficiency of Mixed-ADC Receivers for Massive MIMO Systems , 2016, IEEE Access.

[19]  Robert W. Heath,et al.  Optimization of Mixed-ADC Multi-Antenna Systems for Cloud-RAN Deployments , 2017, IEEE Transactions on Communications.

[20]  Erik G. Larsson,et al.  Multi-Switch for Antenna Selection in Massive MIMO , 2014, 2015 IEEE Global Communications Conference (GLOBECOM).

[21]  Erik G. Larsson,et al.  Waveforms for the Massive MIMO Downlink: Amplifier Efficiency, Distortion, and Performance , 2015, IEEE Transactions on Communications.

[22]  Emil Björnson,et al.  Massive MIMO with Non-Ideal Arbitrary Arrays: Hardware Scaling Laws and Circuit-Aware Design , 2014, IEEE Transactions on Wireless Communications.

[23]  Emil Björnson,et al.  Massive MIMO Systems With Non-Ideal Hardware: Energy Efficiency, Estimation, and Capacity Limits , 2013, IEEE Transactions on Information Theory.

[24]  Geoffrey Ye Li,et al.  An Overview of Massive MIMO: Benefits and Challenges , 2014, IEEE Journal of Selected Topics in Signal Processing.

[25]  Liang Liu,et al.  When Are Low Resolution ADCs Energy Efficient in Massive MIMO? , 2017, IEEE Access.

[26]  Emil Björnson,et al.  Hardware design and optimal ADC resolution for uplink massive MIMO systems , 2016, 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM).

[27]  Andrew Le Fevre,et al.  A 100Mb/sec. Multi-LAN Crosspoint Chip Set For Cable Management , 1996, ESSCIRC '96: Proceedings of the 22nd European Solid-State Circuits Conference.

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

[29]  A. Lee Swindlehurst,et al.  Analysis of MRC for Mixed-ADC massive MIMO , 2017, 2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP).

[30]  Wenyi Zhang,et al.  Mixed-ADC Massive MIMO , 2015, IEEE Journal on Selected Areas in Communications.

[31]  Robert W. Heath,et al.  Capacity Analysis of One-Bit Quantized MIMO Systems With Transmitter Channel State Information , 2014, IEEE Transactions on Signal Processing.

[32]  Josef A. Nossek,et al.  A Comparison of Hybrid Beamforming and Digital Beamforming With Low-Resolution ADCs for Multiple Users and Imperfect CSI , 2017, IEEE Journal of Selected Topics in Signal Processing.

[33]  Emil Björnson,et al.  Massive MIMO for Maximal Spectral Efficiency: How Many Users and Pilots Should Be Allocated? , 2014, IEEE Transactions on Wireless Communications.

[34]  Cheng Tao,et al.  Channel Estimation and Performance Analysis of One-Bit Massive MIMO Systems , 2016, IEEE Transactions on Signal Processing.

[35]  Erik G. Larsson,et al.  Out-of-Band Radiation from Large Antenna Arrays , 2016, IEEE Communications Magazine.

[36]  Michail Matthaiou,et al.  Optimal pilot length for uplink massive MIMO systems with low-resolution ADC , 2016, 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM).

[37]  Sven Jacobsson,et al.  Throughput Analysis of Massive MIMO Uplink With Low-Resolution ADCs , 2016, IEEE Transactions on Wireless Communications.

[38]  Linglong Dai,et al.  On the Spectral Efficiency of Massive MIMO Systems With Low-Resolution ADCs , 2015, IEEE Communications Letters.

[39]  Christos Masouros,et al.  Reduced Switching Connectivity for Large Scale Antenna Selection , 2016, IEEE Transactions on Communications.

[40]  Jian Liu,et al.  Multiuser Massive MIMO Relaying With Mixed-ADC Receiver , 2017, IEEE Signal Processing Letters.

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

[42]  A. Lee Swindlehurst,et al.  Spectral Efficiency under Energy Constraint for Mixed-ADC MRC Massive MIMO , 2017, IEEE Signal Processing Letters.

[43]  Erik G. Larsson,et al.  Massive MIMO for next generation wireless systems , 2013, IEEE Communications Magazine.

[44]  Erik G. Larsson,et al.  Spatial Characteristics of Distortion Radiated From Antenna Arrays With Transceiver Nonlinearities , 2017, IEEE Transactions on Wireless Communications.

[45]  Wenyi Zhang,et al.  Mixed-ADC Massive MIMO Uplink in Frequency-Selective Channels , 2016, IEEE Transactions on Communications.

[46]  Qing Bai,et al.  Energy efficiency maximization for 5G multi‐antenna receivers , 2015, Trans. Emerg. Telecommun. Technol..

[47]  Alessandro Neri,et al.  Estimation of the autocorrelation function of complex Gaussian stationary processes by amplitude clipped signals , 1994, IEEE Trans. Inf. Theory.