Supervised-Learning-Aided Communication Framework for MIMO Systems With Low-Resolution ADCs

This paper considers a multiple-input multiple-output system with low-resolution analog-to-digital converters (ADCs). In this system, we propose a novel communication framework that is inspired by supervised learning. The key idea of the proposed framework is to learn the nonlinear input–output system, formed by the concatenation of a wireless channel and a quantization function used at the ADCs for data detection. In this framework, a conventional channel estimation process is replaced by a system learning process, in which the conditional probability mass functions (PMFs) of the nonlinear system are empirically learned by sending the repetitions of all possible data signals as pilot signals. Then, the subsequent data detection process is performed based on the empirical conditional PMFs obtained during the system learning. To reduce both the training overhead and the detection complexity, we also develop a supervised-learning-aided successive-interference-cancellation method. In this method, a data signal vector is divided into two subvectors with reduced dimensions. Then, these two subvectors are successively detected based on the conditional PMFs that are learned using artificial noise signals and an estimated channel. For the case of 1-bit ADCs, we derive an analytical expression for the vector error rate of the proposed framework under perfect channel knowledge at the receiver. Simulations demonstrate the detection error reduction of the proposed framework compared to conventional detection techniques that are based on channel estimation.

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

[2]  Wei-Ho Chung,et al.  A Reduced-Complexity Blind Detector for MIMO System Using K-Means Clustering Algorithm , 2013, 2013 IEEE 77th Vehicular Technology Conference (VTC Spring).

[3]  Hai Lin,et al.  A New View of Multi-User Hybrid Massive MIMO: Non-Orthogonal Angle Division Multiple Access , 2017, IEEE Journal on Selected Areas in Communications.

[4]  J. Pelikán,et al.  Discrete Mathematics: Elementary and Beyond , 2003 .

[5]  A. Lee Swindlehurst,et al.  Millimeter-wave massive MIMO: the next wireless revolution? , 2014, IEEE Communications Magazine.

[6]  Robert W. Heath,et al.  One-Bit Sphere Decoding for Uplink Massive MIMO Systems With One-Bit ADCs , 2017, IEEE Transactions on Wireless Communications.

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

[8]  Erik G. Larsson,et al.  One-bit ADCs in wideband massive MIMO systems with OFDM transmission , 2016, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[9]  Robert W. Heath,et al.  Channel estimation in millimeter wave MIMO systems with one-bit quantization , 2014, 2014 48th Asilomar Conference on Signals, Systems and Computers.

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

[11]  David G. Messerschmitt,et al.  Quantizing for maximum output entropy (Corresp.) , 1971, IEEE Trans. Inf. Theory.

[12]  Robert W. Heath,et al.  Adaptation in Convolutionally Coded MIMO-OFDM Wireless Systems Through Supervised Learning and SNR Ordering , 2010, IEEE Transactions on Vehicular Technology.

[13]  Lajos Hanzo,et al.  Particle swarm optimisation aided semi-blind joint maximum likelihood channel estimation and data detection for MIMO systems , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

[14]  Erik G. Larsson,et al.  Massive MIMO with 1-bit ADC , 2014, ArXiv.

[15]  Josef A. Nossek,et al.  Capacity and coding for quantized MIMO systems , 2006, IWCMC '06.

[16]  Namyoon Lee,et al.  Blind detection for MIMO systems with low-resolution ADCs using supervised learning , 2016, 2017 IEEE International Conference on Communications (ICC).

[17]  David James Love,et al.  Quantized Distributed Reception for MIMO Wireless Systems Using Spatial Multiplexing , 2015, IEEE Transactions on Signal Processing.

[18]  Namyoon Lee,et al.  MIMO systems with low-resolution ADCs: Linear coding approach , 2016, 2017 IEEE International Conference on Communications (ICC).

[19]  Josef A. Nossek,et al.  Circuit aware design of power-efficient short range communication systems , 2010, 2010 7th International Symposium on Wireless Communication Systems.

[20]  Robert W. Heath,et al.  A Supervised Learning Approach to Adaptation in Practical MIMO-OFDM Wireless Systems , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

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

[22]  Namyoon Lee,et al.  A Weighted Minimum Distance Decoding for Uplink Multiuser MIMO Systems With Low-Resolution ADCs , 2018, IEEE Transactions on Communications.

[23]  Robert W. Heath,et al.  Near Maximum-Likelihood Detector and Channel Estimator for Uplink Multiuser Massive MIMO Systems With One-Bit ADCs , 2015, IEEE Transactions on Communications.

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

[25]  Xiaohu You,et al.  Efficient Low-Resolution ADC Relaying for Multiuser Massive MIMO System , 2017, IEEE Transactions on Vehicular Technology.

[26]  Stephan ten Brink,et al.  On deep learning-based channel decoding , 2017, 2017 51st Annual Conference on Information Sciences and Systems (CISS).

[27]  Robert H. Walden,et al.  Analog-to-digital converter survey and analysis , 1999, IEEE J. Sel. Areas Commun..

[28]  Lang Tong,et al.  Blind identification and equalization based on second-order statistics: a time domain approach , 1994, IEEE Trans. Inf. Theory.

[29]  Jing Wang,et al.  Multiuser Detection in Massive Spatial Modulation MIMO With Low-Resolution ADCs , 2015, IEEE Transactions on Wireless Communications.

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

[31]  Sven Jacobsson,et al.  One-bit massive MIMO: Channel estimation and high-order modulations , 2015, 2015 IEEE International Conference on Communication Workshop (ICCW).

[32]  Yunzhou Li,et al.  Convex optimization based multiuser detection for uplink large-scale MIMO under low-resolution quantization , 2014, 2014 IEEE International Conference on Communications (ICC).

[33]  Shi Jin,et al.  Bayes-Optimal Joint Channel-and-Data Estimation for Massive MIMO With Low-Precision ADCs , 2015, IEEE Transactions on Signal Processing.

[34]  H. Bolcskei,et al.  Blind channel estimation in spatial multiplexing systems using nonredundant antenna precoding , 1999, Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers (Cat. No.CH37020).

[35]  Yair Be'ery,et al.  Learning to decode linear codes using deep learning , 2016, 2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[36]  Upamanyu Madhow,et al.  On the limits of communication with low-precision analog-to-digital conversion at the receiver , 2009, IEEE Transactions on Communications.

[37]  Josef A. Nossek,et al.  On Ultra-Wideband MIMO Systems with 1-bit Quantized Outputs: Performance Analysis and Input Optimization , 2007, 2007 IEEE International Symposium on Information Theory.

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

[39]  Andreas Schenk,et al.  Noncoherent Detection in Massive MIMO Systems , 2013, WSA.

[40]  Sven Jacobsson,et al.  Massive MIMO with Low-Resolution ADCs , 2016, ArXiv.

[41]  Lizhong Zheng,et al.  Communication on the Grassmann manifold: A geometric approach to the noncoherent multiple-antenna channel , 2002, IEEE Trans. Inf. Theory.

[42]  Upamanyu Madhow,et al.  Channel Estimation with Low-Precision Analog-to-Digital Conversion , 2010, 2010 IEEE International Conference on Communications.

[43]  Cheng-Xiang Wang,et al.  Spectral, Energy, and Economic Efficiency of 5G Multicell Massive MIMO Systems With Generalized Spatial Modulation , 2016, IEEE Transactions on Vehicular Technology.

[44]  J. Nossek,et al.  A Modified MMSE Receiver for Quantized MIMO Systems , 2002 .

[45]  Zhouyue Pi,et al.  An introduction to millimeter-wave mobile broadband systems , 2011, IEEE Communications Magazine.