A Markovian Model-Driven Deep Learning Framework for Massive MIMO CSI Feedback

Forward channel state information (CSI) often plays a vital role in scheduling and capacity-approaching transmission optimization for massive multiple-input multiple-output (MIMO) communication systems. In frequency division duplex (FDD) massive MIMO systems, forwardlink CSI reconstruction at the transmitter relies critically on CSI feedback from receiving nodes and must carefully weigh the tradeoff between reconstruction accuracy and feedback bandwidth. Recent studies on the use of recurrent neural networks (RNNs) have demonstrated strong promises, though the cost of computation and memory remains high, for massive MIMO deployment. In this work, we exploit channel coherence in time to substantially improve the feedback efficiency. Using a Markovian model, we develop a deep convolutional neural network (CNN)-based framework MarkovNet to differentially encode forward CSI in time to effectively improve reconstruction accuracy. Furthermore, we explore important physical insights, including spherical normalization of input data and convolutional layers for feedback compression. We demonstrate substantial performance improvement and complexity reduction over the RNN-based work by our proposed MarkovNet to recover forward CSI estimates accurately. We explore additional practical consideration in feedback quantization, and show that MarkovNet outperforms RNN-based CSI estimation networks at a fraction of the computational cost.

[1]  Jian Sun,et al.  Deep Residual Learning for Image Recognition , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[2]  Jonathan Ah Sue,et al.  Performance Comparison between Machine Learning based LTE Downlink Grant Predictors , 2019 .

[3]  Yoshua. Bengio,et al.  Learning Deep Architectures for AI , 2007, Found. Trends Mach. Learn..

[4]  Zhen Gao,et al.  Compressive Sensing Techniques for Next-Generation Wireless Communications , 2017, IEEE Wireless Communications.

[5]  Huaming Wu,et al.  Spatio-Temporal Representation With Deep Neural Recurrent Network in MIMO CSI Feedback , 2019, IEEE Wireless Communications Letters.

[6]  Konrad Schindler,et al.  Online Multi-Target Tracking Using Recurrent Neural Networks , 2016, AAAI.

[7]  Claude Oestges,et al.  The COST 2100 MIMO channel model , 2011, IEEE Wirel. Commun..

[8]  Tyler Brown,et al.  CSI Feedback Overhead Reduction for 5G Massive MIMO Systems , 2020, 2020 10th Annual Computing and Communication Workshop and Conference (CCWC).

[9]  Yoav Goldberg,et al.  A Primer on Neural Network Models for Natural Language Processing , 2015, J. Artif. Intell. Res..

[10]  Giuseppe Caire,et al.  Channel state feedback schemes for multiuser MIMO-OFDM downlink , 2009, IEEE Transactions on Communications.

[11]  Eric Pierre Simon,et al.  Joint Carrier Frequency Offset and fast time-varying channel estimation for MIMO-OFDM systems , 2011, 2010 7th International Symposium on Communication Systems, Networks & Digital Signal Processing (CSNDSP 2010).

[12]  Yong Liao,et al.  CSI Feedback Based on Deep Learning for Massive MIMO Systems , 2019, IEEE Access.

[13]  Geoffrey Ye Li,et al.  Deep Learning-Based CSI Feedback Approach for Time-Varying Massive MIMO Channels , 2018, IEEE Wireless Communications Letters.

[14]  Tareq Y. Al-Naffouri,et al.  Compressive sensing for feedback reduction in MIMO broadcast channels , 2009, 2010 17th International Conference on Telecommunications.

[15]  Jürgen Schmidhuber,et al.  Long Short-Term Memory , 1997, Neural Computation.

[16]  Shi Jin,et al.  Deep Learning for Massive MIMO CSI Feedback , 2017, IEEE Wireless Communications Letters.

[17]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[18]  Kezhi Wang,et al.  MIMO Channel Information Feedback Using Deep Recurrent Network , 2018, IEEE Communications Letters.

[19]  Necmi Taspinar,et al.  Back propagation neural network approach for channel estimation in OFDM system , 2010, 2010 IEEE International Conference on Wireless Communications, Networking and Information Security.

[20]  K. Vinoth Babu,et al.  A neural network based channel estimation scheme for OFDM system , 2016, 2016 International Conference on Communication and Signal Processing (ICCSP).

[21]  Claire Cardie,et al.  Opinion Mining with Deep Recurrent Neural Networks , 2014, EMNLP.

[22]  Quoc V. Le,et al.  Sequence to Sequence Learning with Neural Networks , 2014, NIPS.

[23]  Benjamin Schrauwen,et al.  Training and Analysing Deep Recurrent Neural Networks , 2013, NIPS.

[24]  Timo Aila,et al.  Pruning Convolutional Neural Networks for Resource Efficient Inference , 2016, ICLR.

[25]  Ran Tao,et al.  Channel Equalization for OFDM System Based on the BP Neural Network , 2006, 2006 8th international Conference on Signal Processing.

[26]  Behrooz Makki,et al.  On Hybrid ARQ and Quantized CSI Feedback Schemes in Quasi-Static Fading Channels , 2012, IEEE Transactions on Communications.

[27]  Vincent K. N. Lau,et al.  Distributed Compressive CSIT Estimation and Feedback for FDD Multi-User Massive MIMO Systems , 2014, IEEE Transactions on Signal Processing.

[28]  Suhel Dhanani,et al.  Entropy, Predictive Coding and Quantization , 2012 .

[29]  Simon Haykin,et al.  Improved bayesian MIMO channel tracking for wireless communications: incorporating a dynamical model , 2006, IEEE Transactions on Wireless Communications.

[30]  Jong-Tae Lim,et al.  Channel estimation and signal detection for MIMO-OFDM with time varying channels , 2006, IEEE Communications Letters.

[31]  Robert W. Heath,et al.  Foundations of MIMO Communication , 2018 .

[32]  Razvan Pascanu,et al.  How to Construct Deep Recurrent Neural Networks , 2013, ICLR.

[33]  Chia-Hsin Cheng,et al.  Using Back Propagation Neural Network for Channel Estimation and Compensation in OFDM Systems , 2013, 2013 Seventh International Conference on Complex, Intelligent, and Software Intensive Systems.

[34]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[35]  Zhi Ding,et al.  Spherical Normalization for Learned Compressive Feedback in Massive MIMO CSI Acquisition , 2020, 2020 IEEE International Conference on Communications Workshops (ICC Workshops).

[36]  Klaus-Robert Müller,et al.  Efficient BackProp , 2012, Neural Networks: Tricks of the Trade.

[37]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[38]  Geoffrey Ye Li,et al.  Deep Learning Based Channel Estimation for Massive MIMO With Mixed-Resolution ADCs , 2019, IEEE Communications Letters.

[39]  Robert W. Heath,et al.  An overview of limited feedback in wireless communication systems , 2008, IEEE Journal on Selected Areas in Communications.

[40]  Zhi Ding,et al.  Exploiting Bi-Directional Channel Reciprocity in Deep Learning for Low Rate Massive MIMO CSI Feedback , 2019, IEEE Wireless Communications Letters.

[41]  Il-Min Kim,et al.  Deep Autoencoder Based CSI Feedback With Feedback Errors and Feedback Delay in FDD Massive MIMO Systems , 2019, IEEE Wireless Communications Letters.