IMRecoNet: Learn to Detect in Index Modulation Aided MIMO Systems With Complex Valued Neural Networks

Index modulation (IM) reduces the power consumption and hardware cost of the multiple-input multiple-output (MIMO) system by activating part of the antennas for data transmission. However, IM significantly increases the complexity of the receiver and needs accurate channel estimation to guarantee its performance. To tackle these challenges, in this paper, we design a deep learning (DL) based detector for the IM aided MIMO (IM-MIMO) systems. We first formulate the detection process as a sparse reconstruction problem by utilizing the inherent attributes of IM. Then, based on greedy strategy, we design a DL based detector, called IMRecoNet, to realize this sparse reconstruction process. Different from the general neural networks, we introduce complex value operations to adapt the complex signals in communication systems. To the best of our knowledge, this is the first attempt that introduce complex valued neural network to the design of detector for the IM-MIMO systems. Finally, to verify the adaptability and robustness of the proposed detector, simulations are carried out with consideration of inaccurate channel state information (CSI) and correlated MIMO channels. The simulation results demonstrate that the proposed detector outperforms existing algorithms in terms of antenna recognition accuracy and bit error rate under various scenarios.

[1]  Hancheng Lu,et al.  RoemNet: Robust Meta Learning Based Channel Estimation in OFDM Systems , 2019, ICC 2019 - 2019 IEEE International Conference on Communications (ICC).

[2]  Sergey L. Loyka,et al.  Channel capacity of MIMO architecture using the exponential correlation matrix , 2001, IEEE Communications Letters.

[3]  Jintao Wang,et al.  Generalised Spatial Modulation System with Multiple Active Transmit Antennas and Low Complexity Detection Scheme , 2012, IEEE Transactions on Wireless Communications.

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

[5]  Shi Jin,et al.  Model-Driven Deep Learning for MIMO Detection , 2020, IEEE Transactions on Signal Processing.

[6]  Hancheng Lu,et al.  NOMA-Based Scalable Video Multicast in Mobile Networks With Statistical Channels , 2021, IEEE Transactions on Mobile Computing.

[7]  Ross B. Girshick,et al.  Reducing Overfitting in Deep Networks by Decorrelating Representations , 2015, ICLR.

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

[9]  Kazuyuki Murase,et al.  Wirtinger Calculus Based Gradient Descent and Levenberg-Marquardt Learning Algorithms in Complex-Valued Neural Networks , 2011, ICONIP.

[10]  Hancheng Lu,et al.  QoE-Driven Multi-User Video Transmission Over SM-NOMA Integrated Systems , 2019, IEEE Journal on Selected Areas in Communications.

[11]  H. Vincent Poor,et al.  Orthogonal Frequency Division Multiplexing With Index Modulation , 2012, IEEE Transactions on Signal Processing.

[12]  Ertugrul Basar,et al.  OFDM With Index Modulation Using Coordinate Interleaving , 2015, IEEE Wireless Communications Letters.

[13]  Fumiyuki Adachi,et al.  Deep-Learning-Based Millimeter-Wave Massive MIMO for Hybrid Precoding , 2019, IEEE Transactions on Vehicular Technology.

[14]  Ali Ghrayeb,et al.  Spatial modulation: optimal detection and performance analysis , 2008, IEEE Communications Letters.

[15]  Yong Liang Guan,et al.  Adaptive Spatial Modulation MIMO Based on Machine Learning , 2019, IEEE Journal on Selected Areas in Communications.

[16]  Harald Haas,et al.  Spatial Modulation , 2008, IEEE Transactions on Vehicular Technology.

[17]  Sandeep Subramanian,et al.  Deep Complex Networks , 2017, ICLR.

[18]  Tengjiao Wang,et al.  Deep learning-based detection scheme for visible light communication with generalized spatial modulation. , 2020, Optics express.

[19]  Cheng Li,et al.  Accurate Analytical BER Performance for ZF Receivers Under Imperfect Channel in Low-SNR Region for Large Receiving Antennas , 2018, IEEE Signal Processing Letters.

[20]  Jintao Wang,et al.  Signal Vector Based Detection Scheme for Spatial Modulation , 2012, IEEE Communications Letters.

[21]  Mohammad Ismat Kadir,et al.  Subcarrier-Index Modulated Multicarrier Space-Time Shift Keying: Achievable Rate, Performance, and Design Guidelines , 2019, IEEE Transactions on Vehicular Technology.

[22]  Miaowen Wen,et al.  A Survey on Spatial Modulation in Emerging Wireless Systems: Research Progresses and Applications , 2019, IEEE Journal on Selected Areas in Communications.

[23]  Jianping Zheng Signal Vector Based List Detection for Spatial Modulation , 2012, IEEE Wireless Communications Letters.

[24]  Markus Rupp,et al.  Energy Efficiency of mmWave Massive MIMO Precoding With Low-Resolution DACs , 2017, IEEE Journal of Selected Topics in Signal Processing.

[25]  Feng Wu,et al.  Learning Deterministic Policy with Target for Power Control in Wireless Networks , 2018, 2018 IEEE Global Communications Conference (GLOBECOM).

[26]  Lajos Hanzo,et al.  Spatial Modulation and Space-Time Shift Keying: Optimal Performance at a Reduced Detection Complexity , 2013, IEEE Transactions on Communications.

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

[28]  Ken Kreutz-Delgado,et al.  The Complex Gradient Operator and the CR-Calculus ECE275A - Lecture Supplement - Fall 2005 , 2009, 0906.4835.

[29]  Natalia Gimelshein,et al.  PyTorch: An Imperative Style, High-Performance Deep Learning Library , 2019, NeurIPS.

[30]  Zhu Han,et al.  Deep Convolutional Neural Network-Based Detector for Index Modulation , 2020, IEEE Wireless Communications Letters.

[31]  Fumiyuki Adachi,et al.  Deep Learning for Physical-Layer 5G Wireless Techniques: Opportunities, Challenges and Solutions , 2019, IEEE Wireless Communications.

[32]  Babak Daneshrad,et al.  Performance Indicator for MIMO MMSE Receivers in the Presence of Channel Estimation Error , 2012, IEEE Wireless Communications Letters.

[33]  Ami Wiesel,et al.  Deep MIMO detection , 2017, 2017 IEEE 18th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[34]  Feng Wu,et al.  LensCast: Robust Wireless Video Transmission Over MmWave MIMO With Lens Antenna Array , 2020, IEEE Transactions on Multimedia.

[35]  Franz Pernkopf,et al.  Deep Complex-valued Neural Beamformers , 2019, ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[36]  Fredrik Tufvesson,et al.  5G: A Tutorial Overview of Standards, Trials, Challenges, Deployment, and Practice , 2017, IEEE Journal on Selected Areas in Communications.

[37]  Ivan J. Fair,et al.  Deep Learning-Based Decoding of Constrained Sequence Codes , 2019, IEEE Journal on Selected Areas in Communications.

[38]  Geoffrey Ye Li,et al.  ComNet: Combination of Deep Learning and Expert Knowledge in OFDM Receivers , 2018, IEEE Communications Letters.

[39]  Hancheng Lu,et al.  IMNet: A Learning Based Detector for Index Modulation Aided MIMO-OFDM Systems , 2019, 2020 IEEE Wireless Communications and Networking Conference (WCNC).

[40]  Biing-Hwang Juang,et al.  Deep Learning-Based End-to-End Wireless Communication Systems With Conditional GANs as Unknown Channels , 2019, IEEE Transactions on Wireless Communications.

[41]  Laurent Jacques,et al.  On the Noise Robustness of Simultaneous Orthogonal Matching Pursuit , 2016, IEEE Transactions on Signal Processing.

[42]  Lajos Hanzo,et al.  Two-Dimensional Index Modulation for the Large-Scale Multi-User MIMO Uplink , 2019, IEEE Transactions on Vehicular Technology.

[43]  Philipp H. W. Hoffmann,et al.  A Hitchhiker’s Guide to Automatic Differentiation , 2014, Numerical Algorithms.

[44]  Frank de Hoog,et al.  Orthogonal Matching Pursuit With Thresholding and its Application in Compressive Sensing , 2013, IEEE Transactions on Signal Processing.

[45]  Hancheng Lu,et al.  Robust Video Broadcast for Users With Heterogeneous Resolution in Mobile Networks , 2021, IEEE Transactions on Mobile Computing.

[46]  Joel A. Tropp,et al.  Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit , 2006, Signal Process..

[47]  Ertugrul Basar,et al.  Index modulation techniques for 5G wireless networks , 2016, IEEE Communications Magazine.

[48]  Zujun Liu,et al.  Circuit Power Consumption-Unaware Energy Efficiency Optimization for Massive MIMO Systems , 2017, IEEE Wireless Communications Letters.

[49]  Akira Hirose,et al.  Learning Algorithms in Complex-Valued Neural Networks using Wirtinger Calculus , 2013 .

[50]  Miaowen Wen,et al.  Multiple-Input Multiple-Output OFDM With Index Modulation: Low-Complexity Detector Design , 2017, IEEE Transactions on Signal Processing.

[51]  Stella X. Yu,et al.  Better than real: Complex-valued neural nets for MRI fingerprinting , 2017, 2017 IEEE International Conference on Image Processing (ICIP).