Optimization of linear MIMO precoding assuming MMSE-based turbo equalization

Abstract In this paper, we focus on the optimization of a linear multiple-input multiple-output (MIMO) precoder assuming an outer forward error correction code and an iterative minimum mean square error (MMSE)-based interference cancellation (turbo equalization) at the receiver side. Given perfect channel state information at both sides of the communication, we propose a novel precoder that is specifically designed to use with turbo equalization. In contrast to the conventional precoders that maximize the mutual information (MI) between finite alphabet input and the corresponding output over the precoded MIMO channel, the proposed precoder aims to maximize the MI between the finite alphabet input and the corresponding output of the equalizer. The precoder is targeted for applications that require low complexity, where forward error correction (FEC) codes with low-complex encoding and decoding structures are used. Simulation results show the error-rate performance gain of the resulting precoder compared to two other reference precoders presented in the literature, which are derived from the maximization of the precoded MIMO channel MI.

[1]  Olivier Berder,et al.  Minimum Euclidean Distance Based Precoders for MIMO Systems Using Rectangular QAM Modulations , 2012, IEEE Transactions on Signal Processing.

[2]  Claude Berrou,et al.  Linear precoding with low complexity MMSE turbo-equalization and application to the wireless LAN system , 2005, IEEE International Conference on Communications, 2005. ICC 2005. 2005.

[3]  Petre Stoica,et al.  Maximum-SNR spatial-temporal formatting designs for MIMO channels , 2002, IEEE Trans. Signal Process..

[4]  Lajos Hanzo,et al.  Iterative Decoding Convergence and Termination of Serially Concatenated Codes , 2010, IEEE Transactions on Vehicular Technology.

[5]  Olivier Berder,et al.  Minimum BER diagonal precoder for MIMO digital transmissions , 2002, Signal Process..

[6]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[7]  Naresh R. Shanbhag,et al.  Linear turbo equalization analysis via BER transfer and EXIT charts , 2005, IEEE Transactions on Signal Processing.

[8]  Marcus Grossmann.  SVD-Based Precoding for Single Carrier MIMO Transmission With Frequency Domain MMSE Turbo Equalization , 2009, IEEE Signal Processing Letters.

[9]  Joachim Hagenauer,et al.  The exit chart - introduction to extrinsic information transfer in iterative processing , 2004, 2004 12th European Signal Processing Conference.

[10]  H. Vincent Poor,et al.  Iterative (turbo) soft interference cancellation and decoding for coded CDMA , 1999, IEEE Trans. Commun..

[11]  Erik G. Larsson,et al.  Fundamentals of massive MIMO , 2016, SPAWC.

[12]  Olivier Berder,et al.  Optimal minimum distance-based precoder for MIMO spatial multiplexing systems , 2004, IEEE Transactions on Signal Processing.

[13]  Shahid Mumtaz,et al.  A survey of 5G technologies: regulatory, standardization and industrial perspectives , 2017, Digit. Commun. Networks.

[14]  Sanjeev Jain,et al.  A survey on device-to-device (D2D) communication: Architecture and security issues , 2017, J. Netw. Comput. Appl..

[15]  Alain Glavieux,et al.  Iterative correction of intersymbol interference: Turbo-equalization , 1995, Eur. Trans. Telecommun..

[16]  Antti Tölli,et al.  Transmission power variance constrained power allocation for iterative frequency domain multiuser SIMO detector , 2014, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[17]  Mário Marques da Silva,et al.  MIMO Processing for 4G and Beyond: Fundamentals and Evolution , 2014 .

[18]  Luc Vandendorpe,et al.  MMSE-based fractional turbo receiver for space-time BICM over frequency-selective MIMO fading channels , 2004, IEEE Transactions on Signal Processing.

[19]  Petre Stoica,et al.  Generalized linear precoder and decoder design for MIMO channels using the weighted MMSE criterion , 2001, IEEE Trans. Commun..

[20]  Stephan ten Brink,et al.  Designing Iterative Decoding Schemes with the Extrinsic Information Transfer Chart , 2001 .

[21]  Emanuel Radoi,et al.  Association and Joint Optimization of max-dmin Precoder with MIMO Turbo Equalization , 2014, GLOBECOM 2014.

[22]  Kimmo Kansanen,et al.  An analytical method for MMSE MIMO turbo equalizer EXIT chart computation , 2007, IEEE Transactions on Wireless Communications.

[23]  Akihiro Okazaki,et al.  Performance Evaluation of NL-BMD Precoding over Analog-Digital Hybrid Beamforming for High SHF Wide-Band Massive MIMO in 5G , 2017, Int. J. Wirel. Inf. Networks.

[24]  Olivier Berder,et al.  General minimum Euclidean distance-based precoder for MIMO wireless systems , 2013, EURASIP Journal on Advances in Signal Processing.

[25]  Jianhua Lu,et al.  A Low-Complexity Design of Linear Precoding for MIMO Channels with Finite-Alphabet Inputs , 2012, IEEE Wireless Communications Letters.

[26]  Antonia Maria Tulino,et al.  Optimum power allocation for parallel Gaussian channels with arbitrary input distributions , 2006, IEEE Transactions on Information Theory.

[27]  Erik Dahlman,et al.  4G, LTE-Advanced Pro and The Road to 5G Ed. 3 , 2016 .

[28]  Emanuel Radoi,et al.  Complexity Reduction for the Optimization of Linear Precoders Over Random MIMO Channels , 2017, IEEE Transactions on Communications.

[29]  Lajos Hanzo,et al.  Survey of Large-Scale MIMO Systems , 2015, IEEE Communications Surveys & Tutorials.

[30]  Raphaël Visoz,et al.  A new class of iterative equalizers for space-time BICM over MIMO block fading multipath AWGN channel , 2005, IEEE Transactions on Communications.

[31]  Andrew C. Singer,et al.  Minimum mean squared error equalization using a priori information , 2002, IEEE Trans. Signal Process..

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

[33]  Daniel Pérez Palomar,et al.  Gradient of mutual information in linear vector Gaussian channels , 2006, IEEE Transactions on Information Theory.

[34]  Zhi Ding,et al.  Globally Optimal Linear Precoders for Finite Alphabet Signals Over Complex Vector Gaussian Channels , 2011, IEEE Transactions on Signal Processing.

[35]  C. Laot,et al.  Efficient Frequency-Domain MMSE Turbo Equalization Derivation and Performance Comparison with the Time-Domain Counterpart , 2007, 2007 Third International Conference on Wireless and Mobile Communications (ICWMC'07).

[36]  Stephan ten Brink,et al.  Convergence behavior of iteratively decoded parallel concatenated codes , 2001, IEEE Trans. Commun..

[37]  Liang Gu,et al.  5G Field Trials: OFDM-Based Waveforms and Mixed Numerologies , 2017, IEEE Journal on Selected Areas in Communications.

[38]  Christophe Laot,et al.  Low-complexity MMSE turbo equalization: a possible solution for EDGE , 2005, IEEE Transactions on Wireless Communications.

[39]  Andrew C. Singer,et al.  Turbo equalization: principles and new results , 2002, IEEE Trans. Commun..

[40]  D. Leroux,et al.  Reduced complexity near-optimal iterative receiver for Wimax full-rate space-time code , 2008, 2008 5th International Symposium on Turbo Codes and Related Topics.

[41]  F. Schreckenbach,et al.  Iterative detection of MIMO signals with linear detectors , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[42]  S. ten Brink,et al.  Iterative demapping and decoding for multilevel modulation , 1998, IEEE GLOBECOM 1998 (Cat. NO. 98CH36250).

[43]  Alain Glavieux,et al.  Reflections on the Prize Paper : "Near optimum error-correcting coding and decoding: turbo codes" , 1998 .

[44]  Marian Codreanu,et al.  EXIT Chart-Based Power Allocation for Iterative Frequency Domain MIMO Detector , 2011, IEEE Transactions on Signal Processing.

[45]  Mohsen Guizani,et al.  M2M Communications in 5G: State-of-the-Art Architecture, Recent Advances, and Research Challenges , 2017, IEEE Communications Magazine.