Polarization Shift Keying (PolarSK): System Scheme and Performance Analysis

The single-radio-frequency (RF) multiple-input-multiple-output (MIMO) system has been proposed to pursue a high spectral efficiency while keeping a low hardware cost and complexity. Recently, the available degrees of freedom (DoF) in the polarization domain has been exploited to reduce the size of the transmit antenna array and provide 1 bit per channel use (bpcu) multiplexing gain for the single-RF MIMO system. Nevertheless, the polarization domain resource still has the potential to provide a higher multiplexing gain in the polarized single-RF MIMO system. In this paper, we propose a generalized polarization shift keying (PolarSK) modulation scheme that uses polarization states in the dual-polarized transmit antenna as an information-bearing unit to increase the overall spectral efficiency. At the receiver, the optimum maximum likelihood (ML) detector is employed to investigate the ultimate performance limit of the PolarSK. A closed-form union upper bound on the average bit error probability (ABEP) of the PolarSK with the optimum ML receiver is derived. Inspired by the analytic ABEP, a constellation diagram optimization algorithm is proposed. To reduce the computational complexity of the receiver, a linear successive interference cancellation (SIC) detection algorithm and a sphere-decoding (SD) detection algorithm are introduced. Through numerical results, performances of the proposed PolarSK in terms of ABEP and computational complexity are analyzed. Furthermore, the PolarSK is analyzed over measured indoor channels. Numerical and measurement results show that the PolarSK scheme outperforms the state-of-the-art dual-polarized/unipolarized SM schemes.

[1]  Harald Haas,et al.  An energy saving base station employing spatial modulation , 2012, 2012 IEEE 17th International Workshop on Computer Aided Modeling and Design of Communication Links and Networks (CAMAD).

[2]  KyungHi Chang,et al.  SISO polarized flat fading channel modeling for dual-polarized antenna systems , 2012, The International Conference on Information Network 2012.

[3]  Naitong Zhang,et al.  On the Error Probability of Spatial Modulation over Keyhole MIMO Channels , 2013, IEEE Communications Letters.

[4]  Lutz H.-J. Lampe,et al.  Multiple-antenna techniques for wireless communications - a comprehensive literature survey , 2009, IEEE Communications Surveys & Tutorials.

[5]  KyungHi Chang,et al.  Practical and Simple Wireless Channel Models for Use in Multipolarized Antenna Systems , 2014 .

[6]  Harald Haas,et al.  On Transmit Diversity for Spatial Modulation MIMO: Impact of Spatial Constellation Diagram and Shaping Filters at the Transmitter , 2013, IEEE Transactions on Vehicular Technology.

[7]  Dongfeng Yuan,et al.  Link-Adaptive Mapper Designs for Space-Shift-Keying-Modulated MIMO Systems , 2016, IEEE Transactions on Vehicular Technology.

[8]  Harald Haas,et al.  Bit Error Probability of SM-MIMO Over Generalized Fading Channels , 2012, IEEE Transactions on Vehicular Technology.

[9]  Lajos Hanzo,et al.  Spatial Modulation for Generalized MIMO: Challenges, Opportunities, and Implementation , 2014, Proceedings of the IEEE.

[10]  Harald Haas,et al.  Space Shift Keying (SSK) Modulation with Partial Channel State Information: Optimal Detector and Performance Analysis over Fading Channels , 2010, IEEE Transactions on Communications.

[11]  H. Vincent Poor,et al.  Performance of Spatial Modulation in the Presence of Channel Estimation Errors , 2012, IEEE Communications Letters.

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

[13]  Lajos Hanzo,et al.  Reduced-Complexity ML Detection and Capacity-Optimized Training for Spatial Modulation Systems , 2014, IEEE Transactions on Communications.

[14]  Naitong Zhang,et al.  Bit Error Probability of Spatial Modulation over Measured Indoor Channels , 2014, IEEE Transactions on Wireless Communications.

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

[16]  Lajos Hanzo,et al.  Antenna Selection in Spatial Modulation Systems , 2013, IEEE Communications Letters.

[17]  Hikmet Sari,et al.  Dual-Polarized Spatial Modulation Over Correlated Fading Channels , 2017, IEEE Transactions on Communications.

[18]  Christos Masouros,et al.  MIMO Transmission for Single-Fed ESPAR With Quantized Loads , 2017, IEEE Transactions on Communications.

[19]  Kunqing Xie,et al.  A channel hopping technique I: theoretical studies on band efficiency and capacity , 2004, 2004 International Conference on Communications, Circuits and Systems (IEEE Cat. No.04EX914).

[20]  Harald Haas,et al.  Performance Analysis of Spatial Modulation (SM) , 2010, ICC 2010.

[21]  Cheng-Xiang Wang,et al.  Practical Implementation of Spatial Modulation , 2013, IEEE Transactions on Vehicular Technology.

[22]  Babak Hassibi,et al.  On the sphere-decoding algorithm I. Expected complexity , 2005, IEEE Transactions on Signal Processing.

[23]  B. Szafraniec,et al.  Polarization demultiplexing in Stokes space. , 2010, Optics express.

[24]  Tharmalingam Ratnarajah,et al.  Achieving Arbitrary Signals Transmission Using a Single Radio Frequency Chain , 2015, IEEE Transactions on Communications.

[25]  Shi Jin,et al.  Spatial Modulation via 3-D Mapping , 2016, IEEE Communications Letters.

[26]  Constantinos B. Papadias,et al.  Parasitic Antenna Arrays for Wireless MIMO Systems , 2013 .

[27]  Harald Haas,et al.  A General Framework for Performance Analysis of Space Shift Keying (SSK) Modulation for MISO Correlated Nakagami-m Fading Channels , 2010, IEEE Transactions on Communications.

[28]  James R. Zeidler,et al.  Performance of polarization diversity in correlated nakagami-m fading channels , 2006, IEEE Transactions on Vehicular Technology.

[29]  Lajos Hanzo,et al.  Single-Carrier SM-MIMO: A Promising Design for Broadband Large-Scale Antenna Systems , 2016, IEEE Communications Surveys & Tutorials.

[30]  P. Grant,et al.  Spatial modulation for multiple-antenna wireless systems: a survey , 2011, IEEE Communications Magazine.

[31]  Ali Ghrayeb,et al.  Generalized space shift keying modulation for MIMO channels , 2008, 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications.

[32]  Gregory W. Wornell,et al.  Lattice-reduction-aided detectors for MIMO communication systems , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[33]  Lajos Hanzo,et al.  Design Guidelines for Spatial Modulation , 2015, IEEE Communications Surveys & Tutorials.

[34]  Chang Wook Ahn,et al.  Spatial Modulation - A New Low Complexity Spectral Efficiency Enhancing Technique , 2006, 2006 First International Conference on Communications and Networking in China.

[35]  Harald Haas,et al.  Trellis Coded Spatial Modulation , 2010, IEEE Transactions on Wireless Communications.

[36]  Minglu Jin,et al.  A Low-Complexity ML Detection Algorithm for Spatial Modulation Systems With $M$PSK Constellation , 2014, IEEE Communications Letters.

[37]  Mehdi Maleki,et al.  On the Performance of Spatial Modulation: Optimal Constellation Breakdown , 2014, IEEE Transactions on Communications.

[38]  Naitong Zhang,et al.  Oblique Projection Polarization Filtering-Based Interference Suppressions for Radar Sensor Networks , 2010, EURASIP J. Wirel. Commun. Netw..

[39]  Xiaohu Ge,et al.  On the Performance of Full-Duplex Two-Way Relay Channels With Spatial Modulation , 2016, IEEE Transactions on Communications.

[40]  Jie Zhang,et al.  Performance of spatial modulation with constant transmitted power under LOS and NLOS scenarios , 2015, 2015 IEEE International Conference on Communications (ICC).

[41]  Harald Haas,et al.  Performance Comparison of Different Spatial Modulation Schemes in Correlated Fading Channels , 2010, 2010 IEEE International Conference on Communications.

[42]  Senthilkumar Dhanasekaran,et al.  Space-Polarization Shift Keying Modulation for MIMO Channels , 2016, Wirel. Pers. Commun..

[43]  Harald Haas,et al.  Bit Error Probability of Space Modulation over Nakagami-m Fading: Asymptotic Analysis , 2011, IEEE Communications Letters.

[44]  Partha P. Mitra,et al.  Tripling the capacity of wireless communications using electromagnetic polarization , 2001, Nature.

[45]  Harald Haas,et al.  Optimal power allocation for channel estimation in spatial modulation , 2014, 2014 IEEE International Conference on Communications (ICC).

[46]  Ali Ghrayeb,et al.  Space shift keying modulation for MIMO channels , 2009, IEEE Transactions on Wireless Communications.

[47]  Cheng-Xiang Wang,et al.  Performance of Spatial Modulation Using Measured Real-World Channels , 2013, 2013 IEEE 78th Vehicular Technology Conference (VTC Fall).

[48]  Andreas F. Molisch,et al.  Performance Evaluation of Cross-Polarized Antenna Selection over 2 GHz Measurement-Based Channel Models , 2011, 2011 IEEE 73rd Vehicular Technology Conference (VTC Spring).

[49]  Harald Haas,et al.  Energy Evaluation of Spatial Modulation at a Multi-Antenna Base Station , 2013, 2013 IEEE 78th Vehicular Technology Conference (VTC Fall).

[50]  Jianhua Lu,et al.  M-PSK and M-QAM BER computation using signal-space concepts , 1999, IEEE Trans. Commun..

[51]  Jong-Soo Seo,et al.  Soft-output ML detector for spatial modulation OFDM systems , 2009, IEICE Electron. Express.

[52]  Yawgeng A. Chau,et al.  Space modulation on wireless fading channels , 2001, IEEE 54th Vehicular Technology Conference. VTC Fall 2001. Proceedings (Cat. No.01CH37211).

[53]  W. R. Buckland,et al.  Multiple Hypergeometric Functions and Applications , 1977 .

[54]  Harald Haas,et al.  Space Shift Keying (SSK—) MIMO with Practical Channel Estimates , 2012, IEEE Transactions on Communications.

[55]  Helmut Bölcskei,et al.  Performance of spatial multiplexing in the presence of polarization diversity , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[56]  Yue Xiao,et al.  Adaptive Spatial Modulation for Wireless MIMO Transmission Systems , 2011, IEEE Communications Letters.

[57]  Claus-Peter Schnorr,et al.  Lattice basis reduction: Improved practical algorithms and solving subset sum problems , 1991, FCT.

[58]  Harald Haas,et al.  Increasing spectral efficiency by data multiplexing using antenna arrays , 2002, The 13th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications.

[59]  Koji Ishibashi,et al.  Effects of Antenna Switching on Band-Limited Spatial Modulation , 2014, IEEE Wireless Communications Letters.

[60]  Bingli Jiao,et al.  Information-guided channel-hopping for high data rate wireless communication , 2008, IEEE Communications Letters.

[61]  Yang Wang,et al.  A practical complex BKZ reduction algorithm for near-optimal MIMO SIC detection , 2016, 2016 IEEE International Conference on Communications (ICC).

[62]  Hikmet Sari,et al.  Spatial modulation with dual-polarized antennas , 2015, 2015 IEEE International Conference on Communications (ICC).

[63]  Emanuele Viterbo,et al.  A universal lattice code decoder for fading channels , 1999, IEEE Trans. Inf. Theory.

[64]  Claude Oestges,et al.  Dual-polarized wireless communications: from propagation models to system performance evaluation , 2008, IEEE Transactions on Wireless Communications.

[65]  Raed Mesleh,et al.  A General Framework for Performance Analysis of Space Shift Keying (SSK) Modulation in the Presence of Gaussian Imperfect Estimations , 2012, IEEE Communications Letters.

[66]  Hikmet Sari,et al.  Performance Analysis of Spatial Modulation over Correlated Fading Channels , 2012, 2012 IEEE Vehicular Technology Conference (VTC Fall).

[67]  Harald Haas,et al.  Improving the performance of space shift keying (SSK) modulation via opportunistic power allocation , 2010, IEEE Communications Letters.

[68]  Dongfeng Yuan,et al.  Adaptive Mapper Design for Spatial Modulation with Lightweight Feedback Overhead , 2017, IEEE Transactions on Vehicular Technology.

[69]  Ronald F. Boisvert,et al.  NIST Handbook of Mathematical Functions , 2010 .

[70]  Mehdi Maleki,et al.  On MRC-Based Detection of Spatial Modulation , 2016, IEEE Transactions on Wireless Communications.

[71]  Yu Deng,et al.  Performance of MIMO systems with combined polarization multiplexing and transmit diversity , 2005, 2005 IEEE 61st Vehicular Technology Conference.