Space-Time Blind Equalization of Dispersive MIMO Systems Driven by QAM Signals

This paper investigates space-time blind equalization (BE) of dispersive multiple-input multiple-output communication systems driven by high throughput quadrature amplitude modulation signals. Multistage processing is adopted to overcome the severe local convergence problem in BE. First, a good initial value for the equalizer is obtained by forcing one of the system inputs with desired delay to be recovered. Then, the fast multimodulus algorithm (MMA) is used to roughly equalize the communication system. After that, an improved MMA (IMMA) is developed to effectively search for a fine equalizer for the system. Moreover, the novel modified Newton method (MNM) proposed in our previous work is employed to fast optimize the MMA and IMMA cost functions, which significantly reduces the computational load. Furthermore, the proposed algorithm has an additional benefit that once a signal is recovered, its corresponding single-input multiple-output channel impulse response is estimated by the classical least squares methods. Then, the influence of the recovered signal to the original received signals is removed to avoid extracting this recovered signal repeatedly. The quadratic rate of convergence of the MNM is theoretically analyzed, and the good equalization performance of the IMMA is explained. Finally, simulation results are provided to illustrate the effectiveness of the proposed algorithm.

[1]  Geoffrey E. Hinton,et al.  A soft decision-directed LMS algorithm for blind equalization , 1993, IEEE Trans. Commun..

[2]  Roberto Llorente,et al.  Performance Comparison Between 4D Trellis Coded Modulation and PAM-4 for Low-Cost 400 Gbps WDM Optical Networks , 2016, Journal of Lightwave Technology.

[3]  Karim Abed-Meraim,et al.  A New Blind Adaptive Signal Separation and Equalization Algorithm for MIMO Convolutive Systems , 2007, 2007 IEEE/SP 14th Workshop on Statistical Signal Processing.

[4]  Bhaskar D. Rao,et al.  Whitening-rotation-based semi-blind MIMO channel estimation , 2006, IEEE Transactions on Signal Processing.

[5]  J. Conradi,et al.  Multilevel signaling for increasing the reach of 10 Gb/s lightwave systems , 1999 .

[6]  Ross D. Murch,et al.  Layered space-frequency equalization in a single-carrier MIMO system for frequency-selective channels , 2004, IEEE Transactions on Wireless Communications.

[7]  Zhi Ding,et al.  Ill-convergence of Godard blind equalizers in data communication systems , 1991, IEEE Trans. Commun..

[8]  Jitendra K. Tugnait,et al.  Doubly Selective Channel Estimation Using Superimposed Training and Exponential Bases Models , 2006, EURASIP J. Adv. Signal Process..

[9]  Simon Haykin,et al.  Adaptive filter theory (2nd ed.) , 1991 .

[10]  Soon Xin Ng,et al.  Quadrature Amplitude Modulation: From Basics to Adaptive Trellis-Coded, Turbo-Equalised and Space-Time Coded OFDM, CDMA and MC-CDMA Systems , 2004 .

[11]  Wei Xing Zheng,et al.  Space-Time Semi-Blind Equalizer for Dispersive QAM MIMO System Based on Modified Newton Method , 2014, IEEE Transactions on Wireless Communications.

[12]  Giancarlo Prati,et al.  Blind Equalization and Carrier Recovery Using a "Stop-and-Go" Decision-Directed Algorithm , 1987, IEEE Trans. Commun..

[13]  Desmond P. Taylor,et al.  Blind channel order estimation based on second-order statistics , 2003, IEEE Signal Processing Letters.

[14]  Qingyu Zhu,et al.  Preamble Design for Multiple-Antenna OFDM , 2008, IEEE Transactions on Wireless Communications.

[15]  Asoke K. Nandi,et al.  Blind equalization of square-QAM signals: a multimodulus approach , 2010, IEEE Transactions on Communications.

[16]  Subhabrata Banerjee,et al.  Equalizer optimization using Flower Pollination Algorithm , 2016, 2016 IEEE 1st International Conference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES).

[17]  Giacinto Gelli,et al.  A two-stage CMA-based receiver for blind joint equalization and multiuser detection in high data-rate DS-CDMA systems , 2004, IEEE Transactions on Wireless Communications.

[18]  Y. Sato,et al.  A Method of Self-Recovering Equalization for Multilevel Amplitude-Modulation Systems , 1975, IEEE Trans. Commun..

[19]  Sergio Verdu,et al.  Multiuser Detection , 1998 .

[20]  Monika Pinchas,et al.  New Lagrange Multipliers for the Blind Adaptive Deconvolution Problem Applicable for the Noisy Case , 2016, Entropy.

[21]  Zhi Ding,et al.  On channel identification based on second-order cyclic spectra , 1994, IEEE Trans. Signal Process..

[22]  Keang-Po Ho,et al.  Spectral efficiency limits and modulation/detection techniques for DWDM systems , 2004, IEEE Journal of Selected Topics in Quantum Electronics.

[23]  C. Papadias,et al.  A constant modulus algorithm for multiuser signal separation in presence of delay spread using antenna arrays , 1997, IEEE Signal Processing Letters.

[24]  Chih-Peng Fan,et al.  Two-stage generalized multilevel modulus and soft decision-directed based fast blind equalization for high-order QAM cable systems , 2009, TENCON 2009 - 2009 IEEE Region 10 Conference.

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

[26]  Jitendra K. Tugnait,et al.  On Superimposed Training for MIMO Channel Estimation and Symbol Detection , 2007, IEEE Transactions on Signal Processing.

[27]  Zhi Ding,et al.  Direct blind MMSE channel equalization based on second order statistics , 1999, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311).

[28]  Ryuji Kohno,et al.  Low-complexity rake reception and equalization for MBOK DS-UWB systems , 2004, IEEE Global Telecommunications Conference, 2004. GLOBECOM '04..

[29]  D. Godard,et al.  Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data Communication Systems , 1980, IEEE Trans. Commun..

[30]  Asoke K. Nandi,et al.  ADAPTIVE LAYERED SPACE − FREQUENCY EQUALIZATION FOR SINGLE − CARRIER MIMO SYSTEMS ( WedAmOR 2 ) Author ( s ) : , 2005 .

[31]  Sheng Chen,et al.  A comparative study of two blind FIR equalizers , 2004, Digit. Signal Process..

[32]  Philippe Loubaton,et al.  A semi-blind channel estimation technique based on second-order blind method for CDMA systems , 2003, IEEE Trans. Signal Process..

[33]  Asoke K. Nandi,et al.  Semi-Blind Layered Space-Frequency Equalization for Single-Carrier MIMO Systems with Block Transmission , 2008, IEEE Transactions on Wireless Communications.

[35]  A.-J. van der Veen Joint diagonalization via subspace fitting techniques , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[36]  John J. Shynk,et al.  The constant modulus array for cochannel signal copy and direction finding , 1996, IEEE Trans. Signal Process..

[37]  Tamal Bose,et al.  Blind Adaptive Equalization of MIMO Systems: New Recursive Algorithms and Convergence Analysis , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[38]  Feifei Gao,et al.  Resolving Multidimensional Ambiguity in Blind Channel Estimation of MIMO-FIR Systems via Block Precoding , 2008, IEEE Transactions on Vehicular Technology.

[39]  Francesco Verde,et al.  On the Misbehavior of Constant Modulus Equalizers for Improper Modulations , 2007, IEEE Signal Processing Letters.

[40]  Sailes K. Sengijpta Fundamentals of Statistical Signal Processing: Estimation Theory , 1995 .

[41]  Geoffrey Ye Li,et al.  Adaptive Blind Source Separation and Equalization for Multiple-Input/Multiple-Output Systems , 1998, IEEE Trans. Inf. Theory.

[42]  Giacinto Gelli,et al.  Blind Direct Multiuser Detection for Uplink MC-CDMA: Performance Analysis and Robust Implementation , 2004, EURASIP J. Wirel. Commun. Netw..

[43]  Ignacio Santamaría,et al.  Effective channel order estimation based on combined identification/equalization , 2006, IEEE Transactions on Signal Processing.

[44]  Gaetano Giunta,et al.  A signal processing algorithm for multi-constant modulus equalization , 2013, 2013 36th International Conference on Telecommunications and Signal Processing (TSP).

[45]  Gerard J. Foschini,et al.  Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas , 1996, Bell Labs Technical Journal.

[46]  Tharmalingam Ratnarajah,et al.  HOS-Based Semi-Blind Spatial Equalization for MIMO Rayleigh Fading Channels , 2008, IEEE Transactions on Signal Processing.

[47]  A.B. Gershman,et al.  MIMO channel estimation: optimal training and tradeoffs between estimation techniques , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).