Precoder Feedback Schemes for Robust Interference Alignment With Bounded CSI Uncertainty

This article presents limited feedback-based precoder quantization schemes for Interference Alignment (IA) with bounded channel state information (CSI) uncertainty. Initially, this work generalizes the min-max mean squared error (MSE) framework, followed by the development of robust precoder and decoder designs based on worst case MSE minimization. The proposed precoder and decoder designs capture the effect of CSI uncertainty using a single parameter, which is independent of the CSI uncertainty in the direct links. The IA algorithms derived employing these proposed designs are shown to be globally convergent under certain conditions. Moreover, precoder quantization schemes are presented for scenarios with and without CSI uncertainty for practical implementation of these techniques in systems with limited feedback. An optimal bit allocation scheme is presented to maximize the sum rate via analysis of the rate loss upper bound. Simulation results demonstrate the improved performance of the proposed IA schemes for various scenarios considering imperfect CSI as well as limited feedback.

[1]  Kyoung-Jae Lee,et al.  Linear precoder designs for K-user interference channels , 2010, IEEE Transactions on Wireless Communications.

[2]  Tharmalingam Ratnarajah,et al.  Robust joint signal and interference alignment for MIMO cognitive radio network , 2012, 2012 IEEE Wireless Communications and Networking Conference (WCNC).

[3]  David Tse,et al.  Feasibility of Interference Alignment for the MIMO Interference Channel , 2013, IEEE Transactions on Information Theory.

[4]  Tharmalingam Ratnarajah,et al.  Adaptive LS- and MMSE-Based Beamformer Design for Multiuser MIMO Interference Channels , 2016, IEEE Transactions on Vehicular Technology.

[5]  Mohamed-Slim Alouini,et al.  Codebook-based interference alignment for uplink MIMO interference channels , 2014, Journal of Communications and Networks.

[6]  Robert W. Heath,et al.  Cooperative Algorithms for MIMO Interference Channels , 2010, IEEE Transactions on Vehicular Technology.

[7]  Venugopal V. Veeravalli,et al.  A Convergent Version of the Max SINR Algorithm for the MIMO Interference Channel , 2013, IEEE Transactions on Wireless Communications.

[8]  Carlos Beltrán,et al.  A Feasibility Test for Linear Interference Alignment in MIMO Channels With Constant Coefficients , 2012, IEEE Transactions on Information Theory.

[9]  Tobias Weber,et al.  Pair-Aware Interference Alignment in Multi-User Two-Way Relay Networks , 2013, IEEE Transactions on Wireless Communications.

[10]  Syed Ali Jafar,et al.  Approaching the Capacity of Wireless Networks through Distributed Interference Alignment , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[11]  Youngchul Sung,et al.  Least Squares Approach to Joint Beam Design for Interference Alignment in Multiuser Multi-Input Multi-Output Interference Channels , 2010, IEEE Transactions on Signal Processing.

[12]  Tharmalingam Ratnarajah,et al.  Performance Analysis of IA Techniques in the MIMO IBC With Imperfect CSI , 2015, IEEE Transactions on Communications.

[13]  Tiejun Lv,et al.  A new limited feedback scheme for interference alignment in two-cell interfering MIMO-MAC , 2012, 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications - (PIMRC).

[14]  Zhi-Quan Luo,et al.  Interference Alignment Using Finite and Dependent Channel Extensions: The Single Beam Case , 2013, IEEE Transactions on Information Theory.

[16]  Maxime Guillaud,et al.  Limited feedback for interference alignment in the K-user MIMO Interference Channel , 2012, 2012 IEEE Information Theory Workshop.

[17]  Navneet Garg,et al.  A quantization method for precoder feedback in interference channel , 2016, 2016 International Conference on Signal Processing and Communications (SPCOM).

[18]  Dimitris S. Papailiopoulos,et al.  Interference Alignment as a Rank Constrained Rank Minimization , 2010, IEEE Transactions on Signal Processing.

[19]  Wei Zhang,et al.  Interference Alignment in Device-to-Device LAN Underlaying Cellular Networks , 2014, IEEE Transactions on Wireless Communications.

[20]  Tiejun Lv,et al.  Interference alignment design for two-cell MIMO uplink systems with limited feedback , 2013, 2013 16th International Symposium on Wireless Personal Multimedia Communications (WPMC).

[21]  Nihar Jindal,et al.  Limited feedback-based block diagonalization for the MIMO broadcast channel , 2007, IEEE Journal on Selected Areas in Communications.

[22]  Hong Wang,et al.  Throughput Analysis of Interference Alignment for a General Centralized Limited Feedback Model , 2016, IEEE Transactions on Vehicular Technology.

[23]  Syed Ali Jafar,et al.  Interference Alignment and Degrees of Freedom of the $K$-User Interference Channel , 2008, IEEE Transactions on Information Theory.

[24]  Nihar Jindal,et al.  MIMO broadcast channels with finite rate feedback , 2006, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[25]  R. Berry,et al.  Minimum Mean Squared Error interference alignment , 2009, 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers.

[26]  Tharmalingam Ratnarajah,et al.  A robust interference alignment technique for the MIMO interference channel with uncertainties , 2013, 2013 IEEE International Conference on Communications Workshops (ICC).

[27]  Navneet Garg,et al.  Rate loss analysis for precoder feedback in interference channel with imperfect CSI , 2016, 2016 International Conference on Signal Processing and Communications (SPCOM).

[28]  Yi Sun,et al.  Interference Alignment Based on Antenna Selection With Imperfect Channel State Information in Cognitive Radio Networks , 2016, IEEE Transactions on Vehicular Technology.

[29]  Syed Ali Jafar,et al.  A Distributed Numerical Approach to Interference Alignment and Applications to Wireless Interference Networks , 2011, IEEE Transactions on Information Theory.

[30]  Meixia Tao,et al.  MSE-Based Transceiver Designs for the MIMO Interference Channel , 2010, IEEE Transactions on Wireless Communications.

[31]  Robert M. Gray,et al.  An Algorithm for Vector Quantizer Design , 1980, IEEE Trans. Commun..

[32]  Christian Lameiro,et al.  An interference alignment algorithm for structured channels , 2013, 2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[33]  Bruno Clerckx,et al.  Interference Alignment with Limited Feedback on Two-cell Interfering Two-User MIMO-MAC , 2010, ArXiv.

[34]  Mahesh K. Varanasi,et al.  Interference Alignment Under Limited Feedback for MIMO Interference Channels , 2013, IEEE Transactions on Signal Processing.

[35]  Young-Chai Ko,et al.  Limited Feedback Design for Interference Alignment on Two-Cell Interfering MIMO-MAC , 2015, IEEE Transactions on Vehicular Technology.

[36]  Tiejun Lv,et al.  Limited feedback schemes based on inter-cell interference alignment in two-cell interfering MIMO-MAC , 2013, 2013 IEEE International Conference on Communications (ICC).

[37]  Yonina C. Eldar,et al.  Robust mean-squared error estimation in the presence of model uncertainties , 2005, IEEE Transactions on Signal Processing.

[38]  Robert W. Heath,et al.  Interference Alignment with Analog Channel State Feedback , 2010, IEEE Transactions on Wireless Communications.

[39]  Mohammed El-Absi,et al.  Min-maxing interference alignment algorithm as a semidefinite programming problem , 2013, 2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[40]  Pan Cao,et al.  Grouping-Based Interference Alignment With IA-Cell Assignment in Multi-Cell MIMO MAC Under Limited Feedback , 2014, IEEE Transactions on Signal Processing.

[41]  Govind Sharma,et al.  Genetic max-SINR algorithm for interference alignment , 2015, 2015 IEEE International Conference on Advanced Networks and Telecommuncations Systems (ANTS).

[42]  Qian Sun,et al.  Joint interference alignment and power allocation in MIMO interference network , 2013, 2013 9th International Wireless Communications and Mobile Computing Conference (IWCMC).

[43]  Young-Chai Ko,et al.  Robust Transceiver Design Based on Joint Signal and Interference Alignment for MIMO Interference Channels With Imperfect Channel Knowledge , 2014, IEEE Communications Letters.

[44]  Zhi-Quan Luo,et al.  On the Degrees of Freedom Achievable Through Interference Alignment in a MIMO Interference Channel , 2011, IEEE Transactions on Signal Processing.

[45]  Govind Sharma,et al.  Reduced dimension superimposed precoder feedback for interference alignment , 2016, 2016 Twenty Second National Conference on Communication (NCC).

[46]  Tiejun Lv,et al.  Limited Feedback-Based Interference Alignment for Interfering Multi-Access Channels , 2014, IEEE Communications Letters.

[47]  Syed Ali Jafar,et al.  Subspace alignment chains and the degrees of freedom of the three-user MIMO interference channel , 2012, 2012 IEEE International Symposium on Information Theory Proceedings.

[48]  Gerhard Wunder,et al.  Robust Iterative Interference Alignment for Cellular Networks With Limited Feedback , 2015, IEEE Transactions on Wireless Communications.

[49]  Young-Chai Ko,et al.  Filter design of interference alignment scheme with limited feedback for two-cell interfering MIMO-MAC , 2013, 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[50]  Kin K. Leung,et al.  Feasibility Condition for Interference Alignment With Diversity , 2011, IEEE Transactions on Information Theory.

[51]  Hanbyul Seo,et al.  Interference Alignment for Uplink Cellular Systems with Limited Feedback , 2012, IEEE Communications Letters.

[52]  Xiang-Gen Xia,et al.  A Diversity Analysis for Distributed Interference Alignment Using the Max-SINR Algorithm , 2014, IEEE Transactions on Information Theory.

[53]  Robert W. Heath,et al.  Interference alignment via alternating minimization , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[54]  Roger S. Cheng,et al.  Clustering for Interference Alignment in Multiuser Interference Network , 2014, IEEE Transactions on Vehicular Technology.

[55]  Tricia J. Willink,et al.  Distributed Interference Alignment for Mobile MIMO Systems Based on Local CSI , 2014, IEEE Communications Letters.

[56]  Robert W. Heath,et al.  Maximum Sum-Rate Interference Alignment Algorithms for MIMO Channels , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[57]  David Tse,et al.  Feasibility of interference alignment for the MIMO interference channel: The symmetric square case , 2011, 2011 IEEE Information Theory Workshop.

[58]  Govind Sharma,et al.  Precoder quantization for interference alignment with limited feedback , 2015, 2015 IEEE Wireless Communications and Networking Conference (WCNC).

[60]  A. H. Kayran,et al.  On Feasibility of Interference Alignment in MIMO Interference Networks , 2009, IEEE Transactions on Signal Processing.

[61]  Govind Sharma,et al.  Precoder Quantization vs Channel Quantization in Interference Channel with Limited Feedback , 2017, 2017 Twenty-third National Conference on Communications (NCC).

[62]  Che-Chen Chou,et al.  A constraint relaxation version of the interference leakage minimization algorithm in MIMO interference channels , 2013, 2013 IEEE International Conference on Communications (ICC).