Robust Interference Management via Linear Precoding and Linear/Non-Linear Equalization

This work studies the robust design of linear precoding and linear/ non-linear equalization for multi-cell MIMO systems in the presence of imperfect channel state information (CSI). A worst-case design approach is adopted whereby the CSI error is assumed to lie within spherical sets of known radius....

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Published in:	Journal of signal processing systems Vol. 83; no. 2; pp. 133 - 149
Main Authors:	Park, Seok-Hwan, Fouladgar, Ali M., Elkourdi, Tariq, Simeone, Osvaldo, Sahin, Onur, Shamai (Shitz), Shlomo
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.05.2016
Subjects:	Channels Circuits and Systems Computer Imaging Design engineering Electrical Engineering Engineering Equalization Image Processing and Computer Vision Interference Mathematical models Nonlinearity Optimization Pattern Recognition Pattern Recognition and Graphics Signal processing Signal,Image and Speech Processing Vision Sum-rate maximization Multi-cell MIMO Bounded uncertainty Robust optimization Linear precoding Decision-feedback equalization ADMM
ISSN:	1939-8018, 1939-8115
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Abstract	This work studies the robust design of linear precoding and linear/ non-linear equalization for multi-cell MIMO systems in the presence of imperfect channel state information (CSI). A worst-case design approach is adopted whereby the CSI error is assumed to lie within spherical sets of known radius. First, the optimal robust design of linear precoders is tackled for a MIMO interference broadcast channel (MIMO-IBC) with general unicast/multicast messages in each cell and operating over multiple time-frequency resources. This problem is formulated as the maximization of the worst-case sum-rate assuming optimal detection at the mobile stations (MSs). Then, symbol-by-symbol non-linear equalization at the MSs is considered. In this case, the problem of jointly optimizing linear precoding and decision-feedback (DF) equalization is investigated for a MIMO interference channel (MIMO-IC) with the goal of minimizing the worst-case sum-mean squared error (MSE). Both problems are addressed by proposing iterative algorithms with descent properties. The algorithms are also shown to be implementable in a distributed fashion on processors that have only local and partial CSI by means of the Alternating Direction Method of Multipliers (ADMM). From numerical results, it is shown that the proposed robust solutions significantly improve over conventional non-robust schemes in terms of sum-rate or symbol error rate. Moreover, it is seen that the proposed joint design of linear precoding and DF equalization outperforms existing separate solutions.
AbstractList	This work studies the robust design of linear precoding and linear/ non-linear equalization for multi-cell MIMO systems in the presence of imperfect channel state information (CSI). A worst-case design approach is adopted whereby the CSI error is assumed to lie within spherical sets of known radius. First, the optimal robust design of linear precoders is tackled for a MIMO interference broadcast channel (MIMO-IBC) with general unicast/multicast messages in each cell and operating over multiple time-frequency resources. This problem is formulated as the maximization of the worst-case sum-rate assuming optimal detection at the mobile stations (MSs). Then, symbol-by-symbol non-linear equalization at the MSs is considered. In this case, the problem of jointly optimizing linear precoding and decision-feedback (DF) equalization is investigated for a MIMO interference channel (MIMO-IC) with the goal of minimizing the worst-case sum-mean squared error (MSE). Both problems are addressed by proposing iterative algorithms with descent properties. The algorithms are also shown to be implementable in a distributed fashion on processors that have only local and partial CSI by means of the Alternating Direction Method of Multipliers (ADMM). From numerical results, it is shown that the proposed robust solutions significantly improve over conventional non-robust schemes in terms of sum-rate or symbol error rate. Moreover, it is seen that the proposed joint design of linear precoding and DF equalization outperforms existing separate solutions.
Author	Simeone, Osvaldo Fouladgar, Ali M. Sahin, Onur Shamai (Shitz), Shlomo Park, Seok-Hwan Elkourdi, Tariq
Author_xml	– sequence: 1 givenname: Seok-Hwan surname: Park fullname: Park, Seok-Hwan organization: Chonbuk National University – sequence: 2 givenname: Ali M. surname: Fouladgar fullname: Fouladgar, Ali M. email: af82@njit.edu organization: The Center for Wireless Communications and Signal Processing Research (CWCSPR) ECE Department, New Jersey Institute of Technology (NJIT) – sequence: 3 givenname: Tariq surname: Elkourdi fullname: Elkourdi, Tariq organization: The Center for Wireless Communications and Signal Processing Research (CWCSPR) ECE Department, New Jersey Institute of Technology (NJIT) – sequence: 4 givenname: Osvaldo surname: Simeone fullname: Simeone, Osvaldo organization: The Center for Wireless Communications and Signal Processing Research (CWCSPR) ECE Department, New Jersey Institute of Technology (NJIT) – sequence: 5 givenname: Onur surname: Sahin fullname: Sahin, Onur organization: InterDigital Inc – sequence: 6 givenname: Shlomo surname: Shamai (Shitz) fullname: Shamai (Shitz), Shlomo organization: The Department of Electrical Engineering, Technion
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SubjectTerms	Channels Circuits and Systems Computer Imaging Design engineering Electrical Engineering Engineering Equalization Image Processing and Computer Vision Interference Mathematical models Nonlinearity Optimization Pattern Recognition Pattern Recognition and Graphics Signal processing Signal,Image and Speech Processing Vision
Title	Robust Interference Management via Linear Precoding and Linear/Non-Linear Equalization
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