User Arrival in MIMO Interference Alignment Networks

In this paper we analyze a constant multiple-input multiple-output interference channel where a set of active users are cooperating through interference alignment while a set of secondary users desire access to the channel. We find the minimum number of secondary transmit antennas required so that a secondary user can use the channel without affecting the sum rate of the active users, under a zero-forcing equalization assumption. When the secondary users have enough antennas, we derive several secondary user precoders that approximately maximize the secondary users' sum rate without changing the sum rate of the active users. When the secondary users do not have enough antennas, we perform numerical optimization to find secondary user precoders that cause minimum degradation to the sum rate of the active users. Through simulations, we confirm that i) with enough antennas at the secondary users, gains equivalent to the case of all the users cooperating through interference alignment is obtainable, and ii) when the secondary users do not have enough antennas, large rate losses at the active users can be avoided.channels

[1]  Hua Wang,et al.  Gaussian Interference Channel Capacity to Within One Bit , 2007, IEEE Transactions on Information Theory.

[2]  R. Heath,et al.  Orthogonalization to Reduce Overhead in MIMO Interference Channels , 2010 .

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

[4]  Shlomo Shamai,et al.  A layered lattice coding scheme for a class of three user Gaussian interference channels , 2008, 2008 46th Annual Allerton Conference on Communication, Control, and Computing.

[5]  Te Sun Han,et al.  A new achievable rate region for the interference channel , 1981, IEEE Trans. Inf. Theory.

[6]  Jeffrey G. Andrews,et al.  Fundamentals of Lte , 2010 .

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

[8]  Mérouane Debbah,et al.  Opportunistic interference alignment in MIMO interference channels , 2008, 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications.

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

[10]  Emmanuel J. Candès,et al.  Decoding by linear programming , 2005, IEEE Transactions on Information Theory.

[11]  Robert W. Heath,et al.  What is the value of limited feedback for MIMO channels? , 2004, IEEE Communications Magazine.

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

[13]  Robert W. Heath,et al.  Limited feedback unitary precoding for orthogonal space-time block codes , 2005, IEEE Transactions on Signal Processing.

[14]  Ana I. Pérez-Neira,et al.  Spatial scheduling in multiuser wireless systems: from power allocation to admission control , 2006, IEEE Transactions on Wireless Communications.

[15]  Jeffrey G. Andrews,et al.  A simple SINR characterization for linear interference alignment over uncertain MIMO channels , 2010, 2010 IEEE International Symposium on Information Theory.

[16]  Amir K. Khandani,et al.  Communication Over MIMO X Channels: Interference Alignment, Decomposition, and Performance Analysis , 2008, IEEE Transactions on Information Theory.

[17]  Jeffrey G. Andrews,et al.  User admission in MIMO interference alignment networks , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[18]  George A. F. Seber,et al.  A matrix handbook for statisticians , 2007 .

[19]  Leandros Tassiulas,et al.  Convex approximation techniques for joint multiuser downlink beamforming and admission control , 2008, IEEE Transactions on Wireless Communications.

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

[21]  Robert W. Heath,et al.  Designing structured tight frames via an alternating projection method , 2005, IEEE Transactions on Information Theory.

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

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

[24]  Mats Bengtsson,et al.  Low Complexity Admission in Downlink Beamforming , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[25]  Erwin Riegler,et al.  On the achievability of interference alignment in the K-user constant MIMO interference channel , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

[26]  Jonathan H. Manton,et al.  Optimization algorithms exploiting unitary constraints , 2002, IEEE Trans. Signal Process..

[27]  Mahesh K. Varanasi,et al.  Interference Alignment Under Limited Feedback for MIMO Interference Channels , 2013, IEEE Trans. Signal Process..

[28]  P. Schönemann,et al.  A generalized solution of the orthogonal procrustes problem , 1966 .

[29]  Jeffrey G. Andrews,et al.  MIMO Interference Alignment Over Correlated Channels With Imperfect CSI , 2010, IEEE Transactions on Signal Processing.

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