TY - GEN

T1 - On the degrees of freedom achievable through interference alignment in a MIMO interference channel

AU - Razaviyayn, Meisam

AU - Lyubeznik, Gennady

AU - Luo, Zhi-Quan

PY - 2011/9/16

Y1 - 2011/9/16

N2 - Consider a K-user flat fading MIMO interference channel where the k-th transmitter (or receiver) is equipped with Mk (respectively N k) antennas. If a large number of statistically independent channel extensions are allowed either across time or frequency, the recent work [1] suggests that the total achievable degrees of freedom (DoF) can be maximized via interference alignment, resulting in a total DoF that grows linearly with K even if Mk and Nk are bounded. In this work we consider the case where no channel extension is allowed, and establish a general condition that must be satisfied by any degrees of freedom tuple achievable through linear interference alignment. When Mk = M and Nk = N for all k, this condition implies that the total achievable DoF cannot grow linearly with K, and is in fact no more than M + N - 1. If, in addition, all users have the same DoF d = 1, then this upper bound on the total DoF is actually tight for almost all MIMO interference channels.

AB - Consider a K-user flat fading MIMO interference channel where the k-th transmitter (or receiver) is equipped with Mk (respectively N k) antennas. If a large number of statistically independent channel extensions are allowed either across time or frequency, the recent work [1] suggests that the total achievable degrees of freedom (DoF) can be maximized via interference alignment, resulting in a total DoF that grows linearly with K even if Mk and Nk are bounded. In this work we consider the case where no channel extension is allowed, and establish a general condition that must be satisfied by any degrees of freedom tuple achievable through linear interference alignment. When Mk = M and Nk = N for all k, this condition implies that the total achievable DoF cannot grow linearly with K, and is in fact no more than M + N - 1. If, in addition, all users have the same DoF d = 1, then this upper bound on the total DoF is actually tight for almost all MIMO interference channels.

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U2 - 10.1109/SPAWC.2011.5990463

DO - 10.1109/SPAWC.2011.5990463

M3 - Conference contribution

AN - SCOPUS:80052675841

SN - 9781424493326

T3 - IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

SP - 511

EP - 515

BT - 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011

T2 - 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011

Y2 - 26 June 2011 through 29 June 2011

ER -