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

Meisam Razaviyayn, Gennady Lyubeznik, Zhi-Quan Luo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations

Abstract

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.

Original languageEnglish (US)
Title of host publication2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011
Pages511-515
Number of pages5
DOIs
StatePublished - Sep 16 2011
Event2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011 - San Francisco, CA, United States
Duration: Jun 26 2011Jun 29 2011

Publication series

NameIEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

Other

Other2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011
Country/TerritoryUnited States
CitySan Francisco, CA
Period6/26/116/29/11

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