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We study vector space interference alignment for the MIMO interference channel with no time or frequency diversity, and no symbol extensions. We prove both necessary and sufficient conditions for alignment. In particular, we characterize…

Information Theory · Computer Science 2018-06-18 Guy Bresler , Dustin Cartwright , David Tse

This paper studies vector space interference alignment for the three-user MIMO interference channel with no time or frequency diversity. The main result is a characterization of the feasibility of interference alignment in the symmetric…

Information Theory · Computer Science 2011-10-25 Guy Bresler , Dustin Cartwright , David Tse

Interference alignment in the K-user MIMO interference channel with constant channel coefficients is considered. A novel constructive method for finding the interference alignment solution is proposed for the case where the number of…

Information Theory · Computer Science 2016-11-18 Roland Tresch , Maxime Guillaud , Erwin Riegler

We explore the feasibility of interference alignment in signal vector space -- based only on beamforming -- for K-user MIMO interference channels. Our main contribution is to relate the feasibility issue to the problem of determining the…

Information Theory · Computer Science 2009-11-25 Cenk M. Yetis , Tiangao Gou , Syed A. Jafar , Ahmet H. Kayran

A constant K-user interference channel in which the users are not symbol-synchronous is considered. It is shown that the asynchronism among the users facilitates aligning interfering signals at each receiver node while it does not affect…

Information Theory · Computer Science 2015-03-17 Mehdi Torbatian , Hossein Najafi , Mohamed Oussama Damen

Consider a K-user flat fading MIMO interference channel where the k-th transmitter (or receiver) is equipped with M_k (respectively N_k) antennas. If a large number of statistically independent channel extensions are allowed either across…

Information Theory · Computer Science 2015-05-27 Meisam Razaviyayn , Gennady Lyubeznik , Zhi-Quan Luo

The degrees of freedom of MIMO interference networks with constant channel coefficients are not known in general. Determining the feasibility of a linear interference alignment solution is a key step toward solving this open problem. Our…

Information Theory · Computer Science 2015-05-13 Cenk M. Yetis , Syed A. Jafar , Ahmet H. Kayran

In this paper, we consider the feasibility of linear interference alignment (IA) for multiple-input multiple-output (MIMO) channels with constant coefficients for any number of users, antennas and streams per user; and propose a…

Information Theory · Computer Science 2014-03-14 Oscar Gonzalez , Carlos Beltran , Ignacio Santamaria

Interference alignment(IA) is mostly achieved by coding interference over multiple dimensions. Intuitively, the more interfering signals that need to be aligned, the larger the number of dimensions needed to align them. This dimensionality…

Information Theory · Computer Science 2016-01-19 Zainalabedin Samadi , Vahid Tabatabavakili , Farzan Haddadi

We propose a blind interference alignment scheme for the vector broadcast channel where the transmitter is equipped with M antennas and there are K receivers, each equipped with a reconfigurable antenna capable of switching among M preset…

Information Theory · Computer Science 2012-04-03 Chenwei Wang , Tiangao Gou , Syed A. Jafar

While interference alignment schemes have been employed to realize the full multiplexing gain of $K$-user interference channels, the analyses performed so far have predominantly focused on the case when global channel knowledge is available…

Information Theory · Computer Science 2009-12-01 Rajesh T Krishnamachari , Mahesh K Varanasi

In this paper, we analyze the feasibility of linear interference alignment (IA) for multi-input-multi-output (MIMO) interference broadcast channel (MIMO-IBC) with constant coefficients. We pose and prove the necessary conditions of linear…

Information Theory · Computer Science 2015-06-05 Tingting Liu , Chenyang Yang

Consider a MIMO interference channel whereby each transmitter and receiver are equipped with multiple antennas. The basic problem is to design optimal linear transceivers (or beamformers) that can maximize system throughput. The recent work…

Information Theory · Computer Science 2010-09-20 Meisam Razaviyayn , Maziar Sanjabi , Zhi-Quan Luo

The $K\times 2$ and $2\times K$, Multiple-Input Multiple-Output (MIMO) X channel with constant channel coefficients available at all transmitters and receivers is considered. A new alignment scheme, named \emph{layered interference…

Information Theory · Computer Science 2014-12-24 Seyyed Hassan Mahboubi , Mumtaz Hussain , Abolfazl Seyed Motahari , Amir Keyvan Khandani

In this paper, we study the number of different interference alignment (IA) solutions in a K-user multiple-input multiple-output (MIMO) interference channel, when the alignment is performed via beamforming and no symbol extensions are…

Information Theory · Computer Science 2014-05-30 Óscar González , Carlos Beltrán , Ignacio Santamaría

While the best known outerbound for the K user interference channel states that there cannot be more than K/2 degrees of freedom, it has been conjectured that in general the constant interference channel with any number of users has only…

Information Theory · Computer Science 2007-07-13 Viveck R. Cadambe , Syed A. Jafar

This paper presents a generalized closed-form beamforming technique that can achieve the maximum degrees of freedom in compounded multiple-input multiple-output (MIMO) broadcast channels with mixed classes of multiple-antenna users. The…

Information Theory · Computer Science 2020-04-27 Galymzhan Nauryzbayev , Emad Alsusa , Mohamed Abdallah

It is shown that a receiver equipped with two antennas may null an arbitrary large number of spatial directions to any desired accuracy, while maintaining the interference-free signal-to-noise ratio, by judiciously adjusting the distance…

Information Theory · Computer Science 2019-05-31 Amir Leshem , Uri Erez

We consider a constant $K$-user Gaussian interference channel with $M$ antennas at each transmitter and $N$ antennas at each receiver, denoted as a $(K,M,N)$ channel. Relying on a result on simultaneous Diophantine approximation, a real…

Information Theory · Computer Science 2013-01-29 Mahdi Zamanighomi , Zhengdao Wang

Vector space interference alignment (IA) is known to achieve high degrees of freedom (DoF) with infinite independent channel extensions, but its performance is largely unknown for a finite number of possibly dependent channel extensions. In…

Information Theory · Computer Science 2016-11-17 Ruoyu Sun , Zhi-Quan Luo
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