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We provide innerbound and outerbound for the total number of degrees of freedom of the $K$ user multiple input multiple output (MIMO) Gaussian interference channel with $M$ antennas at each transmitter and $N$ antennas at each receiver if…

Information Theory · Computer Science 2008-09-02 Tiangao Gou , Syed A. Jafar

This paper investigates the degrees of freedom (DoF) of the L-cluster, K-user MIMO multi-way relay channel, where users in each cluster wish to exchange messages within the cluster, and they can only communicate through the relay. A novel…

Information Theory · Computer Science 2013-08-07 Ye Tian , Aylin Yener

The \emph{degrees of freedom} (DoF) of the 3-user multiple-input multiple-output (MIMO) interference channel (IC) with full channel state information (CSI) and constant channel coefficients are characterized when linear filters are employed…

Information Theory · Computer Science 2014-08-01 Marc Torrellas , Adrian Agustin , Josep Vidal , Olga Muñoz

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

In this paper, we consider the K-user interference channel with partial cooperation, where a strict subset of the K users cooperate. For the K-user interference channel with cooperating subsets of length M, the outer bound of the total…

Information Theory · Computer Science 2011-06-02 Ahmed A. Naguib , Khaled Elsayed , Mohammed Nafie

We study the degrees of freedom (DoF) regions of two-user multiple-input multiple-output (MIMO) Z and full interference channels in this paper. We assume that the receivers always have perfect channel state information. We first derive the…

Information Theory · Computer Science 2010-11-10 Lei Ke , Zhengdao Wang

In this paper, we explore the benefits, in the sense of total (sum rate) degrees of freedom (DOF), of cooperation and cognitive message sharing for a two-user multiple-input-multiple-output (MIMO) Gaussian interference channel with $M_1$,…

Information Theory · Computer Science 2008-03-13 Chiachi Huang , Syed A. Jafar

We study a layered $K$-user $M$-hop Gaussian relay network consisting of $K_m$ nodes in the $m^{\operatorname{th}}$ layer, where $M\geq2$ and $K=K_1=K_{M+1}$. We observe that the time-varying nature of wireless channels or fading can be…

Information Theory · Computer Science 2015-03-17 Sang-Woon Jeon , Sae-Young Chung , Syed A. Jafar

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

We study the degrees of freedom (DOF) of a multiple-input multiple-output (MIMO) two-way X relay channel, where there are two groups of source nodes and one relay node, each equipped with multiple antennas, and each of the two source nodes…

Information Theory · Computer Science 2015-06-11 Zhengzheng Xiang , Meixia Tao , Jianhua Mo , Xiaodong Wang

This work is to study the degrees of freedom (DoF) for the $K$-user MIMO Y channel. Previously, two transmission frameworks have been proposed for the DoF analysis when $N \geq 2M$, where $M$ and $N$ denote the number of antennas at each…

Information Theory · Computer Science 2018-02-21 Kangqi Liu , Meixia Tao

In a $K$-pair-user two-way interference channel (TWIC), $2K$ messages and $2K$ transmitters/receivers form a $K$-user IC in the forward direction ($K$ messages) and another $K$-user IC in the backward direction which operate in full-duplex…

Information Theory · Computer Science 2013-11-28 Zhiyu Cheng , Natasha Devroye

We consider a single hop wireless X network with $K$ transmitters and $J$ receivers, all with single antenna. Each transmitter conveys for each receiver an independent message. The channel is assumed to have constant coefficients. We…

Information Theory · Computer Science 2011-09-15 Zhengdao Wang

In this paper, we characterize the asymmetric total degrees of freedom (DoF) of a multiple-input multiple-output (MIMO) 3-way channel. Each node has a separate-antenna full-duplex MIMO transceiver with a different number of antennas, where…

Information Theory · Computer Science 2016-08-02 Adel M. Elmahdy , Amr El-Keyi , Yahya Mohasseb , Tamer ElBatt , Mohammed Nafie , Karim G. Seddik , Tamer Khattab

The degrees of freedom (DoF) of the MIMO Y-channel, a multi-way communication network consisting of 3 users and a relay, are characterized for arbitrary number of antennas. The converse is provided by cut-set bounds and novel genie-aided…

Information Theory · Computer Science 2013-05-15 Anas Chaaban , Karlheinz Ochs , Aydin Sezgin

The sum secure degrees of freedom (s.d.o.f.) of two fundamental multi-user network structures, the K-user Gaussian multiple access (MAC) wiretap channel and the K-user interference channel (IC) with secrecy constraints, have been determined…

Information Theory · Computer Science 2016-11-17 Jianwei Xie , Sennur Ulukus

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

This paper theoretically characterizes the degrees-of-freedom (DoF) region of order-$(K-1)$ messages for the $K$-user multiple-input multiple-output (MIMO) broadcast channel with delayed channel state information at the transmitter (CSIT)…

Information Theory · Computer Science 2021-07-02 Tong Zhang , Shuai Wang , Taotao Wang , Rui Wang

The symmetric K user interference channel with fully connected topology is considered, in which (a) each receiver suffers interference from all other (K-1) transmitters, and (b) each transmitter has causal and noiseless feedback from its…

Information Theory · Computer Science 2012-12-24 Soheil Mohajer , Ravi Tandon , H. Vincent Poor

We study the sum degrees of freedom (DoF) of interference channels with hybrid beam-forming in which hybrid beam-forming composed of analog and digital precodings is employed at each node. For the two-user case, we completely characterize…

Information Theory · Computer Science 2015-04-28 Sung Ho Chae , Cheol Jeong