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As wireless technology begins to utilize physically larger arrays and/or higher frequencies, the transmitter and receiver will reside in each other's radiative near field. This fact gives rise to unusual propagation phenomena such as…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Alva Kosasih , Özlem Tuğfe Demir , Nikolaos Kolomvakis , Emil Björnson

We study the degrees of freedom (DoF) of a $K$-user parallel MISO broadcast channel with arbitrary levels of partial CSIT over each subchannel. We derive a sum-DoF upperbound which depends on the average CSIT quality of each user. This…

Information Theory · Computer Science 2017-07-11 Hamdi Joudeh , Bruno Clerckx

The generalized degrees of freedom (GDoF) characterization of the symmetric K-user interference channel is obtained under finite precision channel state information at the transmitters (CSIT). The symmetric setting is where each cross…

Information Theory · Computer Science 2016-01-26 Arash Gholami Davoodi , Syed A. Jafar

The two-user multiple-input multiple-output (MIMO) interference channel (IC) with arbitrary number of antennas at each terminal is considered and the degrees of freedom (DoF) region is characterized in the presence of noiseless channel…

Information Theory · Computer Science 2016-11-17 Ravi Tandon , Soheil Mohajer , H. Vincent Poor , Shlomo Shamai

We establish the DoF region for the MIMO 2x2 interference network with a general message set, consisting of nine messages, one for each pair of a subset of transmitters at which that message is known and a subset of receivers where that…

Information Theory · Computer Science 2016-03-08 Yao Wang , Mahesh K. Varanasi

We consider the two-hop interference channel (IC) with constant real channel coefficients, which consists of two source-destination pairs, separated by two relays. We analyze the achievable degrees of freedom (DoF) of such network when…

Information Theory · Computer Science 2013-05-20 Ibrahim Issa , Silas L. Fong , A. Salman Avestimehr

We show that the 3 user M_T x M_R MIMO interference channel has d(M,N)=min(M/(2-1/k),N/(2+1/k)) degrees of freedom (DoF) normalized by time, frequency, and space dimensions, where M=min(M_T,M_R), N=max(M_T,M_R), k=ceil{M/(N-M)}. While the…

Information Theory · Computer Science 2011-09-21 Chenwei Wang , Tiangao Gou , Syed A. Jafar

We study the number of degrees of freedom (DOFs) in quadratic scalar-nonmetricity (QSN) theory, whose Lagrangian is the linear combination of five quadratic nonmetricity invariants with coefficients depending on a dynamical scalar field.…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Jia-Jun Chen , Zheng Chen , Xian Gao

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

The degrees of freedom (DoF) region of the fast-fading MIMO (multiple-input multiple-output) Gaussian broadcast channel (BC) is studied when there is delayed channel state information at the transmitter (CSIT). In this setting, the channel…

Information Theory · Computer Science 2011-12-26 Chinmay S. Vaze , Mahesh K. Varanasi

We characterize the degrees of freedom (DoF) of multi-way relay MIMO interference networks. In particular, we consider a wireless network consisting of 4 user nodes, each with M antennas, and one N-antenna relay node. In this network, each…

Information Theory · Computer Science 2014-01-23 Chenwei Wang

The study of degrees of freedom (DoF) of multiuser channels has led to the development of important interference managing schemes, such as interference alignment (IA) and interference neutralization. However, while the integer DoF have been…

Information Theory · Computer Science 2014-12-24 Edin Zhang , Chiachi Huang , Huai-Yan Feng

We consider the three-receiver Gaussian multiple-input multiple-output (MIMO) broadcast channel with an arbitrary number of antennas at each of the transmitter and the receivers. We investigate the degrees-of-freedom (DoF) region of the…

Information Theory · Computer Science 2016-08-12 Behzad Asadi , Lawrence Ong , Sarah J. Johnson

The number of degrees of freedom (NDoF) in a communication channel fundamentally limits the number of independent spatial modes available for transmitting and receiving information. Although the NDoF can be computed numerically for specific…

Signal Processing · Electrical Eng. & Systems 2025-09-23 Mats Gustafsson

We consider not necessarily Lagrangian partial linear differential equations (PDE) with constant coefficients. Einstein proposed a definition of the"strength" of such a field theory that defines its degree of freedom (DoF). Einsteinian…

Mathematical Physics · Physics 2025-05-14 Simon Lyakhovich , Dmitri Piontkovski

For a $K$-user interference channel with $M$ antenna at each transmitter and each receiver, the maximum total DoF of this channel has been previously determined to be $\max \sum_{k=1}^K d_k = MK/2$. However, the DoF region remains to be…

Information Theory · Computer Science 2010-11-17 Huarui Yin

This contribution investigates the Degrees-of-Freedom region of a two-user frequency correlated Multiple-Input-Single-Output (MISO) Broadcast Channel (BC) with imperfect Channel State Information at the transmitter (CSIT). We assume that…

Information Theory · Computer Science 2013-10-25 Chenxi Hao , Borzoo Rassouli , Bruno Clerckx

Wireless fading networks with multiple antennas are typically studied information-theoretically from two different perspectives - the outage characterization and the ergodic capacity characterization. A key parameter in the outage…

Information Theory · Computer Science 2008-02-14 K. Sreeram , S. Birenjith , P. Vijay Kumar

In this paper, we investigate the generalized degrees-of-freedom (GDoF) of the asymmetric interference channel with delayed channel state information at the transmitter (CSIT), where each transmitter has two antennas, each receiver has one…

Information Theory · Computer Science 2022-05-04 Tong Zhang , Yufan Zhuang , Yinfei Xu

This paper studies the sum Degrees of Freedom (DoF) of $K$-user {\em asymmetric} MIMO Interference Channel (IC) with square direct link channel matrices, that is, the $u$-th transmitter and its intended receiver have $M_u\in\mathbb{N}$…

Information Theory · Computer Science 2014-10-21 Tang Liu , Daniela Tuninetti , Syed A. Jafar
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