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The number of spatial degrees of freedom (NDoF) and channel strength in antenna systems are examined within a geometric framework. Starting from a correlation-operator representation of the channel between transmitter and receiver regions,…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Mats Gustafsson , Yaniv Brick

For wireless communications using linear large-scale antenna arrays, we define a receiving coordinate system and parameterization strategy to facilitate the study of the impact of three-dimensional position and rotation of the arrays on the…

Information Theory · Computer Science 2022-03-21 Liqin Ding , Erik G. Ström , Jiliang Zhang

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

Conventional far-field multiple-input multiple-output (MIMO) channels are limited to a single spatial degree of freedom (DoF) under a line-of-sight (LoS) condition. In contrast, the radiative near field (NF) supports multiple spatial DoF,…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Ahmed Hussain , Asmaa Abdallah , Ahmed Nasser , Abdulkadir Celik , Ahmed M. Eltawil

This paper examines the number of communication modes, that is, the degrees of freedom (DoF) in a wireless line-of-sight channel comprising a small continuous linear intelligent antenna array in the near field of a large one. The framework…

Information Theory · Computer Science 2025-07-17 Athanasios G. Kanatas , Harris K. Armeniakos , Harpreet S. Dhillon , Marco Di Renzo

This paper considers a scenario in which a source-destination pair needs to establish a confidential connection against an external eavesdropper, aided by the interference generated by another source-destination pair that exchanges public…

Information Theory · Computer Science 2016-12-21 Lingxiang Li , Athina P. Petropulu , Zhi Chen , Jun Fang

Multiple-antenna technologies are advancing towards large-scale aperture sizes and extremely high frequencies, leading to the emergence of near-field communications (NFC) in future wireless systems. To this context, we investigate the…

Information Theory · Computer Science 2023-08-03 Chongjun Ouyang , Yuanwei Liu , Xingqi Zhang , Lajos Hanzo

This paper fully determines the degree-of-freedom (DoF) region of two-user interference channels with arbitrary number of transmit and receive antennas and isotropic fading, where the channel state information is available to the receivers…

Information Theory · Computer Science 2011-08-23 Yan Zhu , Dongning Guo

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

We consider a line-of-sight communication link between two holographic surfaces (HoloSs), and provide a closed-form expression for the effective degrees of freedom (eDoF), i.e., the number of orthogonal communication modes that can be…

Information Theory · Computer Science 2025-06-17 Juan Carlos Ruiz-Sicilia , Marco Di Renzo , Marco Donald Migliore , Merouane Debbah , H. Vincent Poor

The Generalized Degrees of Freedom (GDoF) of the two user interference channel are characterized for all parameter regimes under the assumption of finite precision channel state information at the transmitters (CSIT), when a limited amount…

Information Theory · Computer Science 2019-08-05 Junge Wang , Bofeng Yuan , Lexiang Huang , Syed A. Jafar

In the study of nonlinear inverse scattering problems (ISPs), the traditional method for estimating the number of degrees of freedom (NDoF) of the scattered field does not consider the effect of the scatterer contrast. In this work, we…

Computational Physics · Physics 2022-12-20 Zhichao Lin , Rui Guo , Tao Shan , Maokun Li , Fan Yang , Shenheng Xu , Aria Abubakar

This paper studies the problem of sum-secure degrees of freedom (SDoF) of the (M,M,N,N) multiple-input multiple-output (MIMO) interference channel with local output feedback, so as to build an information-theoretic foundation and provide…

Information Theory · Computer Science 2021-02-16 Tong Zhang , Yinfei Xu , Shuai Wang , Miaowen Wen , Rui Wang

Degree of freedom (DoF) region provides an approximation of capacity region in high signal-to-noise ratio (SNR) regime, while sum DoF gives the scaling factor. In this correspondence, we analyse the DoF region and sum DoF for unicast…

Information Theory · Computer Science 2015-03-17 Feng Liu , Chung Chan , Ying Jun , Zhang

The secrecy degrees of freedom (SDoF) of the Gaussian multiple-input and single-output (MISO) wiretap channel is studied under the assumption that delayed channel state information (CSI) is available at the transmitter and each receiver…

Information Theory · Computer Science 2011-08-09 Sheng Yang , Pablo Piantanida , Mari Kobayashi , Shlomo Shamai

In this paper, we study the spatial bandwidth for line-of-sight (LOS) channels with linear large-scale antenna arrays (LSAAs) in 3D space. We provide approximations to the spatial bandwidth at the center of the receiving array, of the form…

Information Theory · Computer Science 2023-08-15 Liqin Ding , Jiliang Zhang , Erik G. Ström

In this paper, a multiple antenna wire-tap channel in the presence of a multi-antenna cooperative jammer is studied. In particular, the secure degrees of freedom (s.d.o.f.) of this channel is established, with $N_t$ antennas at the…

Information Theory · Computer Science 2015-12-24 Mohamed Nafea , Aylin Yener

We consider the Gaussian multiple-input multiple-output (MIMO) broadcast channel with common and private messages. We obtain the degrees of freedom (DoF) region of this channel. We first show that a parallel Gaussian broadcast channel with…

Information Theory · Computer Science 2011-06-14 Ersen Ekrem , Sennur Ulukus

An alternative derivation is provided for the degrees of freedom (DOF) formula on line-of-sight (LOS) channels via Landau's eigenvalue theorem for bandlimited signals. Compared to other approaches, Landau's theorem provides a general…

Information Theory · Computer Science 2022-10-12 Andrea Pizzo , Angel Lozano

The degrees of freedom (DoF) available for communication provides an analytically tractable way to characterize the information-theoretic capacity of interference channels. In this paper, the DoF of a K-user interference channel is studied…

Information Theory · Computer Science 2016-11-15 Aly El Gamal , V. Sreekanth Annapureddy , Venugopal V. Veeravalli
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