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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

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

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

Electromagnetic degrees of freedom are instrumental in antenna design, wireless communications, imaging, and scattering. Larger number of degrees of freedom enhances control in antenna design, influencing radiation patterns and directivity,…

Signal Processing · Electrical Eng. & Systems 2025-08-08 Mats Gustafsson

Extremely large-scale multiple-input multiple-output (XL-MIMO) communications, enabled by numerous antenna elements integrated into large antenna surfaces, can provide increased effective degree of freedom (EDoF) to achieve high diversity…

Information Theory · Computer Science 2024-12-25 Shaohua Yue , Liang Liu , Boya Di

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

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

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

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

This letter investigates the optimal antenna spacing for a near-field XL-MIMO communication system from the perspective of the array gain. Specifically, using the Green's function-based channel model, the letter analyzes the channel…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Xianzhe Chen , Hong Ren , Cunhua Pan , Zhangjie Peng , Jiangzhou Wang

The generalized degrees of freedom (GDoF) region of the MIMO Gaussian interference channel is obtained for the general case with an arbitrary number of antennas at each node and where the SNR and interference-to-noise ratios (INRs) vary…

Information Theory · Computer Science 2011-03-10 Sanjay Karmakar , Mahesh K. Varanasi

A concise tutorial is provided for analysis of the spatial degrees of freedom (DoFs) in continuous-aperture array (CAPA)-based continuous electromagnetic (EM) channels. First, a simplified spatial model is introduced using the Fresnel…

Signal Processing · Electrical Eng. & Systems 2025-03-11 Chongjun Ouyang , Boqun Zhao , Xingqi Zhang , Yuanwei Liu

The generalized degrees of freedom (GDoF) region of the MIMO Gaussian interference channel (IC) is obtained for the general case of an arbitrary number of antennas at each node and where the signal-to-noise ratios (SNR) and…

Information Theory · Computer Science 2011-03-15 Sanjay Karmakar , Mahesh K. Varanasi

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

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

We study the generalized degrees of freedom (gDoF) of block-fading noncoherent multiple input multiple output (MIMO) channels with asymmetric distributions of link strengths and a coherence time of T symbol durations. We derive the optimal…

Information Theory · Computer Science 2019-11-19 Joyson Sebastian , Suhas. N. Diggavi

This paper analyzes the spatial bandwidth of line-of-sight (LoS) channels in massive MIMO systems. For the linear large-scale antenna arrays (LSAA) of transceivers placed in random locations in 3D space, a simple but accurate closed-form…

Information Theory · Computer Science 2024-12-09 Zhen Wang , Yijin Pan , Jun-Bo Wang , Yijian Chen , Hongkang Yu

We investigate the total degrees of freedom (DoF) of the K-user rank-deficient interference channel with feedback. For the two-user case, we characterize the total DoF by developing an achievable scheme and deriving a matching upper bound.…

Information Theory · Computer Science 2016-11-17 Sung Ho Chae , Changho Suh , Sae-Young Chung

We characterize the total degrees of freedom (DoF) of the full-rank MIMO X channel with arbitrary number of antennas at each node. We elucidate that the existing outer bound is tight for any antenna configuration and provide transmit and…

Information Theory · Computer Science 2012-10-10 Adrian Agustin , Josep Vidal

The generalized degrees of freedom (GDoF) of the two user symmetric multiple input multiple output (MIMO) interference channel (IC) are characterized as a function of the channel strength levels and the level of channel state information at…

Information Theory · Computer Science 2017-05-03 Arash Gholami Davoodi , Syed A. Jafar
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