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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

Fluid antenna system (FAS) is able to exploit spatial degrees of freedom (DoFs) in wireless channels. In this letter, to exploit spatial DoFs in frequency-selective environments, we investigate an orthogonal frequency division multiplexing…

Information Theory · Computer Science 2026-02-10 Heyang Xiong , Quanzhong Li , Qi Zhang

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 derive the DoF…

Information Theory · Computer Science 2010-03-23 Lei Ke , Zhengdao Wang

Antenna arrays have many applications in direction-of-arrival (DOA) estimation. Sparse arrays such as nested arrays, super nested arrays, and coprime arrays have large degrees of freedom (DOFs). They can estimate large number of sources…

Signal Processing · Electrical Eng. & Systems 2021-01-12 Saleh A. Alawsh , Ali H. Muqaibel

We study the effects of instantaneous feedback of channel topology on the degrees of freedom (DoF) of the bursty MIMO X channel, where the four transmitter-receiver links are intermittently on-and-off, governed by four independent Bernoulli…

Information Theory · Computer Science 2018-05-08 Shih-Yi Yeh , I-Hsiang Wang

The Fluid Antenna System (FAS) overcomes the spatial degree-of-freedom limitations of conventional static antenna arrays in wireless communications.This capability critically depends on acquiring full Channel State Information across all…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Xuehui Dong , Kai Wan , Shuangyang Li , Robert Caiming Qiu , Giuseppe Caire

In recent years, direction of arrival estimation utilizing non-circular signals has become a focal point for scholarly research. To enhance the degrees of freedom (DOF) in receiver arrays specifically for non-circular signal DOA estimation,…

Networking and Internet Architecture · Computer Science 2026-05-06 Dongqi Chen , Kun Ye , Chuanxi Xing , Waqas Khalid , Huiping Huang

In this work, a novel design of electromagnetically reconfigurable antennas (ERAs) based on a fluid antenna system (FAS) is proposed, and the corresponding wireless channel model is established. Different from conventional antenna arrays…

Systems and Control · Electrical Eng. & Systems 2025-05-06 Ruiqi Wang , Pinjun Zheng , Tareq Y. Al-Naffouri , Atif Shamim

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

Array structures based on the sum and difference co-arrays provide more degrees of freedom (DOF). However, since the growth of DOF is limited by a single case of sum and difference co-arrays, the paper aims to design a sparse linear array…

Signal Processing · Electrical Eng. & Systems 2025-04-24 Si Wang , Guoqiang Xiao

The Degrees of Freedom (DoF) of a K-User MISO Broadcast Channel (BC) is studied when the Transmitter (TX) has access to a delayed channel estimate in addition to an imperfect estimate of the current channel. The current estimate could be…

Information Theory · Computer Science 2013-01-11 Paul de Kerret , Xinping Yi , David Gesbert

Fluid antenna (FA) technology has emerged as a promising approach in wireless communications due to its capability of providing increased degrees of freedom (DoFs) and exceptional design flexibility. This paper addresses the challenge of…

Signal Processing · Electrical Eng. & Systems 2025-08-15 He Xu , Tuo Wu , Ye Tian , Kangda Zhi , Wei Liu , Baiyang Liu , Hing Cheung So , Naofal Al-Dhahir , Kin-Fai Tong , Chan-Byoung Chae , Kai-Kit Wong

Performance analysis is carried out in a near-field multiple-input multiple-output (MIMO) system for both discrete and continuous aperture antennas. The effective degrees of freedom (EDoF) is first derived. It is shown that near-field MIMO…

Information Theory · Computer Science 2023-10-03 Ziyi Xie , Yuanwei Liu , Jiaqi Xu , Xuanli Wu , Arumugam Nallanathan

In order to clarify the statistical features of complex networks, the spectral density of adjacency matrices has often been investigated. Adopting a static model introduced by Goh, Kahng and Kim, we analyse the spectral density of complex…

Statistical Mechanics · Physics 2009-11-13 Taro Nagao , G. J. Rodgers

Continuous aperture arrays (CAPAs) provide a theoretical upper bound on the performance of densely packed antenna arrays, but their analysis is limited by the lack of closed-form signal-to-noise ratio (SNR) distributions under realistic…

Signal Processing · Electrical Eng. & Systems 2026-03-13 Amy S. Inwood , Abdulla Firag , Peter J. Smith , Michail Matthaiou

A mutual coupling-aware beamforming design for continuous aperture array (CAPA)-aided multi-user systems is investigated. First, a transmit coupling kernel is characterized to explicitly capture the mutual coupling effects inherent in…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Junjie Ye , Zhaolin Wang , Yuanwei Liu , Peichang Zhang , Lei Huang , Arumugam Nallanathan

This paper considers the problem of direction-of-arrival (DOA) estimation of coherent signals on passive coprime arrays, where we resort to the fourth-order cumulants of the received signal to explore more information. A fourth-order…

Information Theory · Computer Science 2017-01-24 Yang Hu , Yimin Liu , Xiqin Wang

In continuous aperture arrays (CAPAs), careful consideration of the underlying physics is essential, among which electromagnetic (EM) mutual coupling plays a critical role in beamforming performance. Building on a physically consistent…

Information Theory · Computer Science 2026-02-25 Geonhee Lee , Kwonyeol Park , Hyeongjun Park , Jinwoo An , Junil Choi

We provide the degrees of freedom (DoF) characterization for the $3$-user $M_T\times M_R$ multiple-input multiple-output (MIMO) interference channel (IC) with \emph{rank-deficient} channel matrices, where each transmitter is equipped with…

Information Theory · Computer Science 2016-11-17 Yong Zeng , Xiaoli Xu , Yong Liang Guan , Erry Gunawan , Chenwei Wang

This work explores how degrees of freedom (DoF) results from wireless networks can be translated into capacity results for their finite field counterparts that arise in network coding applications. The main insight is that scalar (SISO)…

Information Theory · Computer Science 2013-04-30 Sundar R. Krishnamurthy , Syed A. Jafar