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A coprime array receiver processes a collection of received-signal snapshots to estimate the autocorrelation matrix of a larger (virtual) uniform linear array, known as coarray. By the received-signal model, this matrix has to be (i)…

信号处理 · 电气工程与系统科学 2020-08-31 Dimitris G. Chachlakis , Panos P. Markopoulos

In this paper the authors prove fundamental decomposition theorems pertaining to the internal structure of monoidal triangulated categories (M$\Delta$Cs). The tensor structure of an M$\Delta$C enables one to view these categories like…

范畴论 · 数学 2023-12-19 Daniel K. Nakano , Kent B. Vashaw , Milen T. Yakimov

Sparse array (SA) geometries, such as coprime and nested arrays, can be regarded as a concatenation of two uniform linear arrays (ULAs). Such arrays lead to a significant increase of the number of degrees of freedom (DOF) when the…

信号处理 · 电气工程与系统科学 2022-01-05 Wanlu Shi , Sergiy A. Vorobyov , Yingsong Li

Radio interferometry has always faced the problem of incomplete sampling of the Fourier plane. A possible remedy can be found in the promising new theory of compressed sensing (CS), which allows for the accurate recovery of sparse signals…

天体物理仪器与方法 · 物理学 2015-12-22 Clara Fannjiang

We propose constructions of codes over quotient rings of Eisenstein integers equipped with the Euclidean, square Euclidean, and hexagonal distances as a generalization of codes over Eisenstein integer fields. By set partitioning, we…

信息论 · 计算机科学 2025-08-28 Abdul Hadi , Uha Isnaini , Indah Emilia Wijayanti , Martianus Frederic Ezerman

Computing Fourier transforms of k-sparse signals, where only k of N frequencies are non-zero, is fundamental in compressed sensing, radar, and medical imaging. While the Fast Fourier Transform (FFT) evaluates all N frequencies in $O(N \log…

信号处理 · 电气工程与系统科学 2026-04-22 Aaron R. Flouro , Shawn P. Chadwick

Due to the growing request from modern wireless applications of cost-affordable and high-gain scanning antenna solutions, the design of large phased arrays (PAs) with radiating elements organized into modular clusters with sub-array-only…

系统与控制 · 电气工程与系统科学 2025-08-14 Nicola Anselmi , Paolo Rocca , Giovanni Toso , Andrea Massa

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…

信息论 · 计算机科学 2010-11-10 Lei Ke , Zhengdao Wang

The problem of robustly reconstructing an integer vector from its erroneous remainders appears in many applications in the field of multidimensional (MD) signal processing. To address this problem, a robust MD Chinese remainder theorem…

信号处理 · 电气工程与系统科学 2023-11-21 Li Xiao , Haiye Huo , Xiang-Gen Xia

Integrated sensing and communication has been identified as an enabling technology for forthcoming wireless networks. In an effort to achieve an improved performance trade-off between multiuser communications and radar sensing, this paper…

信号处理 · 电气工程与系统科学 2025-02-17 Rang Liu , Ming Li , Qian Liu , A. Lee Swindlehurst

Conventional antenna arrays rely primarily on digital beamforming for spatial control. While adding more elements can narrow beamwidth and suppress interference, such scaling incurs prohibitive hardware and power costs. Rotatable antennas…

信号处理 · 电气工程与系统科学 2025-09-29 Xingxiang Peng , Qingqing Wu , Ziyuan Zheng , Wen Chen , Yanze Zhu , Ying Gao

In most multiple-input multiple-output (MIMO) communication systems, e.g., Massive MIMO, the antenna spacing is generally no less than half a wavelength. It helps to reduce the mutual coupling and therefore facilitate the system design. The…

信息论 · 计算机科学 2022-04-26 Liangcheng Han , Haifan Yin , Thomas L. Marzetta

We study the symmetric degrees-of-freedom (DoF) of partially connected interference networks under linear coding strategies at transmitters without channel state information beyond topology. We assume that the receivers are equipped with…

信息论 · 计算机科学 2016-11-15 Heecheol Yang , Navid Naderializadeh , Amir Salman Avestimehr , Jungwoo Lee

Structured codes based on lattices were shown to provide enlarged capacity for multi-user communication networks. In this paper, we study capacity-approaching irregular repeat accumulate (IRA) codes over integer rings $\mathbb{Z}_{2^{m}}$…

信息论 · 计算机科学 2022-10-05 Fangtao Yu , Tao Yang , Qiuzhuo Chen

We investigate distribution of integral well-rounded lattices in the plane, parameterizing the set of their similarity classes by solutions of the family of Pell-type Diophantine equations of the form $x^2+Dy^2=z^2$ where $D>0$ is…

Integrated sensing and communication (ISAC) has emerged as a promising paradigm for next-generation (6G) wireless networks, unifying radar sensing and communication on a shared hardware platform. This paper proposes a dynamic array…

信号处理 · 电气工程与系统科学 2025-03-19 Rang Liu , Ming Li , A. Lee Swindlehurst

Direction of arrival (DoA) estimation of targets improves with the number of elements employed by a phased array radar antenna. Since larger arrays have high associated cost, area and computational load, there is recent interest in thinning…

信号处理 · 电气工程与系统科学 2019-02-05 Ahmet M. Elbir , Kumar Vijay Mishra , Yonina C. Eldar

Sparse arrays with $N$-sensors can provide up to $O(N^2)$ degrees of freedom (DOF) by second-order cumulants. However, these sparse arrays like minimum-/low-redundancy arrays (MRAs/LRAs), nested arrays and coprime arrays can only provide…

信号处理 · 电气工程与系统科学 2025-03-25 Si Wang , Guoqiang Xiao

We construct explicit rate-one, full-diversity, geometrically dense matrix lattices with large, non-vanishing determinants (NVD) for four transmit antenna multiple-input single-output (MISO) space-time (ST) applications. The constructions…

信息论 · 计算机科学 2016-11-17 Camilla Hollanti , Jyrki Lahtonen , Hsiao-feng Francis Lu

The theory of ternary $\Gamma$-semirings extends classical ring and semiring frameworks by introducing a ternary product controlled by a parameter set $\Gamma$. Building on the foundational axioms recently established by Rao, Rani, and…

环与代数 · 数学 2026-02-02 Chandrasekhar Gokavarapu , Dr D Madhusudhana Rao