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The randomized Kaczmarz (RK) algorithm is one of the most computationally and memory-efficient iterative algorithms for solving large-scale linear systems. However, practical applications often involve noisy and potentially inconsistent…

Numerical Analysis · Mathematics 2025-10-10 El Houcine Bergou , Soumia Boucherouite , Aritra Dutta , Xin Li , Anna Ma

We provide a complete characterization of the randomized Kaczmarz algorithm (RKA) for inconsistent linear systems. The Kaczmarz algorithm, known in some fields as the algebraic reconstruction technique, is a classical method for solving…

Numerical Analysis · Mathematics 2015-02-05 Chuang Wang , Ameya Agaskar , Yue M. Lu

Extra-large scale MIMO (XL-MIMO) is a key technology for meeting sixth-generation (6G) requirements for high-rate connectivity and uniform quality of service (QoS); however, its deployment is challenged by the prohibitive complexity of…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Gabriel Avanzi Ubiali , José Carlos Marinello Filho , Taufik Abrão

We study the design of receivers in extra-large scale MIMO (XL-MIMO) systems, i.e. systems in which the base station is equipped with an antenna array of extremely large dimensions. While XL-MIMO can significantly increase the system's…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Abolfazl Amiri , Sajad Rezaie , Carles Navarro Manchon , Elisabeth de Carvalho

We consider the problem of unsourced random access (U-RA), a grant-free uncoordinated form of random access, in a wireless channel with a massive MIMO base station equipped with a large number $M$ of antennas and a large number of wireless…

Information Theory · Computer Science 2020-05-21 Alexander Fengler , Saeid Haghighatshoar , Peter Jung , Giuseppe Caire

In this thesis, we investigate the problem of efficient data detection in large MIMO and high order MU-MIMO systems. First, near-optimal low-complexity detection algorithms are proposed for regular MIMO systems. Then, a family of…

Information Theory · Computer Science 2021-10-26 Hadi Sarieddeen

In this paper, a downlink multiple input multiple output (MIMO) non-orthogonal multiple access (NOMA) wireless communication system is considered. In NOMA systems, the base station has unicast data for all users, and multiple users in a…

Signal Processing · Electrical Eng. & Systems 2020-08-06 Ahmet Zahid Yalcin , Mustafa Kagan Cetin , Melda Yuksel

In an extra-large scale MIMO (XL-MIMO) system, the antenna arrays have a large physical size that goes beyond the dimensions in traditional MIMO systems. Because of this large dimensionality, the optimization of an XL-MIMO system leads to…

Signal Processing · Electrical Eng. & Systems 2020-02-04 Abolfazl Amiri , Carles Navarro Manch'on , Elisabeth de Carvalho

Large-scale linear systems of the form $Ax=b$ are often doubly-noisy, in the sense that both its measurement matrix $A$ and measurement vector $b$ are noisy. In this paper, we extend the relaxed greedy randomized Kaczmarz (RGRK) method to…

Numerical Analysis · Mathematics 2026-04-01 Lu Zhang , Jinchuan Zeng , Hui Zhang

Large-scale linear systems, $Ax=b$, frequently arise in practice and demand effective iterative solvers. Often, these systems are noisy due to operational errors or faulty data-collection processes. In the past decade, the randomized…

Numerical Analysis · Mathematics 2024-08-26 El Houcine Bergou , Soumia Boucherouite , Aritra Dutta , Xin Li , Anna Ma

In this work, we study complex-valued data detection performance in massive multiple-input multiple-output (MIMO) systems. We focus on the problem of recovering an $n$-dimensional signal whose entries are drawn from an arbitrary…

Information Theory · Computer Science 2023-08-11 Ayed M. Alrashdi , Houssem Sifaou

Massive MIMO system yields significant improvements in spectral and energy efficiency for future wireless communication systems. The regularized zero-forcing (RZF) beamforming is able to provide good performance with the capability of…

Information Theory · Computer Science 2020-03-31 Hayoung Choi , Tao Jiang , Yuanming Shi , Xuan Liu , Khaled B. Letaief

Cell-free massive multiple-input multiple-output (mMIMO) and extremely large-scale MIMO (XL-MIMO) are regarded as promising innovations for the forthcoming generation of wireless communication systems. Their significant advantages in…

Information Theory · Computer Science 2023-10-04 Zhilong Liu , Jiayi Zhang , Ziheng Liu , Hongyang Du , Zhe Wang , Dusit Niyato , Mohsen Guizani , Bo Ai

This paper investigates the performance of Multiple-input multiple-output non-orthogonal multiple access (MIMO-NOMA) systems with randomly deployed users, where the randomly deployed NOMA users follow Poisson point process (PPP), the…

Information Theory · Computer Science 2022-09-29 Zheng Shi , Guanghua Yang , Yaru Fu , Hong Wang , Shaodan Ma

Providing minimum quality-of-service (QoS) in crowded wireless communications systems, with high user density, is challenging due to the network structure with limited transmit power budget and resource blocks. Smart resource allocation…

Information Theory · Computer Science 2022-05-17 Joao Henrique Inacio de Souza , Jose Carlos Marinello , Abolfazl Amiri , Taufik Abrao

Extremely large-scale massive MIMO (XL-MIMO) has been reviewed as a promising technology for future wireless communications. The deployment of XL-MIMO, especially at high-frequency bands, leads to users being located in the near-field…

Information Theory · Computer Science 2022-11-29 Xiangyu Zhang , Zening Wang , Haiyang Zhang , Luxi Yang

Randomized iterative algorithms for solving a factorized linear system, $\mathbf A\mathbf B\mathbf x=\mathbf b$ with $\mathbf A\in{\mathbb{R}}^{m\times \ell}$, $\mathbf B\in{\mathbb{R}}^{\ell\times n}$, and $\mathbf b\in{\mathbb{R}}^m$,…

Numerical Analysis · Mathematics 2023-07-25 Kui Du

Signal detection in large multiple-input multiple-output (large-MIMO) systems presents greater challenges compared to conventional massive-MIMO for two primary reasons. First, large-MIMO systems lack favorable propagation conditions as they…

Information Theory · Computer Science 2023-08-23 Jiuyu Liu , Yi Ma , Rahim Tafazolli

This paper explores the maximization of the harvested power efficiency (HPE) in a modular extremely large multiple-input multiple-output (XL-MIMO) system, which supports energy harvesting (EH) for near-field users. These users are located…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Muhammad Zeeshan Mumtaz , Mohammadali Mohammadi , Hien Quoc Ngo , Michail Matthaiou

This paper proposes a novel pilot scheme for multi-user uplink channel estimation in extra-large-scale massive MIMO (XL-MIMO) systems with extremely large aperture arrays (ELAA). The large aperture of ELAA introduces spatial…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Yumeng Zhang , Huayan Guo , Vincent Lau