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In this paper, the zero-forcing and regularized zero-forcing schemes operating in crowded extra-large MIMO (XL-MIMO) scenarios with a fixed number of subarrays have been emulated using the randomized Kaczmarz algorithm (rKA). For that,…

Signal Processing · Electrical Eng. & Systems 2020-02-03 Victor Croisfelt Rodrigues , Abolfazl Amiri , Taufik Abrão , Elisabeth de Carvalho , Petar Popovski

Massive multiple-input-multiple-output (M-MIMO) features a capability for spatial multiplexing of large number of users. This number becomes even more extreme in extra-large (XL-MIMO), a variant of M-MIMO where the antenna array is of very…

Information Theory · Computer Science 2021-05-25 Victor Croisfelt Rodrigues , Abolfazl Amiri , Taufik Abrão , Elisabeth de Carvalho , Petar Popovski

Extremely large-scale multiple-input-multiple-output (XL-MIMO) is a promising technology for the future sixth-generation (6G) networks to achieve higher performance. In practice, various linear precoding schemes, such as zero-forcing (ZF)…

Information Theory · Computer Science 2023-02-06 Bokai Xu , Zhe Wang , Huahua Xiao , Jiayi Zhang , Bo Ai , Derrick Wing Kwan Ng

Massive MIMO is a variant of multiuser MIMO in which the number of antennas at the base station (BS) $M$ is very large and typically much larger than the number of served users (data streams) $K$. Recent research has illustrated the…

Information Theory · Computer Science 2018-07-31 Mahdi Nouri Boroujerdi , Saeid Haghighatshoar , Giuseppe Caire

The Kaczmarz algorithm is an iterative technique designed to solve consistent linear systems of equations. It falls within the category of row-action methods, focusing on handling one equation per iteration. This characteristic makes it…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-01 Inês Ferreira , Juan A. Acebrón , José Monteiro

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

Despite the extensive use of a centralized approach to design receivers at the base station for massive multiple-input multiple-output (M-MIMO) systems, their actual implementation is a major challenge due to several bottlenecks imposed by…

Information Theory · Computer Science 2021-07-26 Victor Croisfelt , Taufik Abrão , Abolfazl Amiri , Elisabeth de Carvalho , Petar Popovski

Continuous efforts have been devoted to integrate millimeter wave (mmWave) and terahertz (THz) bands into future communication standards in order to overcome the bandwidth shortage problem and achieve high data rates, primarily through…

Signal Processing · Electrical Eng. & Systems 2026-03-05 Sung Hyuck Hong , Junil Choi

Reconfigurable intelligent surface (RIS) has been anticipated to be a novel cost-effective technology to improve the performance of future wireless systems. In this paper, we investigate a practical RIS-aided multiple-input-multiple-output…

Information Theory · Computer Science 2023-03-23 Jintao Wang , Shiqi Gong , Qingqing Wu , Shaodan Ma

Extremely large antenna arrays (ELAA) are regarded as a promising technology for supporting sixth-generation (6G) networks. However, the large number of antennas significantly increases the computational complexity in precoding design, even…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Mengyu Liu , Cunhua Pan , Kangda Zhi , Hong Ren , Cheng-Xiang Wang , Jiangzhou Wang , Yonina C. Eldar

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

Due to the ever growing amounts of data leveraged for machine learning and scientific computing, it is increasingly important to develop algorithms that sample only a small portion of the data at a time. In the case of linear least-squares,…

Machine Learning · Computer Science 2025-12-18 Gil Goldshlager , Jiang Hu , Lin Lin

The randomized block Kaczmarz (RBK) method is a widely utilized iterative scheme for solving large-scale linear systems. However, the theoretical analysis and practical effectiveness of this method heavily rely on a good row paving of the…

Numerical Analysis · Mathematics 2025-03-19 Ruike Xiang , Jiaxin Xie , Qiye Zhang

In this paper, the problem of sequential beam construction and adaptive channel estimation based on reduced rank (RR) Kalman filtering for frequency-selective massive multiple-input multiple-output (MIMO) systems employing single-carrier…

Information Theory · Computer Science 2017-03-10 Gokhan M. Guvensen , Ender Ayanoglu

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

Reconfigurable antennas (RAs) are a promising technology to enhance the capacity and coverage of wireless communication systems. However, RA systems have two major challenges: (i) High computational complexity of mode selection, and (ii)…

Information Theory · Computer Science 2022-11-28 Fariba Armandoust , Ehsan Tohidi , Martin Kasparick , Li Wang , Ahmet Hasim Gokceoglu , Slawomir Stanczak

The standard randomized sparse Kaczmarz (RSK) method is an algorithm to compute sparse solutions of linear systems of equations and uses sequential updates, and thus, does not take advantage of parallel computations. In this work, we…

Numerical Analysis · Mathematics 2022-10-18 Lionel Tondji , Dirk A Lorenz

This paper focuses on achieving optimal multi-user channel access in distributed networks using a reconfigurable intelligent surface (RIS). The network includes wireless channels with direct links between users and RIS links connecting…

Information Theory · Computer Science 2023-09-25 Zhou Zhang , Saman Atapattu , Yizhu Wang , Marco Di Renzo

Massive multiple-input multiple-output (mMIMO) antenna systems and inter-band carrier aggregation (CA)-enabled multi-band communication are two key technologies to achieve very high data rates in beyond fifth generation (B5G) wireless…

Networking and Internet Architecture · Computer Science 2024-07-31 Nuwan Balasuriya , Amine Mezghani , Ekram Hossain

It is already well-known that interference alignment (IA) achieves the sum capacity of the K-user interference channel at the high interference regime. On the other hand, it is intuitively clear that when the interference levels are very…

Information Theory · Computer Science 2013-02-27 George C. Alexandropoulos , Constantinos B. Papadias
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