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The Kaczmarz algorithm is a simple iterative scheme for solving consistent linear systems. At each step, the method projects the current iterate onto the solution space of a single constraint. Hence, it requires very low cost per iteration…

Optimization and Control · Mathematics 2019-02-27 Ion Necoara

Hybrid analog/digital precoding offers a compromise between hardware complexity and system performance in millimeter wave (mmWave) systems. This type of precoding allows mmWave systems to leverage large antenna array gains that are…

Information Theory · Computer Science 2016-11-18 Ahmed Alkhateeb , Robert W. Heath

In this paper, we investigate the energy-efficient hybrid precoding design for integrated multicast-unicast millimeter wave (mmWave) system, where the simultaneous wireless information and power transform is considered at receivers. We…

Information Theory · Computer Science 2020-02-12 Wanming Hao , Gangcan Sun , Fuhui Zhou , De Mi , Jia Shi , Pei Xiao , Victor C. M. Leung

Low Earth Orbit (LEO) satellite-to-handheld connections herald a new era in satellite communications. Space-Division Multiple Access (SDMA) precoding is a method that mitigates interference among satellite beams, boosting spectral…

Signal Processing · Electrical Eng. & Systems 2024-02-27 Alea Schröder , Steffen Gracla , Maik Röper , Dirk Wübben , Carsten Bockelmann , Armin Dekorsy

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

Linear precoding is a relatively simple method of MIMO signaling that can also be optimal in certain special cases. This paper is dedicated to high-SNR analysis of MIMO linear precoding. The Diversity-Multiplexing Tradeoff (DMT) of a number…

Information Theory · Computer Science 2012-02-27 Ahmed Hesham Mehana , Aria Nosratinia

Cell-free massive multiple-input multiple-output (MIMO) is a key technology for next-generation wireless systems. The integration of cell-free massive MIMO within the open radio access network (O-RAN) architecture addresses the growing need…

Signal Processing · Electrical Eng. & Systems 2026-05-04 Mohammad Hossein Shokouhi , Vincent W. S. Wong

The spectrum sharing has recently passed into a mainstream Cognitive Radio (CR) strategy. We investigate the core issue in this strategy: interference mitigation at Primary Receiver (PR).We propose a linear precoder design which aims at…

Networking and Internet Architecture · Computer Science 2012-08-28 Abdelwaheb Marzouki , Xin Jin

The Kaczmarz method is an efficient iterative algorithm for large-scale linear systems. However, its linear convergence rate suffers from ill-conditioned problems and is highly sensitive to the smallest nonzero singular value. In this work,…

Numerical Analysis · Mathematics 2026-02-26 Yunying Ke , Hao Luo

Massive multiple-input multiple-output (MIMO) systems achieve high sum spectral efficiency by offering an order of magnitude increase in multiplexing gains. In time division duplexing systems, however, the reuse of uplink training pilots…

Information Theory · Computer Science 2016-10-14 Ahmed Alkhateeb , Geert Leus , Robert W. Heath

Multi-target detection and communication with extremely large-scale antenna arrays (ELAAs) operating at high frequencies necessitate generating multiple beams. However, conventional algorithms are slow and computationally intensive. For…

Signal Processing · Electrical Eng. & Systems 2025-01-30 Diluka Galappaththige , Shayan Zargari , Chintha Tellambura , Geoffrey Ye Li

The paper studies the multi-user precoding problem as a non-convex optimization problem for wireless multiple input and multiple output (MIMO) systems. In our work, we approximate the target Spectral Efficiency function with a novel…

Information Theory · Computer Science 2022-06-22 Evgeny Bobrov , Dmitry Kropotov , Sergey Troshin , Danila Zaev

We call matrix algorithms superfast if they use much fewer flops and memory cells than the input matrix has entries. Using such algorithms is indispensable for Big Data Mining and Analysis, where the input matrices are so immense that one…

Numerical Analysis · Mathematics 2025-01-17 Victor Y. Pan , John Svadlenka

In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

Machine Learning · Computer Science 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

Reconfigurable antennas (RAs) utilize the electromagnetic (EM) domain to provide dynamic control over antenna radiation patterns, which offers an effective way to enhance power efficiency in wireless links. Unlike conventional arrays with…

Signal Processing · Electrical Eng. & Systems 2026-03-24 Alireza Fadakar , Yuchen Zhang , Hui Chen , Musa Furkan Keskin , Henk Wymeersch , Andreas F. Molisch

This paper focuses on the performance analysis of a class of limited peak-to-average power ratio (PAPR) precoders for downlink multi-user massive multiple-input multiple-output (MIMO) systems. Contrary to conventional precoding approaches…

Signal Processing · Electrical Eng. & Systems 2022-12-14 Xiuxiu Ma , Abla Kammoun , Ayed M. Alrashdi , Tarig Ballal , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

In multi-user multiple-input multiple-output (MU-MIMO) systems, the non-linear behavior of the power amplifiers (PAs) may cause degradation of the linear precoding schemes dealing with interference between user equipments (UEs), e.g., the…

Signal Processing · Electrical Eng. & Systems 2025-12-03 Juan Vidal Alegría , Ashkan Sheikhi , Ove Edfors

In this paper, we propose a tri-domain reconfigurable multiuser multiple-input multiple-output (MIMO) communication system that integrates the electromagnetic (EM) reconfigurable antenna (EMRA) with the spatially movable antenna (SMA),…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Yining Li , Ziwei Wan , Zhen Gao , Keke Ying , Lipeng Zhu , Rui Zhang

A matrix algorithm runs superfast (aka at sublinear cost) if it involves much fewer flops and memory cells than an input matrix has entries. Big Data are frequently represented by matrices of immense sizes that cannot be handled directly…

Numerical Analysis · Mathematics 2025-11-11 Qi Luan , Victor Y. Pan

Signal processing in wireless communications, such as precoding, detection, and channel estimation, are basically about solving inverse matrix problems, which, however, are slow and inefficient in conventional digital computers, thus…

Signal Processing · Electrical Eng. & Systems 2022-11-08 Pushen Zuo , Zhong Sun , Ru Huang
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