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We propose a new iteratively reweighted least squares (IRLS) algorithm for the recovery of a matrix $X \in \mathbb{C}^{d_1\times d_2}$ of rank $r \ll\min(d_1,d_2)$ from incomplete linear observations, solving a sequence of low complexity…

Numerical Analysis · Mathematics 2018-02-28 Christian Kümmerle , Juliane Sigl

The recursive least-squares (RLS) algorithm has well-documented merits for reducing complexity and storage requirements, when it comes to online estimation of stationary signals as well as for tracking slowly-varying nonstationary…

Networking and Internet Architecture · Computer Science 2013-10-01 Gonzalo Mateos , Georgios B. Giannakis

Optimal MIMO detection has been one of the most challenging and computationally inefficient tasks in wireless systems. We show that the new analog computing techniques like Coherent Ising Machines (CIM) are promising candidates for…

Networking and Internet Architecture · Computer Science 2024-09-06 Abhishek Kumar Singh , Kyle Jamieson , Davide Venturelli , Peter McMahon

In this paper, we consider a compressed sensing problem of reconstructing a sparse signal from an undersampled set of noisy linear measurements. The regularized least squares or least absolute shrinkage and selection operator (LASSO)…

Information Theory · Computer Science 2014-10-30 Chao-Kai Wen , Jun Zhang , Kai-Kit Wong , Jung-Chieh Chen , Chau Yuen

In this paper, we investigate the theoretical guarantees of penalized $\lun$ minimization (also called Basis Pursuit Denoising or Lasso) in terms of sparsity pattern recovery (support and sign consistency) from noisy measurements with…

Information Theory · Computer Science 2011-09-13 Charles Dossal , Marie-Line Chabanol , Gabriel Peyré , Jalal Fadili

We consider multi-antenna wireless systems aided by large intelligent surfaces (LIS). LIS presents a new physical layer technology for improving coverage and energy efficiency by intelligently controlling the propagation environment. In…

Signal Processing · Electrical Eng. & Systems 2020-11-17 Neel Kanth Kundu , Matthew R. McKay

In order to improve the performance of Least Mean Square (LMS) based system identification of sparse systems, a new adaptive algorithm is proposed which utilizes the sparsity property of such systems. A general approximating approach on…

Information Theory · Computer Science 2015-06-15 Yuantao Gu , Jian Jin , Shunliang Mei

This paper proposes spatial lattice modulation (SLM), a spatial modulation method for multipleinput-multiple-output (MIMO) systems. The key idea of SLM is to jointly exploit spatial, in-phase, and quadrature dimensions to modulate…

Information Theory · Computer Science 2018-05-23 Jiwook Choi , Yunseo Nam , Namyoon Lee

Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

Statistics Theory · Mathematics 2025-04-17 Hang Liu , Anna Scaglione

The concept of reconfiguring wireless propagation environments using intelligent reflecting surfaces (IRS)s has recently emerged, where an IRS comprises of a large number of passive reflecting elements that can smartly reflect the impinging…

Information Theory · Computer Science 2020-05-05 Qurrat-Ul-Ain Nadeem , Hibatallah Alwazani , Abla Kammoun , Anas Chaaban , Merouane Debbah , Mohamed-Slim Alouini

For massive multiple-input multiple-output (MIMO) systems, linear minimum mean-square error (MMSE) detection has been shown to achieve near-optimal performance but suffers from excessively high complexity due to the large-scale matrix…

Signal Processing · Electrical Eng. & Systems 2018-04-19 Chuan Zhang , Zhizhen Wu , Christoph Studer , Zaichen Zhang , Xiaohu You

Symbol detection for Massive Multiple-Input Multiple-Output (MIMO) is a challenging problem for which traditional algorithms are either impractical or suffer from performance limitations. Several recently proposed learning-based approaches…

Signal Processing · Electrical Eng. & Systems 2019-06-12 Mehrdad Khani , Mohammad Alizadeh , Jakob Hoydis , Phil Fleming

Channel estimation is fundamental to wireless communications, yet it becomes increasingly challenging in massive multiple-input multiple-output (MIMO) systems where base stations employ hundreds of antennas. Traditional least-squares…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Pinjun Zheng , Md. Jahangir Hossain , Anas Chaaban

We study the problem of signal estimation from non-linear observations when the signal belongs to a low-dimensional set buried in a high-dimensional space. A rough heuristic often used in practice postulates that non-linear observations may…

Information Theory · Computer Science 2015-11-17 Yaniv Plan , Roman Vershynin

In wireless communication Multiple Input Multiple Output (MIMO) technology has brought significant improvement in service by adopting Orthogonal Frequency Division Multiplexing (OFDM), a digital modulation technique. To achieve great…

Networking and Internet Architecture · Computer Science 2024-05-14 Shahriar Hassan , Umme Farhana , Md Karam Newaz

Invariable step size based least-mean-square error (ISS-LMS) was considered as a very simple adaptive filtering algorithm and hence it has been widely utilized in many applications, such as adaptive channel estimation. It is well known that…

Information Theory · Computer Science 2015-01-29 Beiyi Liu , Guan Gui , Li Xu , Nobuhiro Shimoi

To glean the benefits offered by massive multi-input multi-output (MIMO) systems, channel state information must be accurately acquired. Despite the high accuracy, the computational complexity of classical linear minimum mean squared error…

Information Theory · Computer Science 2024-04-23 Bin Li , Ziping Wei , Shaoshi Yang , Yang Zhang , Jun Zhang , Chenglin Zhao , Sheng Chen

This paper concerns the performance of the LASSO (also knows as basis pursuit denoising) for recovering sparse signals from undersampled, randomized, noisy measurements. We consider the recovery of the signal $x_o \in \mathbb{R}^N$ from $n$…

Statistics Theory · Mathematics 2013-09-26 Ali Mousavi , Arian Maleki , Richard G. Baraniuk

In this study, we explore the performance of a reconfigurable reflecting surface (RIS)-assisted transmit spatial modulation (SM) system for downlink transmission, wherein the deployment of RIS serves the purpose of blind area coverage…

Information Theory · Computer Science 2024-09-04 Xusheng Zhu , Qingqing Wu , Wen Chen

Millimeter (mm) wave massive MIMO has the potential for delivering orders of magnitude increases in mobile data rates, with compact antenna arrays providing narrow steerable beams for unprecedented levels of spatial reuse. A fundamental…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Maryam Eslami Rasekh , Upamanyu Madhow