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The computational cost of many signal processing and machine learning techniques is often dominated by the cost of applying certain linear operators to high-dimensional vectors. This paper introduces an algorithm aimed at reducing the…

Machine Learning · Computer Science 2016-03-30 Luc Le Magoarou , Rémi Gribonval

Large-scale multi-user multiple-input multiple-output (MIMO) techniques have the potential to bring tremendous improvements for future communication systems. Counter-intuitively, the practical issues of having uncertain channel knowledge,…

Information Theory · Computer Science 2014-07-25 Axel Müller , Abla Kammoun , Emil Björnson , Mérouane Debbah

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

This work considers multiple-input multiple-output (MIMO) communication systems using hierarchical modulation. A disadvantage of the maximum-likelihood (ML) MIMO detector is that computational complexity increases exponentially with the…

Information Theory · Computer Science 2016-02-24 Yigit Ugur , Ali Ozgur Yilmaz

In this paper, we propose a new algorithm for recovery of low-rank matrices from compressed linear measurements. The underlying idea of this algorithm is to closely approximate the rank function with a smooth function of singular values,…

Information Theory · Computer Science 2016-11-18 Mohammadreza Malek-Mohammadi , Massoud Babaie-Zadeh , Mikael Skoglund

Algorithms for Massive MIMO uplink detection typically rely on a centralized approach, by which baseband data from all antennas modules are routed to a central node in order to be processed. In case of Massive MIMO, where hundreds or…

Signal Processing · Electrical Eng. & Systems 2018-08-29 Jesus Rodriguez Sanchez , Fredrik Rusek , Muris Sarajlic , Ove Edfors , Liang Liu

In this paper, we address the inverse problem of fast, stable, and high-quality wavefront reconstruction from pyramid wavefront sensor data for Adaptive Optics systems on Extremely Large Telescopes. For solving the indicated problem we…

Instrumentation and Methods for Astrophysics · Physics 2019-05-01 Victoria Hutterer , Ronny Ramlau , Iuliia Shatokhina

We consider a certain class of large random matrices, composed of independent column vectors with zero mean and different covariance matrices, and derive asymptotically tight deterministic approximations of their moments. This random matrix…

Information Theory · Computer Science 2016-11-15 Jakob Hoydis , Merouane Debbah , Mari Kobayashi

Downlink beamforming is a key technology for cellular networks. However, computing the transmit beamformer that maximizes the weighted sum rate subject to a power constraint is an NP-hard problem. As a result, iterative algorithms that…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Lissy Pellaco , Mats Bengtsson , Joakim Jaldén

In this paper, we propose low-complexity local detectors and log-likelihood ratio (LLR) refinement techniques for a coded cell-free massive multiple input multiple output (CF- mMIMO) systems, where an iterative detection and decoding (IDD)…

Information Theory · Computer Science 2024-05-24 T. Ssettumba , Z. Shao , L. Landau , R. C. de Lamare

A novel approach for solving linear estimation problem in multi-user massive MIMO systems is proposed. In this approach, the difficulty of matrix inversion is attributed to the incomplete definition of the dot product. The general…

Systems and Control · Computer Science 2015-04-29 Muhammad Ali Raza Anjum

Orthogonal time-frequency space (OTFS) scheme, which transforms a time and frequency selective channel into an almost non-selective channel in the delay-Doppler domain, establishes reliable wireless communication for high-speed moving…

Information Theory · Computer Science 2020-10-12 Prem Singh , Abhishek Gupta , Himanshu B. Mishra , Rohit Budhiraja

Extremely large-scale multiple-input-multipleoutput (XL-MIMO) has been reviewed as a promising technology for future sixth-generation (6G) networks to achieve higher performance. In practice, various linear precoding schemes, such as…

Information Theory · Computer Science 2023-05-24 Bokai Xu , Jiayi Zhang , Jiaxun Li , Huahua Xiao , Bo Ai

Minimum achievable complexity (MAC) for a maximum likelihood (ML) performance-achieving detection algorithm is derived. Using the derived MAC, we prove that the conventional sphere decoding (SD) algorithms suffer from an inherent weakness…

Information Theory · Computer Science 2021-09-21 Mohammad Neinavaie , Mostafa Derakhtian , Sergiy A. Vorobyov

Holographic MIMO (hMIMO) systems with a massive number of individually controlled antennas N make minimum mean square error (MMSE) channel estimation particularly challenging, due to its computational complexity that scales as $N^3$ . This…

Information Theory · Computer Science 2023-12-19 Antonio Alberto D'Amico , Giacomo Bacci , Luca Sanguinetti

We consider Bayesian inference for large scale inverse problems, where computational challenges arise from the need for repeated evaluations of an expensive forward model. This renders most Markov chain Monte Carlo approaches infeasible,…

Numerical Analysis · Mathematics 2022-08-12 Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M. Stuart

The WMMSE beamforming algorithm is a popular approach to address the NP-hard weighted sum rate (WSR) maximization beamforming problem. Although it efficiently finds a local optimum, it requires matrix inverses, eigendecompositions, and…

Signal Processing · Electrical Eng. & Systems 2023-02-15 Lissy Pellaco , Joakim Jaldén

Large-scale MIMO systems with a massive number N of individually controlled antennas pose significant challenges for minimum mean square error (MMSE) channel estimation, based on uplink pilots. The major ones arise from the computational…

Information Theory · Computer Science 2024-10-07 Giacomo Bacci , Antonio Alberto D'Amico , Luca Sanguinetti

This article introduces a new fast direct solver for linear systems arising out of wide range of applications, integral equations, multivariate statistics, radial basis interpolation, etc., to name a few. \emph{The highlight of this new…

Numerical Analysis · Mathematics 2014-07-08 Sivaram Ambikasaran , Eric Darve

Approximate computing has shown to provide new ways to improve performance and power consumption of error-resilient applications. While many of these applications can be found in image processing, data classification or machine learning, we…

Numerical Analysis · Computer Science 2017-03-08 Michael Lass , Thomas D. Kühne , Christian Plessl