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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

Multiple-Input Multiple-Output (MIMO) systems are essential for wireless communications. Sinceclassical algorithms for symbol detection in MIMO setups require large computational resourcesor provide poor results, data-driven algorithms are…

Information Theory · Computer Science 2023-03-15 Alexander Fuchs , Christian Knoll , Nima N. Moghadam , Alexey Pak Jinliang Huang , Erik Leitinger , Franz Pernkopf

Multiple-input multiple-output (MIMO) technology applied with orthogonal frequency division multiplexing (OFDM) is considered as the ultimate solution to increase channel capacity without any additional spectral resources. At the receiver…

Information Theory · Computer Science 2010-05-28 Manar Mohaisen , KyungHi Chang

This paper proposes a new large-scale mask-compliant spectral precoder (LS-MSP) for orthogonal frequency division multiplexing systems. In this paper, we first consider a previously proposed mask-compliant spectral precoding scheme that…

Signal Processing · Electrical Eng. & Systems 2019-05-17 Shashi Kant , Gabor Fodor , Mats Bengtsson , Bo Göransson , Carlo Fischione

We study two procedures (reverse-mode and forward-mode) for computing the gradient of the validation error with respect to the hyperparameters of any iterative learning algorithm such as stochastic gradient descent. These procedures mirror…

Machine Learning · Statistics 2017-12-13 Luca Franceschi , Michele Donini , Paolo Frasconi , Massimiliano Pontil

In this paper we consider a class of robust multilevel precontioners for the Helmholtz equation with high wave number. The key idea in this work is to use the continuous interior penalty finite element methods (CIP-FEM) studied in…

Numerical Analysis · Mathematics 2013-04-26 Huangxin Chen , Haijun Wu , Xuejun Xu

In this letter, we propose a novel manifold-based algorithm to solve the constant envelope (CE) precoding problem with interference exploitation. For a given power budget, we design the precoded symbols subject to the CE constraints, such…

Information Theory · Computer Science 2017-10-11 Fan Liu , Christos Masouros , Pierluigi Vito Amadori , Huafei Sun

Multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) systems rely on digital or hybrid digital and analog designs for beamforming against frequency-selective fading, which suffer from high hardware…

Signal Processing · Electrical Eng. & Systems 2026-01-26 Zheao Li , Jiancheng An , Chau Yuen

Today's massively-sized datasets have made it necessary to often perform computations on them in a distributed manner. In principle, a computational task is divided into subtasks which are distributed over a cluster operated by a…

Information Theory · Computer Science 2017-06-20 Wael Halbawi , Navid Azizan-Ruhi , Fariborz Salehi , Babak Hassibi

Index modulation (IM) brings the reduction of power consumption and complexity of the transmitter to classical multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems. However, due to the introduction…

Signal Processing · Electrical Eng. & Systems 2019-11-14 Jinxue Liu , Hancheng Lu

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

In distributed optimization problems, a technique called gradient coding, which involves replicating data points, has been used to mitigate the effect of straggling machines. Recent work has studied approximate gradient coding, which…

Machine Learning · Statistics 2021-08-09 Margalit Glasgow , Mary Wootters

Hybrid precoding design can be challenging for broadband millimeter-wave (mmWave) massive MIMO due to the frequency-flat analog precoder in radio frequency (RF). Prior broadband hybrid precoding work usually focuses on fully-connected array…

Information Theory · Computer Science 2018-09-24 Yiwei Sun , Zhen Gao , Hua Wang , Di Wu

Massive multiuser (MU) multiple-input multiple-output (MIMO) is foreseen to be one of the key technologies in fifth-generation wireless communication systems. In this paper, we investigate the problem of downlink precoding for a narrowband…

Information Theory · Computer Science 2017-06-30 Sven Jacobsson , Giuseppe Durisi , Mikael Coldrey , Tom Goldstein , Christoph Studer

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

Machine Learning · Computer Science 2024-10-16 Yuntian Gu , Xuzheng Chen

Multi-input multi-output orthogonal frequency division multiplexing (MIMO OFDM) is a key technology for mobile communication systems. However, due to the issue of high peak-to-average power ratio (PAPR), the OFDM symbols may suffer from…

Signal Processing · Electrical Eng. & Systems 2021-06-01 Liangyuan Xu , Feifei Gao , Wei Zhang , Shaodan Ma

The joint optimization of the integer matrix $\mathbf{A}$ and the power scaling matrix $\mathbf{D}$ is central to achieving the capacity-approaching performance of Integer-Forcing (IF) precoding. This problem, however, is known to be…

Information Theory · Computer Science 2026-02-25 Junren Qin , Fan Jiang , Tao Yang , Shanxiang Lyu , Rongke Liu , Shi Jin

We present exact mixed-integer linear programming formulations for verifying the performance of first-order methods for parametric quadratic optimization. We formulate the verification problem as a mixed-integer linear program where the…

Optimization and Control · Mathematics 2026-05-29 Vinit Ranjan , Jisun Park , Stefano Gualandi , Andrea Lodi , Bartolomeo Stellato

First-order optimization methods tend to inherently favor certain solutions over others when minimizing an underdetermined training objective that has multiple global optima. This phenomenon, known as implicit bias, plays a critical role in…

Machine Learning · Computer Science 2024-04-09 Guanghui Wang , Zihao Hu , Claudio Gentile , Vidya Muthukumar , Jacob Abernethy

In this paper, we consider hybrid beamforming designs for multiuser massive multiple-input multiple-output (MIMO)-orthogonal frequency division multiplexing (OFDM) systems. Aiming at maximizing the weighted spectral efficiency, we propose…

Signal Processing · Electrical Eng. & Systems 2019-07-30 Jingbo Du , Wei Xu , Chunming Zhao , Luc Vandendorpe