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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

In this paper, an efficient massive multiple-input multiple-output (MIMO) detector is proposed by employing a deep neural network (DNN). Specifically, we first unfold an existing iterative detection algorithm into the DNN structure, such…

Signal Processing · Electrical Eng. & Systems 2020-04-16 Jieyu Liao , Junhui Zhao , Feifei Gao , Geoffrey Ye Li

Soft demodulation of received symbols into bit log-likelihood ratios (LLRs) is at the very heart of multiple-input-multiple-output (MIMO) detection. However, the optimal maximum a posteriori (MAP) detector is complicated and infeasible to…

Signal Processing · Electrical Eng. & Systems 2022-08-18 Jiankun Zhang , Hao Wang , Jing Qian , Zhenxing Gao

We propose a solution for linear inverse problems based on higher-order Langevin diffusion. More precisely, we propose pre-conditioned second-order and third-order Langevin dynamics that provably sample from the posterior distribution of…

Machine Learning · Statistics 2023-12-08 Nicolas Zilberstein , Ashutosh Sabharwal , Santiago Segarra

Many stochastic time series can be described by a Langevin equation composed of a deterministic and a stochastic dynamical part. Such a stochastic process can be reconstructed by means of a recently introduced nonparametric method, thus…

Data Analysis, Statistics and Probability · Physics 2013-01-01 J. Carvalho , F. Raischel , M. Haase , P. G. Lind

Efficient symbol detection algorithms carry critical importance for achieving the spatial multiplexing gains promised by multi-input multi-output (MIMO) systems. In this paper, we consider a maximum a posteriori probability (MAP) based…

Information Theory · Computer Science 2017-10-04 Yavuz Yapici , Ismail Guvenc , Yuichi Kakishima

Monte Carlo sampling techniques have broad applications in machine learning, Bayesian posterior inference, and parameter estimation. Often the target distribution takes the form of a product distribution over a dataset with a large number…

Methodology · Statistics 2019-09-19 Charles Matthews , Jonathan Weare

We introduce a revised derivation of the bitwise Markov Chain Monte Carlo (MCMC) multiple-input multiple-output (MIMO) detector. The new approach resolves the previously reported high SNR stalling problem of MCMC without the need for…

Information Theory · Computer Science 2017-07-13 Jonathan C. Hedstrom , Chung Him , Yuen , Rong-Rong Chen , Behrouz Farhang-Boroujeny

In this paper, we consider the downlink of a massive multiple-input-multiple-output (MIMO) single user transmission system operating in the millimeter wave outdoor narrowband channel environment. We propose a novel receive spatial…

Information Theory · Computer Science 2018-03-23 Ahmed Raafat , Adrian Agustin , Josep Vidal

A novel compressive-sensing based signal multiplexing scheme is proposed in this paper to further improve the multiplexing gain for multiple input multiple output (MIMO) system. At the transmitter side, a Gaussian random measurement matrix…

Information Theory · Computer Science 2016-04-05 Chanzi Liu , Qingchun Chen , Xiaohu Tang

This paper investigates symbol detection for single-carrier communication systems operating in the presence of additive interference with Nakagami-m statistics. Such interference departs from the assumptions underlying conventional…

In this work, we derive the maximum a posteriori (MAP) symbol detector for a multiple-input multiple-output system in the presence of Wiener phase noise due to noisy local oscillators. As in single-antenna systems, the computation of the…

Information Theory · Computer Science 2013-12-10 Rajet Krishnan , Giulio Colavolpe , Alexandre Graell i Amat , Thomas Eriksson

This paper addresses robust waveform design for multiple-input-multiple-output (MIMO) radar detection. A probabilistic model is proposed to describe the target uncertainty. Considering that waveform design based on maximizing the…

Signal Processing · Electrical Eng. & Systems 2022-04-12 Xuyang Wang , Bo Tang , Ming Zhang

We introduce a constructive framework to learn effective Langevin equations from stationary time series. Unlike conventional approaches that require iterative calibration to match target statistics, our construction guarantees the observed…

Chaotic Dynamics · Physics 2026-02-16 Ludovico Theo Giorgini

Multiple-Input-Multiple-Output~(MIMO) signal detection is central to every state-of-the-art communication system, and enhancements in error performance and computation complexity of MIMO detection would significantly enhance data rate and…

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

Accurately detecting symbols transmitted over multiple-input multiple-output (MIMO) wireless channels is crucial in realizing the benefits of MIMO techniques. However, optimal MIMO detection is associated with a complexity that grows…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Xingyu Zhou , Le Liang , Jing Zhang , Chao-Kai Wen , Shi Jin

Langevin algorithms are popular Markov chain Monte Carlo methods that are often used to solve high-dimensional large-scale sampling problems in machine learning. The most classical Langevin Monte Carlo algorithm is based on the overdamped…

Probability · Mathematics 2026-05-21 Nian Yao , Pervez Ali , Xihua Tao , Lingjiong Zhu

In this paper, we provide a multiscale perspective on the problem of maximum marginal likelihood estimation. We consider and analyse a diffusion-based maximum marginal likelihood estimation scheme using ideas from multiscale dynamics. Our…

Computation · Statistics 2024-06-11 O. Deniz Akyildiz , Michela Ottobre , Iain Souttar

In this paper we introduce an optimized Markov Chain Monte Carlo (MCMC) technique for solving the integer least-squares (ILS) problems, which include Maximum Likelihood (ML) detection in Multiple-Input Multiple-Output (MIMO) systems. Two…

Information Theory · Computer Science 2015-06-17 Babak Hassibi , Morten Hansen , Alexandros Georgios Dimakis , Haider Ali Jasim Alshamary , Weiyu Xu

This paper studies the fundamental problem of learning deep generative models that consist of multiple layers of latent variables organized in top-down architectures. Such models have high expressivity and allow for learning hierarchical…

Machine Learning · Statistics 2020-07-21 Erik Nijkamp , Bo Pang , Tian Han , Linqi Zhou , Song-Chun Zhu , Ying Nian Wu