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This paper considers the Gaussian multiple-access channel (MAC) in the asymptotic regime where the number of users grows linearly with the code length. We propose efficient coding schemes based on random linear models with approximate…

Information Theory · Computer Science 2022-05-04 Kuan Hsieh , Cynthia Rush , Ramji Venkataramanan

Approximate Message Passing (AMP) algorithms are a family of iterative algorithms based on large random matrices with the special property of tracking the statistical properties of their iterates. They are used in various fields such as…

Probability · Mathematics 2025-03-27 Mohammed-Younes Gueddari , Walid Hachem , Jamal Najim

Channel estimation and signal detection are very challenging for an orthogonal frequency division multiplexing (OFDM) system without cyclic prefix (CP). In this article, deep learning based on orthogonal approximate message passing…

Signal Processing · Electrical Eng. & Systems 2019-05-08 Jing Zhang , Hengtao He , Chao-Kai Wen , Shi Jin , Geoffrey Ye Li

The capacity-achieving input covariance matrices for coherent block-fading correlated MIMO Rician channels are determined. In this case, no closed-form expressions for the eigenvectors of the optimum input covariance matrix are available.…

Probability · Mathematics 2011-06-07 Julien Dumont , W. Hachem , Samson Lasaulce , Philippe Loubaton , Jamal Najim

Orthogonal time frequency space (OTFS) modulation has emerged as a promising solution to support high-mobility wireless communications, for which, cost-effective data detectors are critical. Although graph neural network (GNN)-based data…

Signal Processing · Electrical Eng. & Systems 2024-04-16 Wenhao Zhuang , Yuyi Mao , Hengtao He , Lei Xie , Shenghui Song , Yao Ge , Zhi Ding

In this contribution, an algorithm for evaluating the capacity-achieving input covariance matrices for frequency selective Rayleigh MIMO channels is proposed. In contrast with the flat fading Rayleigh case, no closed-form expressions for…

Information Theory · Computer Science 2011-04-13 Florian Dupuy , Philippe Loubaton

Purpose: For quantitative susceptibility mapping (QSM), the lack of ground-truth in clinical settings makes it challenging to determine suitable parameters for the dipole inversion. We propose a probabilistic Bayesian approach for QSM with…

Image and Video Processing · Electrical Eng. & Systems 2023-06-01 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu

Multiple antenna (MIMO) devices are widely used to increase reliability and information bit rate. Optimal error rate performance (full diversity and large coding gain), for unknown channel state information at the transmitter and for…

Information Theory · Computer Science 2012-05-14 Dieter Duyck , Sheng Yang , Fambirai Takawira , Joseph J. Boutros , Marc Moeneclaey

Approximate Message Passing (AMP) algorithms provide a valuable tool for studying mean-field approximations and dynamics in a variety of applications. Although these algorithms are often first derived for matrices having independent…

Probability · Mathematics 2024-09-10 Tianhao Wang , Xinyi Zhong , Zhou Fan

Bayesian approximate message passing (BAMP) is an efficient method in compressed sensing that is nearly optimal in the minimum mean squared error (MMSE) sense. Bayesian approximate message passing (BAMP) performs joint recovery of multiple…

Information Theory · Computer Science 2019-01-30 Gabor Hannak , Alessandro Perelli , Norbert Goertz , Gerald Matz , Mike E. Davies

Approximate Message Passing (AMP) algorithms enable precise characterization of certain classes of random objects in the high-dimensional limit, and have found widespread applications in fields such as signal processing, statistics, and…

Statistics Theory · Mathematics 2025-07-01 Longlin Wang , Yanke Song , Kuanhao Jiang , Pragya Sur

Motivated by the recent interest in approximate message passing (AMP) for matrix-valued linear observations with superposition of \emph{multiple statistically asymmetric signal sources}, we introduce a multi-source AMP framework in which…

Information Theory · Computer Science 2025-01-22 Burak Çakmak , Giuseppe Caire

Approximate Message Passing (AMP) has been shown to be a superior method for inference problems, such as the recovery of signals from sets of noisy, lower-dimensionality measurements, both in terms of reconstruction accuracy and in…

Information Theory · Computer Science 2015-06-10 Andre Manoel , Florent Krzakala , Eric W. Tramel , Lenka Zdeborová

End-to-end autoencoder (AE) learning has the potential of exceeding the performance of human-engineered transceivers and encoding schemes, without a priori knowledge of communication-theoretic principles. In this work, we aim to understand…

Information Theory · Computer Science 2022-03-16 Jinxiang Song , Christian Häger , Jochen Schröder , Timothy J. O'Shea , Erik Agrell , Henk Wymeersch

A common goal in many research areas is to reconstruct an unknown signal x from noisy linear measurements. Approximate message passing (AMP) is a class of low-complexity algorithms that can be used for efficiently solving such…

Signal Processing · Electrical Eng. & Systems 2020-03-27 Hangjin Liu , Cynthia Rush , Dror Baron

We propose a novel receiver for orthogonal frequency division multiplexing (OFDM) transmissions in impulsive noise environments. Impulsive noise arises in many modern wireless and wireline communication systems, such as Wi-Fi and powerline…

Information Theory · Computer Science 2015-06-16 Marcel Nassar , Philip Schniter , Brian L. Evans

In this paper we consider the generalized approximate message passing (GAMP) algorithm for recovering a sparse signal from modulo samples of randomized projections of the unknown signal. The modulo samples are obtained by a self-reset (SR)…

Signal Processing · Electrical Eng. & Systems 2018-07-10 Osman Musa , Peter Jung , Norbert Goertz

When recovering a sparse signal from noisy compressive linear measurements, the distribution of the signal's non-zero coefficients can have a profound effect on recovery mean-squared error (MSE). If this distribution was apriori known, then…

Information Theory · Computer Science 2015-06-05 Jeremy P. Vila , Philip Schniter

This paper proposes a low-complexity iterative receiver for the recently proposed Orthogonal Chirp Division Multiplexing (OCDM) modulation scheme, where we consider a system under frequency-selective channels and constrained to channel…

Signal Processing · Electrical Eng. & Systems 2019-03-20 Roberto Bomfin , Marwa Chafii , Gerhard Fettweis

We consider the problem of recovering an unknown signal ${\mathbf x}\in {\mathbb R}^n$ from general nonlinear measurements obtained through a generalized linear model (GLM), i.e., ${\mathbf y}= f\left({\mathbf A}{\mathbf x}+{\mathbf…

Information Theory · Computer Science 2022-10-18 Jiang Zhu , Xiangming Meng , Xupeng Lei , Qinghua Guo
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