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We apply belief propagation (BP) to multi--user detection in a spread spectrum system, under the assumption of Gaussian symbols. We prove that BP is both convergent and allows to estimate the correct conditional expectation of the input…

Information Theory · Computer Science 2007-07-13 Andrea Montanari , Balaji Prabhakar , David Tse

The generalized approximate message passing (GAMP) algorithm under the Bayesian setting shows advantage in recovering under-sampled sparse signals from corrupted observations. Compared to conventional convex optimization methods, it has a…

Information Theory · Computer Science 2017-01-12 Shuai Huang , Trac D. Tran

Traditional radar and integrated sensing and communication (ISAC) systems often approximate targets as point sources, a simplification that fails to capture the essential scattering characteristics for many applications. This paper presents…

Signal Processing · Electrical Eng. & Systems 2025-05-01 Baptiste Sambon , François De Saint Moulin , Guillaume Thiran , Claude Oestges , Luc Vandendorpe

We consider the problem of estimating an input signal from noisy measurements in both parallel scalar Gaussian channels and linear mixing systems. The performance of the estimation process is quantified by the $\ell_\infty$ norm error…

Information Theory · Computer Science 2013-04-23 Jin Tan , Dror Baron , Liyi Dai

Signal recovery from unitarily invariant measurements is investigated in this paper. A message-passing algorithm is formulated on the basis of expectation propagation (EP). A rigorous analysis is presented for the dynamics of the algorithm…

Information Theory · Computer Science 2019-05-22 Keigo Takeuchi

Mean-field systems have been previously derived for networks of coupled, two-dimensional, integrate-and-fire neurons such as the Izhikevich, adapting exponential (AdEx) and quartic integrate and fire (QIF), among others. Unfortunately, the…

Neurons and Cognition · Quantitative Biology 2016-05-19 Wilten Nicola , Cheng Ly , Sue Ann Campbell

Efficient estimation of line spectral from quantized samples is of significant importance in information theory and signal processing, e.g., channel estimation in energy efficient massive MIMO systems and direction of arrival estimation.…

Information Theory · Computer Science 2019-09-04 Jiang Zhu , Qi Zhang , Xiangming Meng

We consider the weighted belief-propagation (WBP) decoder recently proposed by Nachmani et al. where different weights are introduced for each Tanner graph edge and optimized using machine learning techniques. Our focus is on simple-scaling…

Information Theory · Computer Science 2019-11-07 Mengke Lian , Fabrizio Carpi , Christian Häger , Henry D. Pfister

We consider distributed estimation of a Gaussian source in a heterogenous bandwidth constrained sensor network, where the source is corrupted by independent multiplicative and additive observation noises, with incomplete statistical…

Information Theory · Computer Science 2018-05-23 Alireza Sani , Azadeh Vosoughi

Generalized Vector Approximate Message Passing (GVAMP) is an efficient iterative algorithm for approximately minimum-mean-squared-error estimation of a random vector $\mathbf{x}\sim p_{\mathbf{x}}(\mathbf{x})$ from generalized linear…

Information Theory · Computer Science 2018-06-27 Christopher A. Metzler , Philip Schniter , Richard G. Baraniuk

In the setting of entangled single-sample distributions, the goal is to estimate some common parameter shared by a family of distributions, given one \emph{single} sample from each distribution. We study mean estimation and linear…

Machine Learning · Computer Science 2020-07-08 Hui Yuan , Yingyu Liang

The error floor phenomenon observed with LDPC codes and their graph-based, iterative, message-passing (MP) decoders is commonly attributed to the existence of error-prone substructures -- variously referred to as near codewords, trapping…

Information Theory · Computer Science 2013-09-11 Xiaojie Zhang , Paul H. Siegel

Orthogonal time frequency space (OTFS) modulation has emerged as a robust solution for high-mobility wireless communications. However, conventional detection algorithms, such as linear equalizers and message passing (MP) methods, either…

Signal Processing · Electrical Eng. & Systems 2025-12-17 Ruohai Yang , Shuangyang Li , Han Yu , Zhiqiang Wei , Kai Wan , Giuseppe Caire

Nonlinear phase noise, often called the Gordon-Mollenauer effect, can be compensated electronically by subtracting from the received phase a correction proportional to the received intensity. The optimal scaling factor is derived…

Optics · Physics 2013-01-15 Keang-Po Ho , Joseph M. Kahn

We propose and analyze an approximate message passing (AMP) algorithm for the matrix tensor product model, which is a generalization of the standard spiked matrix models that allows for multiple types of pairwise observations over a…

Machine Learning · Statistics 2023-06-28 Riccardo Rossetti , Galen Reeves

This paper proposes new methodology for sequential state and parameter estimation within the ensemble Kalman filter. The method is fully Bayesian and propagates the joint posterior density of states and parameters over time. In order to…

Methodology · Statistics 2016-11-14 Jonathan R. Stroud , Matthias Katzfuss , Christopher K. Wikle

We investigate the problem of jointly testing two hypotheses and estimating a random parameter based on data that is observed sequentially by sensors in a distributed network. In particular, we assume the data to be drawn from a Gaussian…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

Cell-free massive MIMO is one of the core technologies for future wireless networks. It is expected to bring enormous benefits, including ultra-high reliability, data throughput, energy efficiency, and uniform coverage. As a radically…

Information Theory · Computer Science 2023-03-08 Hengtao He , Xianghao Yu , Jun Zhang , S. H. Song , Khaled B. Letaief

An efficient mass sensor based on exceptional points (EPs), engineered under synthetic magnetism requirement, is proposed. The benchmark system consists of an electromechanical (optomechanical) system where an electric (optical) field is…

Mesoscale and Nanoscale Physics · Physics 2023-02-09 S. R. Mbokop Tchounda , P. Djorwé , S. G. Nana Engo , B. Djafari-Rouhani

A non-iterative phase noise compensation method based on the sum-product algorithm (SPA) is applied to the outputs of intersymbol interference (ISI) channels. The outputs are modeled as independent Gaussian random variables, and the…

Information Theory · Computer Science 2026-04-21 Alex Jäger , Gerhard Kramer
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