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We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

Information Theory · Computer Science 2016-11-03 Yanting Ma , Junan Zhu , Dror Baron

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

This paper considers massive access in massive multiple-input multiple-output (MIMO) systems and proposes an adaptive active user detection and channel estimation scheme based on compressive sensing. By exploiting the sporadic traffic of…

Signal Processing · Electrical Eng. & Systems 2020-08-04 Malong Ke , Zhen Gao , Yongpeng Wu , Xiqi Gao , Robert Schober

Approximate message-passing (AMP) method is a simple and efficient framework for the linear inverse problems. In this letter, we propose a faster AMP to solve the \emph{$L_1$-Split-Analysis} for the 2D sparsity separation, which is referred…

Information Theory · Computer Science 2015-07-13 Jaewook Kang , Hyoyoung Jung , Kiseon Kim

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

Information Theory · Computer Science 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

Millimeter-Wave Massive MIMO is important for beyond 5G or 6G wireless communication networks. The goal of this paper is to establish successful communication between the cellular base stations and devices, focusing on the problem of joint…

Signal Processing · Electrical Eng. & Systems 2024-02-08 Yinchuan Li , Yuancheng Zhan , Le Zheng , Xiaodong Wang

Gaussian and quadratic approximations of message passing algorithms on graphs have attracted considerable recent attention due to their computational simplicity, analytic tractability, and wide applicability in optimization and statistical…

Information Theory · Computer Science 2026-03-12 Sundeep Rangan , Alyson K. Fletcher , Vivek K. Goyal , Evan Byrne , Philip Schniter

Approximate message passing (AMP) algorithms have shown great promise in sparse signal reconstruction due to their low computational requirements and fast convergence to an exact solution. Moreover, they provide a probabilistic framework…

Sound · Computer Science 2018-02-02 Turab Iqbal , Wenwu Wang

This paper addresses the problem of joint user identification and channel estimation (JUICE) for grant-free access in massive machine-type communications (mMTC). We consider the JUICE under a spatially correlated fading channel model as…

Signal Processing · Electrical Eng. & Systems 2021-12-09 Hamza Djelouat , Leatile Marata , Markus Leinonen , Hirley Alves , Markku Juntti

With the complication of future communication scenarios, most conventional signal processing technologies of multi-user multiple-input multiple-output (MU-MIMO) become unreliable, which are designed based on ideal assumptions, such as…

Information Theory · Computer Science 2022-06-27 Yuhao Chi , Lei Liu , Guanghui Song , Ying Li , Yong Liang Guan , Chau Yuen

A key challenge of massive MTC (mMTC), is the joint detection of device activity and decoding of data. The sparse characteristics of mMTC makes compressed sensing (CS) approaches a promising solution to the device detection problem.…

Information Theory · Computer Science 2018-06-27 Kamil Senel , Erik G. Larsson

This paper considers an uplink massive machine-type communication (mMTC) scenario, where a large number of user devices are connected to a base station (BS). A novel grant-free massive random access (MRA) strategy is proposed, considering…

Information Theory · Computer Science 2021-02-23 Jia-Cheng Jiang , Hui-Ming Wang

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

Deep learning has gained great popularity due to its widespread success on many inference problems. We consider the application of deep learning to the sparse linear inverse problem, where one seeks to recover a sparse signal from a few…

Information Theory · Computer Science 2017-08-02 Mark Borgerding , Philip Schniter , Sundeep Rangan

Approximate message passing (AMP) is a low-cost iterative parameter-estimation technique for certain high-dimensional linear systems with non-Gaussian distributions. However, AMP only applies to independent identically distributed (IID)…

Information Theory · Computer Science 2021-06-07 Lei Liu , Shunqi Huang , Brian M. Kurkoski

Approximate message passing (AMP) algorithms are iterative methods for signal recovery in noisy linear systems. In some scenarios, AMP algorithms need to operate within a distributed network. To address this challenge, the distributed…

Signal Processing · Electrical Eng. & Systems 2024-07-26 Jun Lu , Lei Liu , Shunqi Huang , Ning Wei , Xiaoming Chen

In this paper, an efficient distributed approach for implementing the approximate message passing (AMP) algorithm, named distributed AMP (DAMP), is developed for compressed sensing (CS) recovery in sensor networks with the sparsity K…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-26 Puxiao Han , Ruixin Niu , Mengqi Ren

This work explores multi-modal inference in a high-dimensional simplified model, analytically quantifying the performance gain of multi-modal inference over that of analyzing modalities in isolation. We present the Bayes-optimal performance…

Machine Learning · Statistics 2025-09-30 Christian Keup , Lenka Zdeborová

Compressed sensing (CS) deals with the problem of reconstructing a sparse vector from an under-determined set of observations. Approximate message passing (AMP) is a technique used in CS based on iterative thresholding and inspired by…

Signal Processing · Electrical Eng. & Systems 2019-07-12 Viktoria Schram , Ali Bereyhi , Jan-Nico Zaech , Ralf R. Müller , Wolfgang H. Gerstacker

Millimeter-wave massive multiple-input multiple-output (MIMO) can use a lens antenna array to considerably reduce the number of radio frequency (RF) chains, but channel estimation is challenging due to the number of RF chains is much…

Signal Processing · Electrical Eng. & Systems 2020-10-26 Xiuhong Wei , Chen Hu , Linglong Dai