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This paper considers a discrete-valued signal estimation scheme based on a low-complexity Bayesian optimal message passing algorithm (MPA) for solving massive linear inverse problems under highly correlated measurements. Gaussian belief…

Signal Processing · Electrical Eng. & Systems 2024-11-14 Tomoharu Furudoi , Takumi Takahashi , Shinsuke Ibi , Hideki Ochiai

In cosparse analysis compressive sensing (CS), one seeks to estimate a non-sparse signal vector from noisy sub-Nyquist linear measurements by exploiting the knowledge that a given linear transform of the signal is cosparse, i.e., has…

Information Theory · Computer Science 2014-10-21 Mark Borgerding , Philip Schniter , Sundeep Rangan

This paper considers a low-complexity Gaussian Message Passing (GMP) scheme for a coded massive Multiple-Input Multiple-Output (MIMO) systems with Non-Orthogonal Multiple Access (massive MIMO-NOMA), in which a base station with $N_s$…

Information Theory · Computer Science 2018-10-26 Lei Liu , Chau Yuen , Yong Liang Guan , Ying Li , Chongwen Huang

Movable antenna (MA) is a promising technology to improve wireless communication performance by varying the antenna position in a given finite area at the transceivers to create more favorable channel conditions. In this paper, we…

Information Theory · Computer Science 2024-03-26 Lipeng Zhu , Wenyan Ma , Boyu Ning , Rui Zhang

In a recent paper, the authors proposed a new class of low-complexity iterative thresholding algorithms for reconstructing sparse signals from a small set of linear measurements \cite{DMM}. The new algorithms are broadly referred to as AMP,…

Information Theory · Computer Science 2009-11-24 David L. Donoho , Arian Maleki , Andrea Montanari

The thesis is dedicated to studying methods to improve the efficiency of random access schemes and to facilitate their deployment in machine-type communications (MTC). First, a joint user activity identification and channel estimation…

Information Theory · Computer Science 2019-06-11 Zhuo Sun

In this paper, we study the problem of secret communication over a Compound Multiple Access Channel (MAC). In this channel, we assume that one of the transmitted messages is confidential that is only decoded by its corresponding receiver…

Information Theory · Computer Science 2016-11-17 Hassan Zivari-Fard , Bahareh Akhbari , Mahmoud Ahmadian-Attari , Mohammad Reza Aref

Estimation of a vector from quantized linear measurements is a common problem for which simple linear techniques are suboptimal -- sometimes greatly so. This paper develops generalized approximate message passing (GAMP) algorithms for…

Information Theory · Computer Science 2015-03-24 Ulugbek Kamilov , Vivek K. Goyal , Sundeep Rangan

We prove the strong converse for the $N$-source Gaussian multiple access channel (MAC). In particular, we show that any rate tuple that can be supported by a sequence of codes with asymptotic average error probability less than one must lie…

Information Theory · Computer Science 2016-10-19 Silas L. Fong , Vincent Y. F. Tan

We consider the problem of signal estimation in generalized linear models defined via rotationally invariant design matrices. Since these matrices can have an arbitrary spectral distribution, this model is well suited for capturing complex…

Machine Learning · Statistics 2022-06-10 Ramji Venkataramanan , Kevin Kögler , Marco Mondelli

This letter proposes a novel message-passing algorithm for signal recovery in compressed sensing. The proposed algorithm solves the disadvantages of approximate message-passing (AMP) and orthogonal/vector AMP, and realizes their advantages.…

Information Theory · Computer Science 2020-04-22 Keigo Takeuchi

We study the Gaussian multiple access channel with random user activity, in the regime where the number of users is proportional to the code length. The receiver may know some statistics about the number of active users, but does not know…

Information Theory · Computer Science 2025-10-21 Xiaoqi Liu , Pablo Pascual Cobo , Ramji Venkataramanan

Conventional multi-user multiple-input multiple-output (MU-MIMO) mainly focused on Gaussian signaling, independent and identically distributed (IID) channels, and a limited number of users. It will be laborious to cope with the…

Information Theory · Computer Science 2022-09-20 Yuhao Chi , Lei Liu , Guanghui Song , Ying Li , Yong Liang Guan , Chau Yuen

Both theoretical analysis and empirical evidence confirm that the approximate message passing (AMP) algorithm can be interpreted as recursively solving a signal denoising problem: at each AMP iteration, one observes a Gaussian noise…

Information Theory · Computer Science 2015-06-22 Chunli Guo , Mike E. Davies

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

In this paper, the `Approximate Message Passing' (AMP) algorithm, initially developed for compressed sensing of signals under i.i.d. Gaussian measurement matrices, has been extended to a multi-terminal setting (MAMP algorithm). It has been…

Information Theory · Computer Science 2014-01-14 Saeid Haghighatshoar

This paper deals with the problem of massive random access for Gaussian multiple access channel (MAC). We continue to investigate the coding scheme for Gaussian MAC proposed by A. Vem et al in 2017. The proposed scheme consists of four…

Information Theory · Computer Science 2018-03-23 Luiza Medova , Anton Glebov , Pavel Rybin , Alexey Frolov

We develop a broadband channel estimation algorithm for millimeter wave (mmWave) multiple input multiple output (MIMO) systems with few-bit analog-to-digital converters (ADCs). Our methodology exploits the joint sparsity of the mmWave MIMO…

Information Theory · Computer Science 2017-12-07 Jianhua Mo , Philip Schniter , Robert W. Heath

We consider a multiple-input multiple-output (MIMO) multiple access channel (MAC), where the channel between each transmitter and the receiver is modeled by the doubly-scattering channel model. Based on novel techniques from random matrix…

Information Theory · Computer Science 2011-05-11 Jakob Hoydis , Romain Couillet , Merouane Debbah

We introduce the bilinear generalized vector approximate message passing (BiG-VAMP) algorithm which jointly recovers two matrices U and V from their noisy product through a probabilistic observation model. BiG-VAMP provides computationally…

Information Theory · Computer Science 2020-09-16 Mohamed Akrout , Anis Housseini , Faouzi Bellili , Amine Mezghani