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In orthogonal time sequency multiplexing (OTSM) modulation, the information symbols are conveyed in the delay-sequency domain upon exploiting the inverse Walsh Hadamard transform (IWHT). It has been shown that OTSM is capable of attaining a…

Information Theory · Computer Science 2023-07-07 Zeping Sui , Shefeng Yan , Hongming Zhang , Sumei Sun , Yonghong Zeng , Lie-Liang Yang , Lajos Hanzo

Approximate message passing (AMP) is an efficient iterative signal recovery algorithm for compressed sensing (CS). For sensing matrices with independent and identically distributed (i.i.d.) Gaussian entries, the behavior of AMP can be…

Information Theory · Computer Science 2016-10-20 Zhipeng Xue , Junjie Ma , Xiaojun Yuan

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

Multiple-Input Multiple-Output (MIMO) systems are essential for wireless communications. Sinceclassical algorithms for symbol detection in MIMO setups require large computational resourcesor provide poor results, data-driven algorithms are…

Information Theory · Computer Science 2023-03-15 Alexander Fuchs , Christian Knoll , Nima N. Moghadam , Alexey Pak Jinliang Huang , Erik Leitinger , Franz Pernkopf

Approximate Message Passing (AMP) is a general framework for iterative algorithms, originally developed for compressed sensing and later extended to a wide range of high-dimensional inference problems. Although recent work has advanced…

Signal Processing · Electrical Eng. & Systems 2026-04-24 Vishnu Teja Kunde , Alessandro Mirri , Jean-Francois Chamberland , Enrico Paolini

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

Efficient signal detectors are rather important yet challenging to achieve satisfactory performance for large-scale communication systems. This paper considers a non-orthogonal sparse code multiple access (SCMA) configuration for…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Yao Ge , Lei Liu , Shunqi Huang , David González G. , Yong Liang Guan , Zhi Ding

Approximate message passing (AMP) type algorithms have been widely used in the signal reconstruction of certain large random linear systems. A key feature of the AMP-type algorithms is that their dynamics can be correctly described by state…

Information Theory · Computer Science 2023-07-03 Lei Liu , Shunqi Huang , YuZhi Yang , Zhaoyang Zhang , Brian M. Kurkoski

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

Approximate Message Passing (AMP) algorithms have seen widespread use across a variety of applications. However, the precise forms for their Onsager corrections and state evolutions depend on properties of the underlying random matrix…

Probability · Mathematics 2021-08-16 Zhou Fan

For certain sensing matrices, the Approximate Message Passing (AMP) algorithm efficiently reconstructs undersampled signals. However, in Magnetic Resonance Imaging (MRI), where Fourier coefficients of a natural image are sampled with…

Signal Processing · Electrical Eng. & Systems 2020-09-08 Charles Millard , Aaron T Hess , Boris Mailhé , Jared Tanner

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 orthogonal-time-frequency-space (OTFS) modulation has emerged as a promising modulation scheme for high mobility wireless communications. To harvest the time and frequency diversity promised by OTFS, some promising detectors, especially…

Information Theory · Computer Science 2021-02-17 Zhengdao Yuan , Fei Liu , Weijie Yuan , Qinghua Guo , Zhongyong Wang , Jinhong Yuan

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

Orthogonal delay-Doppler division multiplexing~(ODDM) modulation has recently been regarded as a promising technology to provide reliable communications in high-mobility situations. Accurate and low-complexity channel estimation is one of…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Dezhi Wang , Chongwen Huang , Xiaojun Yuan , Sami Muhaidat , Lei Liu , Xiaoming Chen , Zhaoyang Zhang , Chau Yuen , Mérouane Debbah

Orthogonal Matching Pursuit (OMP) has been a powerful method in sparse signal recovery and approximation. However, OMP suffers computational issues when the signal has a large number of non-zeros. This paper advances OMP and its extension…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Huiyuan Yu , Jia He , Maggie Cheng

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

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

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

Over the last decade or so, Approximate Message Passing (AMP) algorithms have become extremely popular in various structured high-dimensional statistical problems. The fact that the origins of these techniques can be traced back to notions…

Statistics Theory · Mathematics 2021-05-11 Oliver Y. Feng , Ramji Venkataramanan , Cynthia Rush , Richard J. Samworth