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Related papers: Capacity Optimality of AMP in Coded Systems

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This paper studies a large random matrix system (LRMS) model involving an arbitrary signal distribution and forward error control (FEC) coding. We establish an area property based on the approximate message passing (AMP) algorithm. Under…

Information Theory · Computer Science 2021-06-07 Lei Liu , Chulong Liang , Junjie Ma , Li Ping

This paper investigates a large unitarily invariant system (LUIS) involving a unitarily invariant sensing matrix, an arbitrary fixed signal distribution, and forward error control (FEC) coding. Several area properties are established based…

Information Theory · Computer Science 2022-06-24 Lei Liu , Shansuo Liang , Li Ping

This paper investigates a large unitarily invariant system (LUIS) involving a unitarily invariant sensing matrix, an arbitrarily fixed signal distribution, and forward error control (FEC) coding. A universal Gram-Schmidt orthogonalization…

Information Theory · Computer Science 2023-11-13 Lei Liu , Shansuo Liang , Li Ping

This paper introduces a random modulation technique that is decoupled from the channel matrix, allowing it to be applied to arbitrary norm-bounded and spectrally convergent channel matrices. The proposed random modulation constructs an…

Information Theory · Computer Science 2026-01-01 Lei Liu , Yuhao Chi , Shunqi Huang

Approximate message passing (AMP) refers to a class of efficient algorithms for statistical estimation in high-dimensional problems such as compressed sensing and low-rank matrix estimation. This paper analyzes the performance of AMP in the…

Information Theory · Computer Science 2018-10-23 Cynthia Rush , Ramji Venkataramanan

This paper considers a compressed-coding scheme that combines compressed sensing with forward error control coding. Approximate message passing (AMP) is used to decode the message. Based on the state evolution analysis of AMP, we derive the…

Information Theory · Computer Science 2024-10-30 Shansuo Liang , Chulong Liang , Junjie Ma , Li Ping

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 2022-06-24 Lei Liu , Shunqi Huang , Brian M. Kurkoski

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

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

As wireless communication applications evolve from traditional multipath environments to high-mobility scenarios like unmanned aerial vehicles, multiplexing techniques have advanced accordingly. Traditional single-carrier frequency-domain…

Information Theory · Computer Science 2026-01-15 Lei Liu , Yuhao Chi , Shunqi Huang , Zhaoyang Zhang

This paper proposes a coding framework for capacity-region-achieving sparse regression (SR) codes over MIMO multiple-access channels (MIMO-MAC), where a single SR code is used for each user at the transmitter. With random semi-unitary…

Information Theory · Computer Science 2026-04-14 Hao Yan , Lei Liu , Yuhao Liu , Burak Çakmak , Giuseppe Caire

The integration of multicarrier modulation and multiple-input-multiple-output (MIMO) is critical for reliable transmission of wireless signals in complex environments, which significantly improve spectrum efficiency. Existing studies have…

Information Theory · Computer Science 2026-01-09 Yuhao Chi , Zhiyuan Peng , Lei Liu , Ying Li , Yao Ge , Chau Yuen

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

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

High-dimensional signal recovery of standard linear regression is a key challenge in many engineering fields, such as, communications, compressed sensing, and image processing. The approximate message passing (AMP) algorithm proposed by…

Information Theory · Computer Science 2022-03-02 Qiuyun Zou , Hongwen Yang

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

We consider communication over the Gaussian multiple-access channel in the regime where the number of users grows linearly with the codelength. In this regime, schemes based on sparse superposition coding can achieve a near-optimal tradeoff…

Information Theory · Computer Science 2025-06-04 Xiaoqi Liu , Kuan Hsieh , Ramji Venkataramanan

In this paper, we have investigated the application of non-binary LDPC codes to spatial multiplexing MIMO systems with a large number of low power antennas. We demonstrate that such large MIMO systems incorporating with low-complexity MMSE…

Information Theory · Computer Science 2012-03-06 Puripong Suthisopapan , Kenta Kasai , Anupap Meesomboon , Virasit Imtawil

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

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
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