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This paper presents a new class of sparse superposition codes for low-rates and short-packet communications over the additive white Gaussian noise channel. The new code is orthogonal sparse superposition (OSS) code. A codeword of OSS codes…

Information Theory · Computer Science 2020-11-24 Yunseo Nam , Jeonghun Park , Songnam Hong , Namyoon Lee

In this paper we consider Basis Pursuit De-Noising (BPDN) problems in which the sparse original signal is drawn from a finite alphabet. To solve this problem we propose an iterative message passing algorithm, which capitalises not only on…

Information Theory · Computer Science 2016-11-17 Andreas Muller , Dino Sejdinovic , Robert Piechocki

In this paper, we derive the exact input/output transfer functions of the optimal a-posteriori probability channel detector for a general ISI channel with erasures. Considering three channel impulse responses of different memory as an…

Information Theory · Computer Science 2024-04-17 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier

In this paper, we investigate the performance of cell-free massive MIMO systems with massive connectivity. With the generalized approximate message passing (GAMP) algorithm, we obtain the minimum mean-squared error (MMSE) estimate of the…

Information Theory · Computer Science 2021-05-17 Mangqing Guo , M. Cenk Gursoy

Approximate message passing (AMP) is an algorithmic framework for solving linear inverse problems from noisy measurements, with exciting applications such as reconstructing images, audio, hyper spectral images, and various other signals,…

Information Theory · Computer Science 2017-02-13 Junan Zhu , Ryan Pilgrim , Dror Baron

We consider the Additive White Gaussian Noise channel with Binary Phase Shift Keying modulation. Our aim is to enable an algebraic hard decision Bounded Minimum Distance decoder for a binary block code to exploit soft information obtained…

Information Theory · Computer Science 2009-05-18 Christian Senger , Vladimir Sidorenko , Victor Zyablov

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

This paper considers a generalized multiple-input multiple-output (GMIMO) with practical assumptions, such as massive antennas, practical channel coding, arbitrary input distributions, and general right-unitarily-invariant channel matrices…

Information Theory · Computer Science 2023-10-30 Yufei Chen , Lei Liu , Yuhao Chi , Ying Li , Zhaoyang Zhang

It is known that sparse superposition codes asymptotically achieve the channel capacity over the additive white Gaussian noise channel with both maximum likelihood decoding and efficient decoding (Joseph and Barron in 2012, 2014). Takeishi…

Information Theory · Computer Science 2025-04-22 Yoshinari Takeishi , Jun'ichi Takeuchi

Tensor CANDECOMP/PARAFAC decomposition (CPD) is a fundamental model for tensor reconstruction. Although the Bayesian framework allows for principled uncertainty quantification and automatic hyperparameter learning, existing methods do not…

Machine Learning · Computer Science 2026-01-27 Bingyang Cheng , Zhongtao Chen , Yichen Jin , Hao Zhang , Chen Zhang , Edmund Y. Lam , Yik-Chung Wu

In Generalized Linear Estimation (GLE) problems, we seek to estimate a signal that is observed through a linear transform followed by a component-wise, possibly nonlinear and noisy, channel. In the Bayesian optimal setting, Generalized…

Disordered Systems and Neural Networks · Physics 2021-02-03 Luca Saglietti , Yue M. Lu , Carlo Lucibello

Semantic communication represents a promising roadmap toward achieving end-to-end communication with reduced communication overhead and an enhanced user experience. The integration of semantic concepts with wireless communications presents…

Information Theory · Computer Science 2023-07-04 Hossein Rezaei , Thushan Sivalingam , Nandana Rajatheva

This paper proposes Bayes-optimal convolutional approximate message-passing (CAMP) for signal recovery in compressed sensing. CAMP uses the same low-complexity matched filter (MF) for interference suppression as approximate message-passing…

Information Theory · Computer Science 2021-04-05 Keigo Takeuchi

This paper considers the generalized bilinear recovery problem which aims to jointly recover the vector $\mathbf b$ and the matrix $\mathbf X$ from componentwise nonlinear measurements ${\mathbf Y}\sim p({\mathbf Y}|{\mathbf…

Information Theory · Computer Science 2018-12-27 Xiangming Meng , Jiang Zhu

Reliable and low latency multicast communication is important for future vehicular communication. Sparse random linear network coding approach used to ensure the reliability of multicast communication has been widely investigated. A…

Information Theory · Computer Science 2020-10-13 Wenlin Chen , Fang Lu , Yan Dong

We revisit the Gaussian broadcast channel (GBC) and explore the rate region achieved by purely discrete inputs with treating interference as noise (TIN) decoding. Specifically, we introduce a simple scheme based on superposition coding with…

Information Theory · Computer Science 2026-04-07 Yujie Shao , Min Qiu

Sparse superimposed coding (SSC) has emerged as a promising technique for short-packet transmission in ultra-reliable low-latency communication scenarios. However, conventional SSC schemes often suffer from high encoding and decoding…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Yanfeng Zhang , Xi'an Fan , Xu Zhu , Jinkai Zheng , Hui Liang , Weiwei Yang , Tom H. Luan

Approximate message passing (AMP) and its variants, developed based on loopy belief propagation, are attractive for estimating a vector x from a noisy version of z = Ax, which arises in many applications. For a large A with i. i. d.…

Information Theory · Computer Science 2015-04-21 Qinghua Guo , Jiangtao Xi

This article characterizes new boundary points on the capacity region of certain classes of more capable broadcast channels (BC) with uni-directional cooperation from the stronger to the weaker receiver. The new boundary points are achieved…

Information Theory · Computer Science 2026-01-14 Nicolas Le Gouic , Yossef Steinberg , Michèle Wigger

We study a new class of codes for lossy compression with the squared-error distortion criterion, designed using the statistical framework of high-dimensional linear regression. Codewords are linear combinations of subsets of columns of a…

Information Theory · Computer Science 2015-12-21 Ramji Venkataramanan , Antony Joseph , Sekhar Tatikonda
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