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We propose a sparse Grassmannian design for precoding codebooks. Due to their sparse structure, our proposed codebooks achieve low peak-to-average power ratio (PAPR), low complexity of precoder multiplication, and low storage cost, while…

Signal Processing · Electrical Eng. & Systems 2026-03-04 Joe Asano , Yuto Hama , Hiroki Iimori , Chandan Pradhan , Szabolcs Malomsoky , Naoki Ishikawa

This work presents a novel structured family of Grassmannian constellations for multiple-input multiple-output (MIMO) noncoherent communications over Rayleigh block-fading channels, where neither the transmitter nor the receiver has channel…

Signal Processing · Electrical Eng. & Systems 2025-10-20 Álvaro Pendás-Recondo , Enrique Pendás-Recondo

We propose a new covert communication scheme that operates without pre-sharing side information and channel estimation, utilizing a Gaussian-distributed Grassmann constellation for noncoherent detection. By designing constant-amplitude…

Signal Processing · Electrical Eng. & Systems 2025-02-20 Hiroki Fukada , Hiroki Iimori , Chandan Pradhan , Szabolcs Malomsoky , Naoki Ishikawa

In this letter, we propose an autoencoder (AE) for designing Grassmannian constellations in noncoherent (NC) multiple-input multiple-output (MIMO) systems. To guarantee the properties of Grassmannian constellations, the proposed AE…

Information Theory · Computer Science 2021-09-07 Xiaotian Fu , Didier Le Ruyet

This paper proposes a noncoherent low probability of detection (LPD) communication system based on direct sequence spread spectrum (DSSS) and Grassmannian signaling. Grassmannian constellations enhance covertness because they tend to follow…

Signal Processing · Electrical Eng. & Systems 2025-10-30 Diego Cuevas , Mikel Gutiérrez , Jesús Ibáñez , Ignacio Santamaria

In this paper, we propose a practical structured constellation for non-coherent communication with a single transmit antenna over Rayleigh flat and block fading channel without instantaneous channel state information. The constellation…

Information Theory · Computer Science 2020-06-05 Khac-Hoang Ngo , Alexis Decurninge , Maxime Guillaud , Sheng Yang

We study a new class of codes for Gaussian multi-terminal source and channel coding. These codes are designed using the statistical framework of high-dimensional linear regression and are called Sparse Superposition or Sparse Regression…

Information Theory · Computer Science 2012-12-11 Ramji Venkataramanan , Sekhar Tatikonda

We consider the design of multiuser constellations for a multiple access channel (MAC) with K users, with M antennas each, that transmit simultaneously to a receiver equipped with N antennas through a Rayleigh block-fading channel, when no…

Information Theory · Computer Science 2022-09-05 Javier Álvarez-Vizoso , Diego Cuevas , Carlos Beltrán , Ignacio Santamaria , Vit Tucek , Gunnar Peters

Motivated by hyper-reliable low-latency communication in 6G, we consider error control coding for short block lengths in multi-antenna fading channels. In general, the channel fading coefficients are unknown at both the transmitter and…

Signal Processing · Electrical Eng. & Systems 2025-05-13 Sai Dinesh Kancharana , Madhusudan Kumar Sinha , Arun Pachai Kannu

Sparse regression codes (SPARCs) are a class of codes that encode information through the superposition of columns of a randomised coding matrix. The combination with an outer non-binary low density parity check (NB-LDPC) code was recently…

Information Theory · Computer Science 2025-09-23 Alexander Fengler , Burak Çakmak , Giuseppe Caire

Sparse superposition codes were originally proposed as a capacity-achieving communication scheme over the gaussian channel, whose coding matrices were made of i.i.d. gaussian entries.We extend this coding scheme to more generic ensembles of…

Information Theory · Computer Science 2022-05-27 TianQi Hou , YuHao Liu , Teng Fu , Jean Barbier

Sparsity-based representations have recently led to notable results in various visual recognition tasks. In a separate line of research, Riemannian manifolds have been shown useful for dealing with features and models that do not lie in…

Machine Learning · Computer Science 2015-05-21 Mehrtash Harandi , Richard Hartley , Chunhua Shen , Brian Lovell , Conrad Sanderson

Sparse superposition codes, or sparse regression codes, constitute a new class of codes which was first introduced for communication over the additive white Gaussian noise (AWGN) channel. It has been shown that such codes are…

Information Theory · Computer Science 2018-11-12 Jean Barbier , Mohamad Dia , Nicolas Macris

This paper considers the problem of code design for a channel where communications and radar systems coexist, modeled as having both Additive White Gaussian Noise (AWGN) and Additive Radar Interference (ARI). The issue of how to adapt or…

Information Theory · Computer Science 2019-04-12 Federico Brunero , Daniela Tuninetti , Natasha Devroye

In this paper, we propose a new structured Grassmannian constellation for noncoherent communications over single-input multiple-output (SIMO) Rayleigh block-fading channels. The constellation, which we call Grass-Lattice, is based on a…

Information Theory · Computer Science 2022-09-12 Javier Álvarez-Vizoso , Carlos Beltrán , Ignacio Santamaria , Vit Tucek , Gunnar Peters

We recently proved threshold saturation for spatially coupled sparse superposition codes on the additive white Gaussian noise channel. Here we generalize our analysis to a much broader setting. We show for any memoryless channel that…

Information Theory · Computer Science 2016-03-16 Jean Barbier , Mohamad Dia , Nicolas Macris

We propose a novel, Gaussian signaling mechanism for low probability of detection (LPD) communication systems with either single or multiple antennas. The new scheme is designed to allow the noncoherent detection of Gaussian-distributed…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Yuma Katsuki , Giuseppe Thadeu Freitas de Abreu , Koji Ishibashi , Naoki Ishikawa

We provide a novel framework to study subspace codes for non-coherent communications in wireless networks. To this end, an analog operator channel is defined with inputs and outputs being subspaces of $\mathbb{C}^n$. Then a certain distance…

Information Theory · Computer Science 2022-01-31 Mahdi Soleymani , Hessam Mahdavifar

We recently showed in [1] the superiority of certain structured coding matrices ensembles (such as partial row-orthogonal) for sparse superposition codes when compared with purely random matrices with i.i.d. entries, both…

Information Theory · Computer Science 2022-07-12 YuHao Liu , Teng Fu , Jean Barbier , TianQi Hou

The problem of sparse array design for dual-function radar-communications is investigated. Our goal is to design a sparse array which can simultaneously shape desired beam responses and serve multiple downlink users with the required…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Huiping Huang , Linlong Wu , Bhavani Shankar , Abdelhak M. Zoubir
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