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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

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

This paper introduces a new quantization scheme for real and complex Grassmannian sources. The proposed approach relies on a structured codebook based on a geometric construction of a collection of bent grids defined from an initial mesh on…

Information Theory · Computer Science 2016-10-27 Alexis Decurninge , Maxime Guillaud

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

This paper proposes a novel design of multi-symbol unitary constellation for non-coherent single-input multiple-output (SIMO) communications over block Rayleigh fading channels. To facilitate the design and the detection of large unitary…

Information Theory · Computer Science 2023-11-08 Son T. Duong , Ha H. Nguyen , Ebrahim Bedeer , Robert Barton

In this paper, we propose a method for designing sparse Grassmannian codes for noncoherent multiple-input multiple-output systems. Conventional pairwise error probability formulations under uncorrelated Rayleigh fading channels fail to…

Signal Processing · Electrical Eng. & Systems 2026-01-30 Joe Asano , Yuto Hama , Hiroki Iimori , Chandan Pradhan , Szabolcs Malomsoky , Naoki Ishikawa

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

This paper investigates non-coherent detection of single-input multiple-output (SIMO) systems over block Rayleigh fading channels. Using the Kullback-Leibler divergence as the design criterion, we formulate a multiple-symbol constellation…

Information Theory · Computer Science 2022-11-18 Son T. Duong , Ha H. Nguyen , Ebrahim Bedeer

In this paper, we present a general framework of designing geometrically shaped constellations for short-packet visible light communications with a peak- and an average-intensity constraints. By leveraging tools from large deviation theory,…

Information Theory · Computer Science 2024-04-30 Jia-Ning Guo , Ru-Han Chen , Jian Zhang , Longguang Li , Xu Yang , Jing Zhou

In this paper we propose constellations with suitable structure which allow one to construct codes with excellent diversity using geometrical symmetry and numerical methods. We also demonstrate how these structured constellations…

Optimization and Control · Mathematics 2007-05-23 Guangyue Han , Joachim Rosenthal

The stringent requirements of ultra-reliable low-latency communications (URLLC) require rethinking of the physical layer transmission techniques. Massive antenna arrays are seen as an enabler of the emerging $5^\text{th}$ generation…

Information Theory · Computer Science 2018-03-22 Alexandru-Sabin Bana , Marko Angjelichinoski , Elisabeth de Carvalho , Petar Popovski

This paper presents design methods for highly efficient optimisation of geometrically shaped constellations to maximise data throughput in optical communications. It describes methods to analytically calculate the information-theoretical…

Information Theory · Computer Science 2022-09-19 Eric Sillekens , Gabriele Liga , Domaniç Lavery , Polina Bayvel , Robert I. Killey

Grassmannian constellations are known to achieve the capacity of noncoherent communications over Rayleigh fading channels in the high-SNR regime, yet their efficient construction remains challenging. In this paper, we propose two…

Information Theory · Computer Science 2026-05-07 Kotaro Shigenaga , Hiroki Iimori , Yuto Hama , Chandan Pradhan , Szabolcs Malomsoky , Naoki Ishikawa

A geometrically-shaped 256-QAM constellation, tailored to the nonlinear optical fibre channel, is experimentally demonstrated. The proposed constellation outperforms both uniform and AWGN-tailored 256-QAM, as it is designed to optimise the…

Information Theory · Computer Science 2018-11-21 E. Sillekens , D. Semrau , D. Lavery , P. Bayvel , R. I. Killey

The performance of constructive interference precoding (CIP) for multi-user multi-antenna (MU-MIMO) systems is governed by the structure of the constructive interference (CI) regions, yet this is overlooked in conventional constellation…

Information Theory · Computer Science 2026-04-07 Yupeng Zheng , Chunmei Xu , Jinfei Wang , Yi Ma , Rahim Tafazolli

For a single transmit and receive antenna system, a new constellation design is proposed to combat errors in the phase estimate of the channel coefficient. The proposed constellation is a combination of PSK and PAM constellations, where PSK…

Information Theory · Computer Science 2010-10-11 Naqueeb Warsi , Rahul Vaze , Tapan Shah

A novel Gamma-distributed geometric constellation design framework for integrated sensing and communication (ISAC) is proposed in this paper. In this framework, constellation points are modeled as samples drawn from a parameterized…

Information Theory · Computer Science 2026-04-27 Amirhossein Keshavarzchafjiri , Janith K. Dassanayake , Gayan A. Aruma Baduge , Mojtaba Vaezi

In this paper we propose a new design criterion and a new class of unitary signal constellations for differential space-time modulation for multiple-antenna systems over Rayleigh flat-fading channels with unknown fading coefficients.…

Information Theory · Computer Science 2008-05-12 Xinjia Chen , Kemin Zhou , Jorge Aravena

We consider the joint constellation design problem for the noncoherent multiple-input multiple-output multiple-access channel (MAC). By analyzing the noncoherent maximum-likelihood detection error, we propose novel design criteria so as to…

Information Theory · Computer Science 2022-07-06 Khac-Hoang Ngo , Sheng Yang , Maxime Guillaud , Alexis Decurninge

The recent advancement in research on distributed space systems that operate a large number of satellites as a single system urges the need for the investigation of satellite constellations. Communication constellations can be used to…

Space Physics · Physics 2025-03-18 Soobin Jeon , Sang-Young Park
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