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To optimize rotated, multidimensional constellations over a single-input, single-output Rayleigh fading channel, a family of rotation matrices is constructed for all dimensions which are a power of 2. This family is a one-parameter subgroup…

Information Theory · Computer Science 2016-02-02 David Karpuk , Camilla Hollanti

We use a numerical algorithm on the Lie group of rotation matrices to obtain rotated constellations for Rayleigh fading channels. Our approach minimizes the union bound for the pairwise error probability to produce rotations optimized for a…

Information Theory · Computer Science 2013-09-23 David A. Karpuk , Camilla Hollanti

This paper presents an enhanced design of multi-dimensional (MD) constellations which play a pivotal role in many communication systems such as code-domain non-orthogonal multiple access (CD-NOMA). MD constellations are attractive as their…

Information Theory · Computer Science 2022-07-25 Haifeng Wen , Zilong Liu , Qu Luo , Chuang Shi , Pei Xiao

Reliable communication over the discrete-input/continuous-output noncoherent multiple-input multiple-output (MIMO) Rayleigh block fading channel is considered when the signal-to-noise ratio (SNR) per degree of freedom is low. Two key…

Information Theory · Computer Science 2008-09-22 Shivratna Giri Srinivasan , Mahesh K. Varanasi

Constellation shaping is a practical and effective technique to improve the performance and the rate adaptivity of optical communication systems. In principle, it could also be used to mitigate the impact of nonlinear effects, possibly…

Information Theory · Computer Science 2022-06-08 Marco Secondini , Stella Civelli , Enrico Forestieri , Lareb Zar Khan

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

In this correspondence, first-tier indirect (direct) discernible constellation expansions are defined for generalized orthogonal designs. The expanded signal constellation, leading to so-called super-orthogonal codes, allows the achievement…

Information Theory · Computer Science 2011-09-06 Dumitru Mihai Ionescu , Zhiyuan Yan

Recent studies have shown the potential performance gain of Non Uniform Constellations (NUC) compared to the conventional uniform constellations. NUC can be a promising candidate in 5G systems to increase the data throughput. In the…

Information Theory · Computer Science 2018-04-04 Belkacem Mouhouche , Mohammed Al-Imari , Daniel Ansorregui

Constellation shaping is reviewed and revised for a WDM unrepeated system with high spectral efficiency. It is shown that for a constellation size-constrained system, previous optimization techniques can be highly sub-optimal, and a…

Optimization and Control · Mathematics 2019-11-06 Metodi P. Yankov

The fundamental and natural connection between the infinite constellation (IC) dimension and the best diversity order it can achieve is investigated in this paper. In the first part of this work we develop an upper bound on the diversity…

Information Theory · Computer Science 2015-03-19 Yair Yona , Meir Feder

As the research on beyond 5G heats up, we survey and explore power and bandwidth efficient modulation schemes in details. In the existing publications and in various communication standards, initially square quadrature amplitude modulation…

Signal Processing · Electrical Eng. & Systems 2020-05-01 Praveen Kumar Singya , Parvez Shaik , Nagendra Kumar , Vimal Bhatia , Mohamed-Slim Alouini

We study the problem of constructing coded modulation schemes over multidimensional signal sets in Nakagami-$m$ block-fading channels. In particular, we consider the optimal diversity reliability exponent of the error probability when the…

Information Theory · Computer Science 2007-11-26 Albert Guillen i Fabregas , Giuseppe Caire

In this paper, an unsupervised machine learning method for geometric constellation shaping is investigated. By embedding a differentiable fiber channel model within two neural networks, the learning algorithm is optimizing for a geometric…

We derive a new Sequential-Monte-Carlo-based algorithm to estimate the capacity of two-dimensional channel models. The focus is on computing the noiseless capacity of the 2-D one-infinity run-length limited constrained channel, but the…

Information Theory · Computer Science 2014-08-12 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

In this work, we focus on solving non-smooth non-convex maximization problems in multi-group multicast transmission. Leveraging Karush-Kuhn-Tucker (KKT) optimality conditions and successive incumbent transcending (SIT) duality, we…

Information Theory · Computer Science 2023-12-29 Tianyu Fang , Yijie Mao

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

Channel measurements show that significant spatially non-wide-sense-stationary characteristics rise in massive MIMO channels. Notable parameter variations are experienced along the base station array, such as the average received energy at…

Information Theory · Computer Science 2016-11-15 Xueru Li , Shidong Zhou , Emil Björnson , Jing Wang

A numerical approach to design unitary constellation for any dimension and any transmission rate under non-coherent Rayleigh flat fading channel.

Optimization and Control · Mathematics 2025-10-20 Guangyue Han , Joachim Rosenthal

We generalized to higher dimensions the notions of optical orthogonal codes. We establish uper bounds on the capacity of general $ n $-dimensional OOCs, and on specific types of ideal codes (codes with zero off-peak autocorrelation). The…

Combinatorics · Mathematics 2022-07-18 Tim Alderson

Spatial Modulation (SM) can utilize the index of the transmit antenna (TA) to transmit additional information. In this paper, to improve the performance of SM, a non-uniform constellation (NUC) and pre-scaling coefficients optimization…

Information Theory · Computer Science 2023-10-25 Xinghao Guo , Hanjiang Hong , Yin Xu , Yi-yan Wu , Dazhi He , Wenjun Zhang
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