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The capacity achieving probability mass function (PMF) of a finite signal constellation with an average power constraint is in most cases non-uniform. A common approach to generate non-uniform input PMFs is Huffman shaping, which consists…

Information Theory · Computer Science 2011-06-28 Georg Böcherer , Fabian Altenbach , Rudolf Mathar

Constellation shaping is a well-established method to improve upon a regular quadrature amplitude modulation (QAM). It is known that the gain achieved by any shaping method for an additive white Gaussian noise (AWGN) channel is…

Information Theory · Computer Science 2025-04-28 Kirill Ivanov , Wei Yang , Jing Jiang

In optical communications, four-dimensional (4D) modulation formats encode information onto the quadrature components of two arbitrary orthogonal states of polarisation of the optical field. These formats have recently regained attention…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Gabriele Liga , Astrid Barreiro , Hami Rabbani , Alex Alvarado

In this paper, we address the problem of optimizing signal constellations for strong phase noise. The problem is investigated by considering three optimization formulations, which provide an analytical framework for constellation design. In…

Information Theory · Computer Science 2016-11-15 Rajet Krishnan , Alexandre Graell i Amat , Thomas Eriksson , Giulio Colavolpe

Through refined asymptotic analysis based on the normal approximation, we study how higher-order coding performance depends on the mean power as well as on finer statistics of the input power. We introduce a multifaceted power model in…

Information Theory · Computer Science 2026-05-13 Adeel Mahmood , Aaron B. Wagner

A practical communication channel often suffers from constraints on input other than the average power, such as the peak power constraint. In order to compare achievable rates with different constellations as well as the channel capacity…

Information Theory · Computer Science 2011-05-17 Shiro Ikeda , Kazunori Hayashi , Toshiyuki Tanaka

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

In this paper, the fundamental limits on the rates at which information and energy can be simultaneously transmitted over an additive white Gaussian noise channel are studied under the following assumptions: $(a)$ the channel is memoryless;…

Information Theory · Computer Science 2021-10-06 Sadaf ul Zuhra , Samir M. Perlaza , Eitan Altman

In this paper, we study two types of optical wireless channels under average-intensity constraints. One is called the Gaussian optical intensity channel, where the channel output models the converted electrical current corrupted by additive…

Information Theory · Computer Science 2025-04-02 Longguang Li

We consider the problem of transmitting a source over an infinite-bandwidth additive white Gaussian noise channel with unknown noise level under an input energy constraint. We construct a universal scheme that uses modulo-lattice modulation…

Information Theory · Computer Science 2024-10-28 Omri Lev , Anatoly Khina

We investigate theoretically the efficiency of deep-space optical communication in the presence of background noise. With decreasing average signal power spectral density, a scaling gap opens up between optimized simple-decoded pulse…

Quantum Physics · Physics 2018-02-20 Marcin Jarzyna , Wojciech Zwoliński , Michał Jachura , Konrad Banaszek

The additivity problem asks if the use of entanglement can boost the information-carrying capacity of a given channel beyond what is achievable by coding with simple product states only. This has recently been shown not to be the case for…

Quantum Physics · Physics 2018-04-10 Stefan Huber , Robert Koenig

Probabilistic constellation shaping (PCS) has been widely applied to amplified coherent optical transmissions owing to its shaping gain over the uniform signaling and fine-grained rate adaptation to the underlying fiber channel condition.…

Signal Processing · Electrical Eng. & Systems 2021-09-08 Di Che , Junho Cho , Xi Chen

Mixed noise, composed of white Gaussian noise (WGN) and impulsive noise (IN), appears in numerous communication scenarios and can severely degrade system performance. In this paper, we optimize the transmitted constellation under mixed…

Signal Processing · Electrical Eng. & Systems 2025-09-09 Tianfu Qi , Jun Wang

In this paper, a new four-dimensional 64-ary polarization ring switching (4D-64PRS) modulation format with a spectral efficiency of 6 bit/4D-sym is introduced. The format is designed by maximizing the generalized mutual information (GMI)…

Signal Processing · Electrical Eng. & Systems 2019-06-07 Bin Chen , Chigo Okonkwo , Hartmut Hafermann , Alex Alvarado

Unconventional receivers enable reduction of error rates in optical communication systems below the standard quantum limit (SQL) by implementing discrimination strategies for constellation symbols that go beyond the canonical measurement of…

Quantum Physics · Physics 2019-10-01 L. Kunz , M. T. DiMario , F. E. Becerra , K. Banaszek

Utilizing the multi-dimensional (MD) space for constellation shaping has been proven to be an effective approach for achieving shaping gains. Despite there exists a variety of MD modulation formats tailored for specific optical transmission…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Bin Chen , Zhiwei Liang , Yi Lei , JingXin Deng , Shen Li , Gabriele Liga

An uplink system with a single antenna transmitter and a single receiver with a large number of antennas is considered. We propose an energy-detection-based single-shot noncoherent communication scheme which does not use the instantaneous…

Information Theory · Computer Science 2015-07-20 Alexandros Manolakos , Mainak Chowdhury , Andrea J. Goldsmith

Hierarchical modulation (HM) is able to provide different levels of protection for data streams and achieve a rate region that cannot be realized by traditional orthogonal schemes, such as time division (TD). Nevertheless, criterions and…

Information Theory · Computer Science 2016-10-19 Baicen Xiao , Kexin Xiao , Zhiyong Chen , Hui Liu

The use of directly modulated lasers (DMLs) is attractive in low-power, cost-constrained short-reach optical links. However, their limited modulation bandwidth can induce waveform distortion, undermining their data throughput. Traditional…

Signal Processing · Electrical Eng. & Systems 2024-06-21 Sergio Hernandez F. , Christophe Peucheret , Francesco Da Ros , Darko Zibar