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Shaping modulation formats in multi-dimensional (MD) space is an effective approach to harvest spectral efficiency gains in both the additive white Gaussian noise (AWGN) channel and the optical fiber channel. In the first part of this…

Information Theory · Computer Science 2023-02-08 Bin Chen , Yi Lei , Gabriele Liga , Zhiwei Liang , Wei Ling , Xuwei Xue , Alex Alvarado

In this paper we carry out a joint optimization of probabilistic (PS) and geometric shaping (GS) for four-dimensional (4D) modulation formats in long-haul coherent wavelength division multiplexed (WDM) optical fiber communications using an…

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

The geometry of dual-polarization four-dimensional constellations is optimized in the optical fiber channel using a recent nonlinear interference model. A 0.27 bit/4D rate gain and 13% reach increase are attained compared to…

Signal Processing · Electrical Eng. & Systems 2021-10-25 Gabriele Liga , Bin Chen , Alex Alvarado

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

Two novel 5.5 bit/4D modulation formats are experimentally demonstrated to transmit over 9680 km of SSMF. A reach increase of 29.4% over the 6 bit/4D PM-8QAM is shown. Furthermore, increased nonlinear tolerance with respect to PM-8QAM is…

Signal Processing · Electrical Eng. & Systems 2020-11-02 Sjoerd van der Heide , Bin Chen , Menno van den Hout , Hartmut Hafermann , Ton Koonen , Alex Alvarado , Chigo Okonkwo

5G cellular communications promise to deliver the gigabit experience to mobile users, with a capacity increase of up to three orders of magnitude with respect to current LTE systems. There is widespread agreement that such an ambitious goal…

Information Theory · Computer Science 2014-07-23 Paolo Banelli , Stefano Buzzi , Giulio Colavolpe , Andrea Modenini , Fredrik Rusek , Alessandro Ugolini

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

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

Multidimensional constellation shaping of up to 32 dimensions with different spectral efficiencies are compared through AWGN and fiber-optic simulations. The results show that no constellation is universal and the balance of required and…

Signal Processing · Electrical Eng. & Systems 2023-10-20 Bin Chen , Zhiwei Liang , Shen Li , Yi Lei , Gabriele Liga , Alex Alvarado

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 propose a new four-dimensional orthant-symmetric 128-ary modulation format (4D-OS128) with a spectral efficiency of 7bit/4D-sym. The proposed format fills the gap between polarization-multiplexed 8- and 16-ary quadrature-amplitude…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Bin Chen , Alex Alvarado , Sjoerd van der Heide , Menno van den Hout , Hartmut Hafermann , Chigo Okonkwo

We propose a very low-complexity and high-performance algorithm for soft-demapping of multi-dimensional modulation formats. We assess its performance over the linear channel for four 8D formats, generated using binary arithmetics. This…

Information Theory · Computer Science 2019-04-30 Djalal F. Bendimerad , Huijian Zhang , Ingmar Land , Hartmut Hafermann

Performance trade-offs between linear shaping and nonlinear tolerance of the recently introduced 4D orthant-symmetric 128-ary modulation format are investigated. Numerical simulations show 9.3% reach increase with respect to the 7b4D-2A8PSK…

Information Theory · Computer Science 2020-10-20 Bin Chen , Chigo Okonkwo , Alex Alvarado

High-speed optical wireless communication can address the exponential growth in data traffic. Adaptive beamforming customized for the target location is crucial, but existing solutions such as liquidcrystal spatial light modulators and…

Networking and Internet Architecture · Computer Science 2023-04-27 Chao Li , Yiwen Zhang , Xinda Yan , Yuzhe Wang , Xuebing Zhang , Jian Cui , Lei Zhu , Juhao Li , Zilun Li , Shaohua Yu , Zizheng Cao , A. M. J. Koonen , Chia Wei Hsu

A two-dimensional signal space for intensity- modulated channels is presented. Modulation formats using this signal space are designed to maximize the minimum distance between signal points while satisfying average and peak power…

Information Theory · Computer Science 2015-01-07 Johnny Karout , Gerhard Kramer , Frank R. Kschischang , Erik Agrell

Four dimensional geometric shell shaping (4D-GSS) is introduced as an approach for closing the nonlinearity-caused shaping gap. This format is designed at the spectral efficiency of 8 b/4D-sym and is compared against…

Signal Processing · Electrical Eng. & Systems 2024-01-08 Sebastiaan Goossens , Yunus Can Gültekin , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Alex Alvarado

Orthogonal frequency division multiplexing (OFDM) has been recently recognized as inadequate to meet the increased requirements of the next generation of communication systems. A number of alternative modulation solutions, based on the use…

Information Theory · Computer Science 2016-07-14 Konstantinos Maliatsos , Eleftherios Kofidis , Athanasios Kanatas

The growing demands of artificial intelligence and immersive media require communication beyond bit-level accuracy to meaning awareness. Conventional optical systems that focused on syntactic precision suffer significant inefficiencies.…

We propose a 4-dimensional 2-ary amplitude ring-switched modulation format with 64 symbols, which is denoted as 4D-2A-RS64 encoded over two polarization tributaries to improve the transmission performance over long-haul optical fibers in…

Signal Processing · Electrical Eng. & Systems 2023-11-30 Jingtian Liu , Élie Awwad , Yves Jaouën
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