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Related papers: Introducing 4D Geometric Shell Shaping for Mitigat…

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Geometric shell shaping is introduced and evaluated for reach increase and nonlinearity tolerance in terms of MI against PM-16QAM and PS-PM-16QAM in a 400ZR compatible transmission setup.

Signal Processing · Electrical Eng. & Systems 2022-06-08 Sebastiaan Goossens , Yunus Can Gültekin , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Alex Alvarado

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

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

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 propose a geometric shaping (GS) strategy to design 8, 16, 32 and 64-ary modulation formats for the optical fibre channel impaired by both additive white Gaussian (AWGN) and phase noise. The constellations were optimised…

Information Theory · Computer Science 2021-02-03 Hubert Dzieciol , Gabriele Liga , Eric Sillekens , Polina Bayvel , Domaniç Lavery

We propose Four-Dimensional (4D) energy limit enumerative sphere shaping (ESS) of $M$-QAM signaling to minimize rate loss and improve the transmission performance over non-linear WDM optical-fiber systems. Simulation results show that the…

Information Theory · Computer Science 2023-11-30 Jingtian Liu , Élie Awwad , Yves Jaouën

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…

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

Signal shaping is vital to approach Shannon's capacity, yet it is challenging to implement at very high speeds. For example, probabilistic shaping often requires arithmetic coding to realize the target distribution. Geometric shaping…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Bin Chen , Wei Ling , Yunus Can Gültekin , Yi Lei , Chigo Okonkwo , Alex Alvarado

The recently introduced 4D 64-ary polarisation-ring-switching format is investigated in dispersion-managed systems. Numerical simulations show a reach increase of $25\%$ with respect to PM-8QAM. This gain is achieved from the nonlinear…

Signal Processing · Electrical Eng. & Systems 2019-07-29 Bin Chen , Chigo Okonkwo , Hartmut Hafermann , Alex Alvarado

We present two new nonlinearity tolerant modulation formats at spectral efficiencies lower than 4bits/4D-symbol, obtained using a simplified bit-to-symbol mapping approach to set-partition PDM-QPSK in 8 dimensions.

Information Theory · Computer Science 2017-12-15 D. F. Bendimerad , H. Hafermann , H. Zhang

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

We derive a heuristic nonlinear interference model for 4D probabilistic shaping considering the polarization and time correlation of the 4D symbols. We demonstrate an average SNR prediction gap from split-step Fourier simulations of…

Signal Processing · Electrical Eng. & Systems 2025-03-03 Jingxin Deng , Bin Chen , Zhiwei Liang , Yi Lei , Gabriele Liga

Different aspects of probabilistic shaping for a multi-span optical communication system are studied. First, a numerical analysis of the additive white Gaussian noise (AWGN) channel investigates the effect of using a small number of input…

Information Theory · Computer Science 2016-07-29 Tobias Fehenberger , Alex Alvarado , Georg Böcherer , Norbert Hanik

In this paper, the quasi-constant modulus (QCM) property is analyzed and leveraged in the design of nonlinearity-tolerant four-dimensional (4D) modulation formats. Accordingly, we propose a family of QCM-based quadrature amplitude…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Junzhe Xiao , Zekun Niu , Lyu Li , Minghui Shi , Weisheng Hu , Lilin Yi

In this paper, a rate adaptive geometric constellation shaping (GCS) scheme which is fully backward-compatible with existing state of the art bit-interleaved coded modulation (BICM) systems is proposed and experimentally demonstrated. The…

Signal Processing · Electrical Eng. & Systems 2024-03-14 Metodi Plamenov Yankov , Smaranika Swain , Ognjen Jovanovic , Darko Zibar , Francesco Da Ros

Gaussian Splatting has been considered as a novel way for view synthesis of dynamic scenes, which shows great potential in AIoT applications such as digital twins. However, recent dynamic Gaussian Splatting methods significantly degrade…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Yiwei Li , Jiannong Cao , Penghui Ruan , Divya Saxena , Songye Zhu , Yinfeng Cao

An optical gateway to convert four-level pulse amplitude modulation to quadrature phase shift keying modulation format having shaping gain was proposed for flexible intensity to phase mapping which exploits non-uniform phase noise. The…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Takahiro Kodama , Toshiaki Koike-Akino , David S. Millar , Keisuke Kojima , Kieran Parsons

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

In this work, geometric shaping (GS) and probabilistic shaping (PS) for the AWGN channel is reviewed. Both approaches are investigated in terms of symbol-metric decoding (SMD) and bit-metric decoding (BMD). For GS, an optimization algorithm…

Information Theory · Computer Science 2016-08-16 Fabian Steiner , Georg Böcherer
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