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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

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

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

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 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

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

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

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

We assess the accuracy of a recently introduced nonlinear interference model for general dual-polarization 4D formats.~ Unlike previous models for polarization-multiplexed 2D formats, an average gap from split-step Fourier simulations…

Signal Processing · Electrical Eng. & Systems 2021-01-28 Gabriele Liga , Bin Chen , Astrid Barreiro , 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

Probabilistic shaping of quadrature amplitude modulation (QAM) is used to enhance the sensitivity of an optical communication system. Sensitivity gains of 0.43 dB and 0.8 dB are demonstrated in back-to-back experiments by shaping of 16QAM…

Information Theory · Computer Science 2016-01-19 Tobias Fehenberger , Domaniç Lavery , Robert Maher , Alex Alvarado , Polina Bayvel , Norbert Hanik

Probabilistic amplitude shaping (PAS) is a practical means to achieve a shaping gain in optical fiber communication. However, PAS and shaping in general also affect the signal-dependent generation of nonlinear interference. This provides an…

Information Theory · Computer Science 2023-04-18 Mohammad Taha Askari , Lutz Lampe , Jeebak Mitra

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

A new probabilistic shaping distribution that outperforms Maxwell-Boltzmann is studied for the nonlinear fiber channel. Additional gains of 0.1 bit/symbol MI or 0.2 dB SNR for both DP-256QAM and DP-1024QAM are reported after 200 km…

The rate flexibility and probabilistic shaping gain of $4$-dimensional signaling is experimentally tested for short-reach, unrepeated transmission. A rate granularity of 0.5 bits/QAM symbol is achieved with a distribution matcher based on a…

In this paper, probabilistic shaping is numerically and experimentally investigated for increasing the transmission reach of wavelength division multiplexed (WDM) optical communication system employing quadrature amplitude modulation (QAM).…

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

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 propose multi-dimensional short blocklength probabilistic shaping to increase the nonlinear tolerance gain in digital subcarrier multiplexing transmission systems and demonstrate an improvement in performance compared to lower…

Information Theory · Computer Science 2021-05-12 Abdelkerim Amari , Andre Richter

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
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