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We study achievable rates for four-dimensional (4D) constellations for spectrally efficient optical systems based on a (suboptimal) bit-wise receiver. We show that PM-QPSK outperforms the best 4D constellation designed for uncoded…

Information Theory · Computer Science 2024-01-25 Alex Alvarado , Erik Agrell

We introduce a trainable coded modulation scheme that enables joint optimization of the bit-wise mutual information (BMI) through probabilistic shaping, geometric shaping, bit labeling, and demapping for a specific channel model and for a…

Information Theory · Computer Science 2020-04-15 Fayçal Ait Aoudia , Jakob Hoydis

We review the design of multidimensional modulations by maximizing generalized mutual information and compare the maximum transmission reach of recently introduced 4D formats. A model-based optimization for nonlinear-tolerant 4D modulations…

Signal Processing · Electrical Eng. & Systems 2021-12-24 Bin Chen , Gabriele Liga , Yi Lei , Wei Ling , Zhengyan Huan , Xuwei Xue , Alex Alvarado

Achievable information rates are used as a metric to design novel modulation formats via geometric shaping. The proposed geometrically shaped 256-ary constellation achieves SNR gains of up to 1.18 dB.

Information Theory · Computer Science 2020-06-05 Bin Chen , Chigo Okonkwo , Hartmut Hafermann , Alex Alvarado

Nonlinear interference models for dual-polarization 4D (DP-4D) modulation have only been used so far to predict signal-signal nonlinear interference. We show that including the signal-noise term in the prediction of the effective…

Signal Processing · Electrical Eng. & Systems 2022-07-18 Zhiwei Liang , Bin Chen , Yi Lei , Gabriele Liga , Alex Alvarado

We optimize modulation formats for the additive white Gaussian noise channel with nonnegative input, also known as the intensity-modulated direct-detection channel, with and without confining them to a lattice structure. Our optimization…

Information Theory · Computer Science 2015-01-07 Johnny Karout , Erik Agrell , Krzysztof Szczerba , Magnus Karlsson

A practical $2^m$-ary polar coded modulation (PCM) scheme with optimal constellation labeling is proposed. To efficiently find the optimal labeling rule, the search space is reduced by exploiting the symmetry properties of the channels.…

Information Theory · Computer Science 2013-07-11 Kai Chen , Kai Niu , Jiaru Lin

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, 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

We propose a novel 5-bit/2D-symbol modulation format based on PAM-6 optimized for IM-DD systems dominated by relative intensity noise. The proposed modulation scheme improves SNR by 0.94 dB compared to conventional PAM-6 and achieves…

Signal Processing · Electrical Eng. & Systems 2025-06-03 Felipe Villenas , Kaiquan Wu , Yunus Can Gültekin , Jamal Riani , Alex Alvarado

Quadrature amplitude modulation (QAM), deployed in billions of communication devises, exhibits a shaping-loss of $\pi \mathrm{e}/6$ ($\approx 1.53$ dB) compared to the Shannon-Hartley theorem. With inspiration gained from special (leaf,…

Information Theory · Computer Science 2017-08-25 Peter Larsson

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

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

We optimize modulation formats for the additive white Gaussian noise channel with a nonnegative input constraint, also known as the intensity-modulated direct detection channel, with and without confining them to a lattice structure. Our…

Information Theory · Computer Science 2015-03-19 Johnny Karout , Erik Agrell , Krzysztof Szczerba , Magnus Karlsson

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 low-cost reconfigurable metasurface transmitter to implement generalized polarization-space modulation (GPSM) that has been proposed for next-generation wireless communications. Unlike conventional multiple-input…

Applied Physics · Physics 2021-03-24 John A. Hodge , Kumar Vijay Mishra , Quang M. Nguyen , Amir. I. Zaghloul

The four-dimensional nonlinear model is extended to include the inter-channel stimulated Raman scattering, enabling accurate prediction of dual-polarization four-dimensional modulation formats and probabilistically shaped constellations in…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Zhiwei Liang , Bin Chen , Jiwei Xu , Yi Lei , Qingqing Hu , Fan Zhang , Gabriele Liga

This paper presents a high linearity PAM-4 transmitter (TX) architecture, consisting of a three-segment micro-ring modulator (MRM) and a matched CMOS driver. This architecture can drive a high-linearity 4-level pulse amplitude (PAM-4)…

Signal Processing · Electrical Eng. & Systems 2024-04-25 Zheng Li , Chengyang Lv , Min Tan

This paper proposes a new coded modulation scheme for reliable transmission of short data packets at very low signal-to-noise ratio, combining cyclic code shift keying modulation and non-binary polar coding. We consider non-binary polar…

Information Theory · Computer Science 2022-04-07 Valentin Savin

A class of circular 64-QAM that combines 'geometric' and 'probabilistic' shaping aspects is presented. It is compared to square 64-QAM in back-to-back, single-channel, and WDM transmission experiments. First, for the linear AWGN channel…