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Fully digital massive MIMO systems with large numbers (1000+) of antennas offer dramatically increased capacity gains from spatial multiplexing and beamforming. Designing digital receivers that can scale to these array dimensions presents…

Signal Processing · Electrical Eng. & Systems 2026-04-23 Ali Rasteh , Amirreza Kiani , Marco Mezzavilla , Sundeep Rangan

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).…

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 based on constant composition distribution matching (CCDM) has received considerable attention as a way to increase the capacity of fiber optical communication systems. CCDM suffers from significant rate loss at short…

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

Linear layered probabilistic shaping (LLPS) is proposed, an architecture for linear codes to efficiently encode to shaped code words. In the previously proposed probabilistic amplitude shaping (PAS) architecture, a distribution matcher (DM)…

Information Theory · Computer Science 2019-02-28 Georg Böcherer , Diego Lentner , Alessandro Cirino , Fabian Steiner

Performance of concatenated multilevel coding with probabilistic shaping (PS) and Voronoi constellations (VCs) is analysed over AWGN channel. Numerical results show that VCs provide up to 1.3 dB SNR gains over PS-QAM with CCDM blocklength…

Signal Processing · Electrical Eng. & Systems 2024-10-01 Yajie Sheng , Bin Chen , Yi Lei , Jingxin Deng , Jiwei Xu , Mengfan Fu , Qunbi Zhuge , Shen Li

This paper proposes a joint design of probabilistic constellation shaping (PCS) and precoding to enhance the sum-rate performance of multi-user visible light communications (VLC) broadcast channels subject to signal amplitude constraint. In…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Thang K. Nguyen , Thanh V. Pham , Hoang D. Le , Chuyen T. Nguyen , Anh T. Pham

An LDPC coded modulation scheme with probabilistic shaping, optimized interleavers and noniterative demapping is proposed. Full-field simulations show an increase in transmission distance by 8% compared to uniformly distributed input.

Information Theory · Computer Science 2015-08-18 Tobias Fehenberger , Georg Böcherer , Alex Alvarado , Norbert Hanik

Product distribution matching (PDM) is proposed to generate target distributions over large alphabets by combining the output of several parallel distribution matchers (DMs) with smaller output alphabets. The parallel architecture of PDM…

Information Theory · Computer Science 2017-02-27 Georg Böcherer , Patrick Schulte , Fabian Steiner

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

This paper proposes a joint design of probabilistic constellation shaping (PCS) and precoding to enhance the sum-rate performance of multi-user visible light communications (VLC) broadcast channels subject to signal amplitude constraint. In…

Systems and Control · Electrical Eng. & Systems 2025-02-14 Thang K. Nguyen , Thanh V. Pham , Hoang D. Le , Chuyen T. Nguyen , Anh T. Pham

The low-pass characteristics of front-end elements including light-emitting diodes (LEDs) and photodiodes (PDs) limit the transmission data rate of visible light communication (VLC) and Light Fidelity (LiFi) systems. Using multiplexing…

Signal Processing · Electrical Eng. & Systems 2022-09-21 Cheng Chen , Shenjie Huang , Iman Tavakkolnia , Majid Safari , Harald Haas

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

Probabilistic constellation shaping has been used in long-haul optically amplified coherent systems for its capability to approach the Shannon limit and realize fine rate granularity. The availability of high-bandwidth optical-electronic…

Signal Processing · Electrical Eng. & Systems 2023-03-31 Md Sabbir-Bin Hossain , Georg Bocherer , Talha Rahman , Tom Wettlin , Nebojsa Stojanovic , Stefano Calabro , Stephan Pachnicke

This paper studies the impact of probabilistic shaping on effective signal-to-noise ratios (SNRs) and achievable information rates (AIRs) in a back-to-back configuration and in unrepeated nonlinear fiber transmissions. For back-to-back,…

The hierarchical distribution matching (Hi-DM) approach for probabilistic shaping is described. The potential of Hi-DM in terms of trade-off between performance,complexity, and memory is illustrated through three case studies.

Information Theory · Computer Science 2020-02-20 Stella Civelli , Marco Secondini

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

Optimization and Control · Mathematics 2016-12-22 Ketan Rajawat , Sandeep Kumar

We present an autoregressive end-to-end learning approach for probabilistic shaping on nonlinear fiber channels. Our proposed scheme learns the joint symbol distribution and provides a 0.3-bits/2D achievable information rate gain over an…

Machine Learning · Computer Science 2025-07-23 Mohammad Taha Askari , Lutz Lampe , Amirhossein Ghazisaeidi

A method is introduced to perform simultaneous sparse dimension reduction on two blocks of variables. Beyond dimension reduction, it also yields an estimator for multivariate regression with the capability to intrinsically deselect…

Methodology · Statistics 2024-11-28 Sven Serneels