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The statistical properties of nonlinear phase noise, often called the Gordon-Mollenauer effect, is studied analytically when the number of fiber spans is very large. The joint characteristic functions of the nonlinear phase noise with…

Optics · Physics 2007-05-23 Keang-Po Ho

Physics-Informed Neural Networks have become a powerful mesh-free method for solving partial differential equations, but their performance is often limited by spectral bias. Specifically, in standard MLPs used in PINNs, the global parameter…

Machine Learning · Computer Science 2026-05-04 Jianfeng Li , Feng Wang , Ke Tang

This paper applies probabilistic amplitude shaping (PAS) to a cyclic redundancy check (CRC) aided trellis coded modulation (TCM) to achieve the short-blocklength random coding union (RCU) bound. In the transmitter, the equally likely…

Information Theory · Computer Science 2021-11-18 Linfang Wang , Dan Song , Felipe Areces , Richard D. Wesel

A probabilistic shaping method for multi-level coding (MLC) is presented, where the transmitted symbols are forced to have a shaped non-uniform distribution. It is shown that shaping only a single bit-level suffices to compensate for most…

Information Theory · Computer Science 2018-12-20 Onurcan İşcan , Ronald Böhnke , Wen Xu

This paper presents analytical results on longitudinal power profile estimation (PPE) methods, which visualize signal power evolution in optical fibers at a coherent receiver. The PPE can be formulated as an inverse problem of the nonlinear…

Signal Processing · Electrical Eng. & Systems 2023-01-12 Takeo Sasai , Etsushi Yamazaki , Yoshiaki Kisaka

One key feature of ultra-reliable low-latency communications (URLLC) in 5G is to support short packet transmission (SPT). However, the pilot overhead in SPT for channel estimation is relatively high, especially in high Doppler environments.…

Information Theory · Computer Science 2023-09-19 Canjian Zheng , Fu-Chun Zheng , Jingjing Luo , Pengcheng Zhu , Xiaohu You , Daquan Feng

We generalize probabilistic amplitude shaping (PAS) with binary codes to the case of non-binary codes defined over prime finite fields. Firstly, we introduce probabilistic shaping via time sharing where shaping applies to information…

Information Theory · Computer Science 2017-01-30 Joseph J. Boutros , Fanny Jardel , Cyril Méasson

Spatiotemporal nonlinear interactions in multimode fibers are of interest for beam shaping and frequency conversion by exploiting the nonlinear propagation of different pump regimes from quasi-continuous wave to ultrashort pulses centered…

This paper presents design methods for highly efficient optimisation of geometrically shaped constellations to maximise data throughput in optical communications. It describes methods to analytically calculate the information-theoretical…

Information Theory · Computer Science 2022-09-19 Eric Sillekens , Gabriele Liga , Domaniç Lavery , Polina Bayvel , Robert I. Killey

The free-space optical channel has the potential to facilitate inexpensive, wireless communication with fiber-like bandwidth under short deployment timelines. However, atmospheric effects can significantly degrade the reliability of a…

Information Theory · Computer Science 2008-04-02 Nick Letzepis , Albert Guillen i Fabregas

We present nonasymptotic upper and lower bounds on the maximum coding rate achievable when transmitting short packets over a Rician memoryless block-fading channel for a given requirement on the packet error probability. We focus on the…

Information Theory · Computer Science 2017-12-19 Johan Östman , Giuseppe Durisi , Erik G. Ström , Mustafa C. Coşkun , Gianluigi Liva

Probabilistic shaping (PS) has attracted significant attention in intensity-modulation and direct-detection (IM-DD) systems. However, due to the unique system model and inherent constraints, the effective application of the PS technique is…

Signal Processing · Electrical Eng. & Systems 2025-07-25 Dongdong Zou , Wei Wang , Jiawen Yao , Zhongxing Tian , Zeyu Feng , Huan Huang , Fan Li , Gordon Ning Liu , Gangxiang Shen , Yi Cai

Parallel least mean square-partial parallel interference cancelation (PLMS-PPIC) is a partial interference cancelation which employs adaptive multistage structure. In this algorithm the channel phases for all users are assumed to be known.…

Applications · Statistics 2007-10-24 Kamal Shahtalebi , Hamidreza Saligheh Rad , Golam Reza Bakhshi

We consider the uplink of a cellular massive MIMO network. Acquiring channel state information at the base stations (BSs) requires uplink pilot signaling. Since the number of orthogonal pilot sequences is limited by the channel coherence,…

Information Theory · Computer Science 2016-05-12 Rami Mochaourab , Emil Björnson , Mats Bengtsson

Particle filtering is a popular method for inferring latent states in stochastic dynamical systems, whose theoretical properties have been well studied in machine learning and statistics communities. In many control problems, e.g.,…

Machine Learning · Computer Science 2021-07-12 Simon S. Du , Wei Hu , Zhiyuan Li , Ruoqi Shen , Zhao Song , Jiajun Wu

Optoelectronic systems based on multiple modes of light can often exceed the performance of their single-mode counterparts. However, multimode nonlinear interactions often introduce considerable amounts of noise, limiting the ultimate…

Spatial multiplexing (SM) gains in multiple input multiple output (MIMO) cellular networks are limited when used in combination with ultra-dense small cell networks. This limitation is due to large spatial correlation among channel pairs.…

Information Theory · Computer Science 2016-11-15 Amir H. Jafari , Vijay Venkateswaran , David Lopez-Perez , Jie Zhang

In this paper, pilot-symbol-assisted transmission in cognitive radio systems over time selective flat fading channels is studied. It is assumed that causal and noncausal Wiener filter estimators are used at the secondary receiver with the…

Information Theory · Computer Science 2010-04-09 Sami Akin , Mustafa Cenk Gursoy

Modulation constellation design is a core challenge in digital communications, especially under stringent demands on spectral efficiency, robustness, and energy consumption. Classical schemes like PSK and QAM, while analytically tractable,…

Signal Processing · Electrical Eng. & Systems 2026-01-22 Nipun Agarwal

Amplification of quantum states is inevitably accompanied with the introduction of noise at the output. For protocols that are probabilistic with heralded success, noiseless linear amplification in theory may still possible. When the…

Quantum Physics · Physics 2017-04-28 Syed Assad , Mark Bradshaw , Ping Koy Lam