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相关论文: Probabilistic Eigenvalue Shaping for Nonlinear Fou…

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The nonlinear Fourier transform has the potential to overcome limits on performance and achievable data rates which arise in modern optical fiber communication systems when nonlinear interference is treated as noise. The periodic nonlinear…

信号处理 · 电气工程与系统科学 2020-12-24 Jan-Willem Goossens , Hartmut Hafermann , Yves Jaouën

In the presence of additive Gaussian noise, the statistics of the nonlinear Fourier transform (NFT) of a pulse are not yet completely known in closed form. In this paper, we propose a novel approach to study this problem. Our contributions…

信息论 · 计算机科学 2019-05-22 Francisco Javier Garcia-Gomez , Vahid Aref

The nonlinear Fourier transform (NFT) decomposes waveforms propagating through optical fiber into nonlinear degrees of freedom, which are preserved during transmission. By encoding information on the nonlinear spectrum, a transmission…

信号处理 · 电气工程与系统科学 2020-12-24 Jan-Willem Goossens , Hartmut Hafermann , Yves Jaouën

Probabilistic shaping for intensity modulation and direct detection (IM/DD) links is discussed and a peak power constraint determined by the limited modulation extinction ratio (ER) of optical modulators is introduced. The input…

A non-uniform channel input distribution is key for achieving the capacity of arbitrary channels. However, message bits are generally assumed to follow a uniform distribution which must first be transformed to a non-uniform distribution by…

信息论 · 计算机科学 2025-12-19 Frederik Ritter , Andrej Rode , Laurent Schmalen

Probabilistic amplitude shaping (PAS) combines an outer shaping layer with an inner, systematic forward error correction (FEC) layer to close the shaping gap. Proposed for PAS, constant composition distribution matching (CCDM) produces…

信号处理 · 电气工程与系统科学 2019-11-13 Yunus Can Gültekin , Wim J. van Houtum , Arie Koppelaar , Frans M. J. Willems

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…

信息论 · 计算机科学 2023-04-18 Mohammad Taha Askari , Lutz Lampe , Jeebak Mitra

The nonlinear Fourier transform (NFT), a powerful tool in soliton theory and exactly solvable models, is a method for solving integrable partial differential equations governing wave propagation in certain nonlinear media. The NFT…

信息论 · 计算机科学 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

In this paper, we numerically optimize broadband pulse shapes that maximize Hahn echo amplitudes. Pulses are parameterized as neural networks (NN), nonlinear amplitude limited Fourier series (FS), and discrete time series (DT). These are…

化学物理 · 物理学 2025-05-01 Eric R. Lowe , Stefan Stoll , J. P. Kestner

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…

信号处理 · 电气工程与系统科学 2025-07-25 Dongdong Zou , Wei Wang , Jiawen Yao , Zhongxing Tian , Zeyu Feng , Huan Huang , Fan Li , Gordon Ning Liu , Gangxiang Shen , Yi Cai

Affine frequency division multiplexing (AFDM) has recently emerged as a promising waveform for doubly-selective channles [1],[2], owing to its ability to fully exploit time-frequency diversity through appropriate tuning of the chirp-rate…

信号处理 · 电气工程与系统科学 2026-05-19 Haojian Zhang , Jiayan Yang , Tingting Zhang , Xu Zhu , Qinyu Zhang

Nonlinear Fourier transform (NFT) and eigenvalue communication with the use of nonlinear signal spectrum (both discrete and continuous), have been recently discussed as a promising transmission method to combat fiber nonlinearity…

Probabilistic shaping is a pragmatic approach to improve the performance of coherent optical fiber communication systems. In the nonlinear regime, the advantages offered by probabilistic shaping might increase thanks to the opportunity to…

信息论 · 计算机科学 2024-01-19 Stella Civelli , Enrico Forestieri , Marco Secondini

An original expectation propagation (EP) based message passing framework is introduced, wherein transmitted symbols are considered to belong to the multivariate white Gaussian distribution family. This approach allows deriving a novel class…

信号处理 · 电气工程与系统科学 2020-01-29 Serdar Şahin , Antonio M. Cipriano , Charly Poulliat , Marie-Laure Boucheret

We present an efficient, fast and robust Nonlinear Fourier Transform (NFT) algorithm to detect eigenvalues of the discrete spectrum. It outperforms other known NFT algorithms as it detects the eigenvalues from the continuous spectrum, the…

信息论 · 计算机科学 2018-12-10 Vahid Aref , Son T. Le , Henning Buelow

Here we show how to design phase-shifting algorithms (PSAs) for nonuniform phase-shifted fringe patterns using their frequency transfer function (FTF). Assuming that the nonuniform/nonlinear (NL) phase-steps are known, we introduce the…

信号处理 · 电气工程与系统科学 2019-02-20 Manuel Servin , Moises Padilla , Guillermo Garnica , Gonzalo Paez

In ultra-dense small cell networks, spatial multiplexing gain is a challenge because of the different propagation conditions. The channels associated with different transmitreceive pairs can be highly correlated due to the i) high…

信息论 · 计算机科学 2016-11-08 Amir H. Jafari , Vijay Venkateswaran , David Lopez-Perez , Jie Zhang

This paper presents a method of constructing Parseval frames from any collection of complex envelopes. The resulting Enveloped Sinusoid Parseval (ESP) frames can represent a wide variety of signal types as specified by their physical…

信号处理 · 电气工程与系统科学 2022-04-19 Geoff Goehle , Benjamin Cowen , J. Daniel Park , Daniel C. Brown

We implement the Fourier shape parametrization within the point-coupling covariant density functional theory to construct the collective space, potential energy surface (PES), and mass tensor, which serve as inputs for the time-dependent…

核理论 · 物理学 2025-03-13 Zeyu Li , Yang Su , Lile Liu , Yongjing Chen , Zhipan Li

Optimizing the input probability distribution of a discrete-time channel is a standard step in the information-theoretic analysis of digital communication systems. Nevertheless, many practical communication systems transmit uniformly and…

信号处理 · 电气工程与系统科学 2024-12-13 Mohammad Taha Askari , Lutz Lampe
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