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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

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) 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

Band-trellis enumerative sphere shaping is proposed to decrease the energy variations in channel input sequences. Against sphere shaping, 0.74 dB SNR gain and up to 9% increase in data rates are demonstrated for single-span systems.

信号处理 · 电气工程与系统科学 2022-01-11 Yunus Can Gültekin , Alex Alvarado , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Frans M. J. Willems

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…

In this work, we present an open-source implementation of the enumerative sphere shaping (ESS) algorithm used for probabilistic constellation shaping (PCS). PCS aims at closing the shaping gap caused by using uniformly distributed…

信息论 · 计算机科学 2024-02-15 Frederik Ritter , Andrej Rode , Laurent Schmalen

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

The dependency between the Gaussianity of the input distribution for the additive white Gaussian noise (AWGN) channel and the gap-to-capacity is discussed. We show that a set of particular approximations to the Maxwell-Boltzmann (MB)…

信号处理 · 电气工程与系统科学 2019-12-02 Yunus Can Gültekin , W. J. van Houtum , Arie Koppelaar , Frans M. J. Willems

We consider probabilistic amplitude shaping (PAS) as a means of increasing the spectral efficiency of fiber-optic communication systems. In contrast to previous works in the literature, we consider probabilistic shaping with hard decision…

信息论 · 计算机科学 2018-04-04 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

Probabilistic amplitude shaping (PAS) is a coded modulation strategy in which constellation shaping and channel coding are combined. PAS has attracted considerable attention in both wireless and optical communications. Achievable…

信息论 · 计算机科学 2020-07-14 Yunus Can Gültekin , Alex Alvarado , Frans M. J. Willems

Probabilistic amplitude shaping (PAS) can flexibly vary the spectral efficiency (SE) of fiber-optic systems. In this paper, we demonstrate the application of PAS to bit-wise hard decision decoding (HDD) of product codes (PCs) by finding the…

信息论 · 计算机科学 2020-08-17 Alireza Sheikh , Alexandre Graell i Amat , Alex Alvarado

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…

信息论 · 计算机科学 2020-04-15 Fayçal Ait Aoudia , Jakob Hoydis

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)…

信息论 · 计算机科学 2019-02-28 Georg Böcherer , Diego Lentner , Alessandro Cirino , Fabian Steiner

Free-space optical (FSO) transmission enables fast, secure, and efficient next-generation communications with abundant spectrum resources. However, atmospheric turbulence, pointing errors, path loss, and atmospheric loss induce random…

信号处理 · 电气工程与系统科学 2025-11-25 Jingtian Liu , Xiongwei Yang , Yi Wei , Jianjun Yu , Feng Zhao

Probabilistic Amplitude Shaping (PAS) is a coded-modulation scheme in which the encoder is a concatenation of a distribution matcher with a systematic Forward Error Correction (FEC) code. For reduced computational complexity the decoder can…

信息论 · 计算机科学 2018-06-05 Rana Ali Amjad

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…

信息论 · 计算机科学 2023-11-30 Jingtian Liu , Élie Awwad , Yves Jaouën

In optical communication systems, short blocklength probabilistic enumerative sphere shaping (ESS) provides both linear shaping gain and nonlinear tolerance. In this work, we investigate the performance and complexity of ESS in comparison…

信息论 · 计算机科学 2020-10-23 Abdelkerim Amari , Lutz Lampe , O. S. Sunish Kumar , Yunus Can Gultekin , Alex Alvarado

Nonlinear interference (NLI) generated during the propagation of an optical waveform through the fiber depends on the fourth order standardized moment of the channel input distribution, also known as kurtosis. Probabilistically-shaped…

信号处理 · 电气工程与系统科学 2021-10-22 Yunus Can Gültekin , Alex Alvarado , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Frans M. J. Willems

Probabilistic shaping (PS) has been widely studied and applied to optical fiber communications. The encoder of PS expends the number of bit slots and controls the probability distribution of channel input symbols. Not only studies focused…

信息论 · 计算机科学 2024-01-25 Tsuyoshi Yoshida , Koji Igarashi , Magnus Karlsson , Erik Agrell

Coded modulation with probabilistic amplitude shaping (PAS) is considered for intensity modulation/direct detection channels with a transmitter peak-power constraint. PAS is used to map bits to a uniform PAM-6 distribution and outperforms…

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