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Related papers: On Product Codes with Probabilistic Amplitude Shap…

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High-rate product codes (PCs) and staircase codes (SCs) are ubiquitous codes in high-speed optical communication achieving near-capacity performance on the binary symmetric channel. Their success is mostly due to very efficient iterative…

Information Theory · Computer Science 2022-01-19 Lukas Rapp , Laurent Schmalen

Several authors have proposed spatially-coupled (or convolutional-like) variants of product codes (PCs). In this paper, we focus on a parametrized family of generalized PCs that recovers some of these codes (e.g., staircase and block-wise…

Information Theory · Computer Science 2016-04-29 Christian Häger , Henry D. Pfister , Alexandre Graell i Amat , Fredrik Brännström

Probabilistic shaping (PS) is investigated as a potential technique to approach the Shannon limit. However, it has been proved that conventional carrier phase recovery (CPR) algorithm designed for uniform distribution may have extra penalty…

Signal Processing · Electrical Eng. & Systems 2021-02-03 Jin Hu , Zhongliang Sun , Xuekai Xu , Mengqi Guo , Xizi Tang , Yueming Lu , Yaojun Qiao

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

We propose a novel soft-aided iterative decoding algorithm for product codes (PCs). The proposed algorithm, named iterative bounded distance decoding with combined reliability (iBDD-CR), enhances the conventional iterative bounded distance…

Information Theory · Computer Science 2021-09-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Alex Alvarado

The performance of different probabilistic amplitude shaping (PAS) techniques in the nonlinear regime is investigated, highlighting its dependence on the PAS block length and the interaction with carrier phase recovery (CPR). Different PAS…

Information Theory · Computer Science 2023-05-24 Stella Civelli , Emanuele Parente , Enrico Forestieri , Marco Secondini

We implemented a flexible transmission system operating at adjustable data rate and fixed bandwidth, baudrate, constellation and overhead using probabilistic shaping. We demonstrated in a transmission experiment up to 15% capacity and 43%…

Information Theory · Computer Science 2015-09-30 Fred Buchali , Georg Böcherer , Wilfried Idler , Laurent Schmalen , Patrick Schulte , Fabian Steiner

Topological photonic crystals (PCs) can support robust edge modes to transport electromagnetic energy in an efficient manner. Such edge modes are the eigenmodes of the PDE operator for a joint optical structure formed by connecting together…

Optimization and Control · Mathematics 2024-07-30 Chiu-Yen Kao , Junshan Lin , Braxton Osting

Generalized product codes (GPCs) are extensions of product codes (PCs) where coded bits are protected by two component codes but not necessarily arranged in a rectangular array. It has recently been shown that there exists a large class of…

Information Theory · Computer Science 2016-06-22 Christian Häger , Alexandre Graell i Amat , Henry D. Pfister , Fredrik Brännström

Generalized product codes (GPCs) are extensions of product codes (PCs) where code symbols are protected by two component codes but not necessarily arranged in a rectangular array. We consider a deterministic construction of GPCs (as opposed…

Information Theory · Computer Science 2017-02-28 Christian Häger , Henry D. Pfister , Alexandre Graell i Amat , Fredrik Brännström

This paper presents a generalized construction of RS-SPC product codes. A low-complexity joint-decoding scheme is proposed for these codes, in which a BP-based iterative decoding is performed based on the binary expansion of the whole…

Information Theory · Computer Science 2021-12-21 Mingyang Zhu , Ming Jiang , Chunming Zhao

We propose a novel construction of product codes for high-density magnetic recording based on binary low-density parity check (LDPC) codes and binary image of Reed Solomon (RS) codes. Moreover, two novel algorithms are proposed to decode…

Information Theory · Computer Science 2012-01-06 Vo Tam Van , Seiichi Mita

We propose two novel techniques to implement sequence selection (SS) for fiber nonlinearity mitigation, demonstrating a nonlinear shaping gain of 0.24 bits/s/Hz, just 0.1 bits/s/Hz below the SS capacity lower bound.

Information Theory · Computer Science 2022-10-25 Stella Civelli , Enrico Forestieri , Marco Secondini

Pinching antenna system (PAS) serves as a groundbreaking paradigm that enhances wireless communications by flexibly adjusting the position of pinching antenna (PA) and establishing a strong line-of-sight (LoS) link, thereby reducing the…

Signal Processing · Electrical Eng. & Systems 2025-11-06 Kunrui Cao , Jingyu Chen , Panagiotis D. Diamantoulakis , Lei Zhou , Xingwang Li , Yuanwei Liu , George K. Karagiannidis

In this paper, we analyze the tradeoff between coding rate and asymptotic performance of a class of generalized low-density parity-check (GLDPC) codes constructed by including a certain fraction of generalized constraint (GC) nodes in the…

Information Theory · Computer Science 2019-10-16 Yanfang Liu , Pablo M. Olmos , Tobias Koch

Recently, a novel variation of polar codes known as polarization-adjusted convolutional (PAC) codes has been introduced by Ar{\i}kan. These codes significantly outperform conventional polar and convolutional codes, particularly for short…

Information Theory · Computer Science 2025-08-15 Mohsen Moradi , Hessam Mahdavifar

Polarization-adjusted convolutional (PAC) codes were recently proposed and arouse the interest of the channel coding community because they were shown to approach theoretical bounds for the (128,64) code size. In this letter, we propose…

Information Theory · Computer Science 2020-11-09 Thibaud Tonnellier , Warren J. Gross

In this paper we carry out a joint optimization of probabilistic (PS) and geometric shaping (GS) for four-dimensional (4D) modulation formats in long-haul coherent wavelength division multiplexed (WDM) optical fiber communications using an…

In this letter, we propose a symbol-wise puncturing scheme to support hybrid automatic repeat request (HARQ) integrated probabilistic amplitude shaping (PAS). To prevent the probability distribution distortion caused by the traditional…

Information Theory · Computer Science 2022-07-26 Li Shen , Yongpeng Wu , Derrick Wing Kwan Ng , Wenjun Zhang , Xiang-Gen Xia

The flexible-rate Polar-BCH product codes are experimentally demonstrated in a coherent passive optical network system with 16QAM for the first time. Using a new hybrid soft- and hard-decision decoder, we achieve a power gain of upto 1.75…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Yifan Ye , Bin Chen , Xiang Li , Yi Lei , Zhiwei Liang , Qingqing Hu , Can Zhao , Yanni Ou