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Polar codes are a class of {\bf structured} channel codes proposed by Ar{\i}kan based on the principle of {\bf channel polarization}, and can {\bf achieve} the symmetric capacity of any Binary-input Discrete Memoryless Channel (B-DMC). The…

Information Theory · Computer Science 2019-11-22 Yong Fang

Dirty paper coding (DPC) refers to methods for pre-subtraction of known interference at the transmitter of a multiuser communication system. There are numerous applications for DPC, including coding for broadcast channels. Recently,…

Information Theory · Computer Science 2010-01-21 G Shilpa , Andrew Thangaraj , Srikrishna Bhashyam

Block codes are typically not used for fading channels as soft decision decoding is computationally intensive and hard decision decoding results in performance loss. In this paper we propose a diversity preserving hard decision decoding…

Information Theory · Computer Science 2020-12-18 Aaqib A. Patel , Abdul Mateen Ahmed , Mohammed Zafar Ali Khan

A polar-coded transmission (PCT) scheme with joint channel estimation and decoding is proposed for channels with unknown channel state information (CSI). The CSI is estimated via successive cancellation (SC) decoding and the constraints…

Information Theory · Computer Science 2021-02-23 Peihong Yuan , Mustafa Cemil Coşkun , Gerhard Kramer

We propose multi-dimensional short blocklength probabilistic shaping to increase the nonlinear tolerance gain in digital subcarrier multiplexing transmission systems and demonstrate an improvement in performance compared to lower…

Information Theory · Computer Science 2021-05-12 Abdelkerim Amari , Andre Richter

Polar codes are the first error-correcting code proven to achieve channel capacity based on infinite code length. The Successive Cancellation List Flip (SCLF) decoding algorithm was proposed by flipping an erroneous bit during the next…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Fu-Siang Liang , Shan Lu , Yeong-Luh Ueng

Current deterministic algorithms for the construction of polar codes can only be argued to be practical for channels with small input alphabet sizes. In this paper, we show that any construction algorithm for channels with moderate input…

Information Theory · Computer Science 2015-06-30 Ido Tal

This paper presents a refined analysis of the block error rate (BLER) of polar codes over symmetric binary-input discrete memoryless channels under successive cancellation (SC) and successive cancellation list (SCL) decoding. A novel…

Information Theory · Computer Science 2026-03-23 Hassan Noghrei , Murad Abdullah

A novel SC decoding method of polar codes is proposed in $d$-deletion channels, where a new pruning strategy is designed to reduce decoding complexity. Considering the difference of the scenario weight distributions, pruning thresholds for…

Information Theory · Computer Science 2024-05-22 He Sun , Rongke Liu , Bin Dai

Polar codes have been gaining a lot of interest due to it being the first coding scheme to provably achieve the symmetric capacity of a binary memoryless channel with an explicit construction. However, the main drawback of polar codes is…

Information Theory · Computer Science 2019-11-11 Heshani Gamage , Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-aho

Most of the prior works on designing codebooks for limited feedback systems have not considered the presence of strong line-of-sight (LOS) channel component. This paper proposes the design of polar-cap codebook (PCC) for multipleinput…

Information Theory · Computer Science 2022-06-28 Sung Hyuck Hong , Sucheol Kim , Junil Choi , Wan Choi

We present a method of constructing rate-compatible polar codes that are capacity-achieving with low-complexity sequential decoders. The proposed code construction allows for incremental retransmissions at different rates in order to adapt…

Information Theory · Computer Science 2016-01-29 Song-Nam Hong , Dennis Hui , Ivana Marić

In this paper, a two-hop network in which information is transmitted from a source via a relay to a destination is considered. It is assumed that the channels are static fading with additive white Gaussian noise. All nodes are equipped with…

Information Theory · Computer Science 2009-05-18 Vahid Pourahmadi , Alireza Bayesteh , Amir K. Khandani

With the evolution from 5G to 6G, ultra-reliable low-latency communication (URLLC) faces increasingly stringent performance requirements. Lower latency constraints demand shorter channel coding lengths, which can severely degrade decoding…

Information Theory · Computer Science 2025-08-07 Yaqi Li , Xiaohu You , Jiamin Li , Chen Ji , Bin Sheng

A method for efficiently successive cancellation (SC) decoding of polar codes with high-dimensional linear binary kernels (HDLBK) is presented and analyzed. We devise a $l$-expressions method which can obtain simplified recursive formulas…

Information Theory · Computer Science 2017-01-18 Zhiliang Huang , Shiyi Zhang , Feiyan Zhang , Chunjiang Duanmu , Ming Chen

An unsupervised learning approach based on expectation maximization is proposed to obtain the parameters of a soft decision forward error correction decoding metric for probabilistic shaping. The algorithm depends only on the channel…

Information Theory · Computer Science 2018-06-27 Fabian Steiner , Patrick Schulte , Georg Böcherer

Channel polarization, originally proposed for binary-input channels, is generalized to arbitrary discrete memoryless channels. Specifically, it is shown that when the input alphabet size is a prime number, a similar construction to that for…

Information Theory · Computer Science 2009-08-04 Eren Sasoglu , Emre Telatar , Erdal Arikan

We propose a low complexity list successive cancellation (LCLSC) decoding algorithm to reduce complexity of traditional list successive cancellation (LSC) decoding of polar codes while trying to maintain the LSC decoding performance at the…

Information Theory · Computer Science 2013-09-13 Congzhe Cao , Zesong Fei , Jinhong Yuan , Jingming Kuang

Polar codes have emerged as the most favorable channel codes for their unique capacity-achieving property. To date, numerous works have been reported for efficient design of polar codes decoder. However, these prior efforts focused on…

Information Theory · Computer Science 2015-01-15 Bo Yuan , Keshab K. Parhi

A key issue in physical-layer network coding (PNC) is how to deal with the asynchrony between signals transmitted by multiple transmitters. That is, symbols transmitted by different transmitters could arrive at the receiver with symbol…

Information Theory · Computer Science 2015-03-19 Lu Lu , Soung Chang Liew