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This work analyzes the latency of the simplified successive cancellation (SSC) decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang. It is shown that, unlike conventional successive cancellation decoding, where latency…

Information Theory · Computer Science 2020-09-08 Marco Mondelli , Seyyed Ali Hashemi , John Cioffi , Andrea Goldsmith

In this paper, we first indicate that the block error event of polar codes under successive cancellation list (SCL) decoding is composed of path loss (PL) error event and path selection (PS) error event, where the PL error event is that…

Information Theory · Computer Science 2023-07-07 Jinnan Piao , Dong Li , Xueting Yu , Zhibo Li , Ming Yang , Jindi Liu , Peng Zeng

Nowadays polar codes are becoming one of the most favorable capacity achieving error correction codes for their low encoding and decoding complexity. However, due to the large code length required by practical applications, the few existing…

Hardware Architecture · Computer Science 2011-11-04 Chuan Zhang , Bo Yuan , Keshab K. Parhi

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

Cyclic redundancy check (CRC) aided polar codes are capable of achieving better performance than low-density parity-check (LDPC) codes under the successive cancelation list (SCL) decoding scheme. However, the SCL decoding scheme suffers…

Information Theory · Computer Science 2016-09-29 Mao-Ching Chiu , Wei-De Wu

We propose a belief propagation list (BPL) decoder with comparable performance to the successive cancellation list (SCL) decoder of polar codes, which already achieves the maximum likelihood (ML) bound of polar codes for sufficiently large…

Information Theory · Computer Science 2018-08-24 Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

This paper deals with two main issues regarding the short polar codes: the potential of FEC-assisted decoding and optimal code concatenation strategies under various design scenarios. Code concatenation and FEC-assisted decoding are…

Information Theory · Computer Science 2016-07-26 Mohammad Sadegh Mohammadi , Eryk Dutkiewicz , Qi Zhang

The 5th generation wireless systems (5G) standardization process of the 3rd generation partnership project (3GPP) chose polar codes as a channel coding scheme for the control channel. In case of downlink control information, polar codes are…

Information Theory · Computer Science 2020-01-28 Charles Pillet , Valerio Bioglio , Carlo Condo

Even though polar codes were adopted in the latest 5G cellular standard, they still have the fundamental problem of high decoding latency. Aiming at solving this problem, a fast simplified successive cancellation (Fast-SSC) decoder based on…

Information Theory · Computer Science 2020-08-20 Haotian Zheng , Alexios Balatsoukas-Stimming , Zizheng Cao , Ton Koonen

In this paper we propose an enhanced soft cancellation (SCAN) decoder for polar codes based on decoding stages permutation. The proposed soft cancellation list (SCANL) decoder runs $L$ independent SCAN decoders, each one relying on a…

Information Theory · Computer Science 2020-01-31 Charles Pillet , Carlo Condo , Valerio Bioglio

We show that successive cancellation list decoding can be formulated exclusively using log-likelihood ratios. In addition to numerical stability, the log-likelihood ratio based formulation has useful properties which simplify the sorting…

Information Theory · Computer Science 2016-02-15 Alexios Balatsoukas-Stimming , Mani Bastani Parizi , Andreas Burg

This paper proposes a high-throughput energy-efficient Successive Cancellation (SC) decoder architecture for polar codes based on combinational logic. The proposed combinational architecture operates at relatively low clock frequencies…

Hardware Architecture · Computer Science 2016-01-12 Onur Dizdar , Erdal Arıkan

In successive cancellation list (SCL) decoding, the tree pruning operation retains the L best paths with respect to metric at every decoding step. However, the correct path might be among the L worst paths due to imposed penalties. In this…

Information Theory · Computer Science 2020-01-30 Mohammad Rowshan , Emanuele Viterbo

Motivated by the significant performance gains which polar codes experience under successive cancellation list decoding, their scaling exponent is studied as a function of the list size. In particular, the error probability is fixed and the…

Information Theory · Computer Science 2014-09-23 Marco Mondelli , S. Hamed Hassani , Rüdiger Urbanke

In the short block length regime, pre-transformed polar codes together with successive cancellation list (SCL) decoding possess excellent error correction capabilities. However, in practice, the list size is limited due to the suboptimal…

Information Theory · Computer Science 2025-04-25 Henning Lulei , Jonathan Mandelbaum , Marvin Rübenacke , Holger Jäkel , Stephan ten Brink , Laurent Schmalen

This paper presents a hardware architecture of fast simplified successive cancellation (fast-SSC) algorithm for polar codes, which significantly reduces the decoding latency and dramatically increases the throughput. Algorithmically,…

Information Theory · Computer Science 2015-09-30 Tiben Che , Jingwei Xu , Gwan Choi

The problem of communication over binary dirty paper (DP) using nested polar codes is considered. An improved scheme, focusing on low delay, short to moderate blocklength communication is proposed. Successive cancellation list (SCL)…

Information Theory · Computer Science 2019-04-05 Barak Beilin , David Burshtein

We introduce an algorithm for approximating the codebook probability that is compatible with all successive cancellation (SC)-based decoding algorithms, including SC list (SCL) decoding. This approximation is based on an auxiliary…

Information Theory · Computer Science 2025-12-18 Peihong Yuan , Ken R. Duffy , Muriel Médard

Polar codes with memory (PCM) are proposed in this paper: a pair of consecutive code blocks containing a controlled number of mutual information bits. The shared mutual information bits of the succeeded block can help the failed block to…

Information Theory · Computer Science 2019-07-02 Wenyue Zhou , Qiang Liu , Yifei Shen , Xiaofeng Zhou , Chuan Zhang , Yaohua Xu , Liping Li

Although iterative decoding of polar codes has recently made huge progress based on the idea of permuted factor graphs, it still suffers from a non-negligible performance degradation when compared to state-of-the-art CRC-aided successive…

Information Theory · Computer Science 2020-01-20 Marvin Geiselhart , Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink