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We present in this paper a special class of unit memory convolutional codes (UMCCs), called semi-random UMCCs (SRUMCCs), where the information block is first encoded by a short block code and then transmitted in a block Markov (random)…

Information Theory · Computer Science 2020-07-27 Wenchao Lin , Suihua Cai , Baodian Wei , Xiao Ma

Successive cancellation (SC) is the first and widely known decoder of polar codes, which has received a lot of attentions recently. However, its decoding schedule generating algorithms are still primitive, which are not only complex but…

Information Theory · Computer Science 2015-05-15 Dan Le , Xiamu Niu

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

This paper focuses on low complexity successive cancellation list (SCL) decoding of polar codes. In particular, using the fact that splitting may be unnecessary when the reliability of decoding the unfrozen bit is sufficiently high, a novel…

Information Theory · Computer Science 2016-11-17 Zhaoyang Zhang , Liang Zhang , Xianbin Wang , Caijun Zhong , H. Vincent Poor

Blind recognition of polar codes remains challenging in non-cooperative scenarios, particularly for information-set recognition with known code length. Existing methods mainly rely on threshold decisions determined by the generator-matrix…

Information Theory · Computer Science 2026-05-14 Changwei Tu , Yang Liu , Xianzhao Feng , Kai Niu

Due to the sequential nature of the successive-cancellation (SC) algorithm, the decoding of polar codes suffers from significant decoding latencies. Fast SC decoding is able to speed up the SC decoding process, by implementing parallel…

Information Theory · Computer Science 2022-11-21 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

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

While long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels when decoded by a low complexity successive cancelation (SC) algorithm, the error performance of the SC algorithm is inferior for polar…

Hardware Architecture · Computer Science 2016-11-17 Jun Lin , Chenrong Xiong , Zhiyuan Yan

This paper formulates the polar-code construction problem for the successive-cancellation list (SCL) decoder as a maze-traversing game, which can be solved by reinforcement learning techniques. The proposed method provides a novel technique…

Information Theory · Computer Science 2020-09-22 Yun Liao , Seyyed Ali Hashemi , John Cioffi , Andrea Goldsmith

Polar codes asymptotically achieve the symmetric capacity of memoryless channels, yet their error-correcting performance under successive-cancellation (SC) decoding for short and moderate length codes is worse than that of other modern…

Information Theory · Computer Science 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Successive cancellation list (SCL) decoding algorithm is a powerful method that can help polar codes achieve excellent error-correcting performance. However, the current SCL algorithm and decoders are based on likelihood or log-likelihood…

Information Theory · Computer Science 2014-12-16 Bo Yuan , Keshab K. Parhi

Due to the ability to provide superior error-correction performance, the successive cancellation list (SCL) algorithm is widely regarded as one of the most promising decoding algorithms for polar codes with short-to-moderate code lengths.…

Information Theory · Computer Science 2023-11-15 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

In this paper, faulty successive cancellation decoding of polar codes for the binary erasure channel is studied. To this end, a simple erasure-based fault model is introduced to represent errors in the decoder and it is shown that, under…

Information Theory · Computer Science 2017-11-13 Alexios Balatsoukas-Stimming , Andreas Burg

Polar codes have gained significant amount of attention during the past few years and have been selected as a coding scheme for the next generation of mobile broadband standard. Among decoding schemes, successive-cancellation list (SCL)…

Information Theory · Computer Science 2017-08-31 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross

Polar codes achieve outstanding error correction performance when using successive cancellation list (SCL) decoding with cyclic redundancy check. A larger list size brings better decoding performance and is essential for practical…

Signal Processing · Electrical Eng. & Systems 2019-05-03 ChenYang Xia , YouZhe Fan , Chi-Ying Tsui

In this paper, we introduce a novel class of pre-transformed polar codes, termed as deep polar codes. We first present a deep polar encoder that harnesses a series of multi-layered polar transformations with varying sizes. Our approach to…

Information Theory · Computer Science 2023-08-08 Geon Choi , Namyoon Lee

Polar codes have attracted much attention in the past decade due to their capacity-achieving performance. The higher decoding capacity is required for 5G and beyond 5G (B5G). Although the cyclic redundancy check (CRC)- assisted successive…

Signal Processing · Electrical Eng. & Systems 2019-12-12 Chun-Hsiang Chen , Chieh-Fang Teng , An-Yeu Wu

For polar codes, successive cancellation list (SCL) decoding algorithm significantly improves finite-length performance compared to SC decoding. SCL-flip decoding can further enhance the performance but the gain diminishes as code length…

Information Theory · Computer Science 2024-07-08 Xianbin Wang , Huazi Zhang , Jiajie Tong , Jun Wang , Wen Tong

Polar codes represent one of the major recent breakthroughs in coding theory and, because of their attractive features, they have been selected for the incoming 5G standard. As such, a lot of attention has been devoted to the development of…

Information Theory · Computer Science 2017-08-31 Seyyed Ali Hashemi , Marco Mondelli , S. Hamed Hassani , Rudiger Urbanke , Warren J. Gross

Polar codes, as the first provable capacity-achieving error-correcting codes, have received much attention in recent years. However, the decoding performance of polar codes with traditional successive-cancellation (SC) algorithm cannot…

Information Theory · Computer Science 2014-09-23 Bo Yuan , Keshab K. Parhi