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The decoding performance of polar codes strongly depends on the decoding algorithm used, while also the decoder throughput and its latency mainly depend on the decoding algorithm. In this work, we implement the powerful successive…

信息论 · 计算机科学 2016-12-22 Sebastian Cammerer , Benedikt Leible , Matthias Stahl , Jakob Hoydis , Stephan ten Brink

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…

信息论 · 计算机科学 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…

信息论 · 计算机科学 2015-01-15 Bo Yuan , Keshab K. Parhi

Polar codes is promising because they can provably achieve the channel capacity while having an explicit construction method. Lots of work have been done for the bit-based decoding algorithm for polar codes. In this paper, generalized…

信息论 · 计算机科学 2016-11-15 Chenrong Xiong , Jun Lin , Zhiyuan Yan

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…

信息论 · 计算机科学 2023-07-07 Jinnan Piao , Dong Li , Xueting Yu , Zhibo Li , Ming Yang , Jindi Liu , Peng Zeng

Known for their capacity-achieving abilities, polar codes have been selected as the control channel coding scheme for 5G communications. To satisfy the needs of high throughput and low latency, belief propagation (BP) is chosen as the…

信号处理 · 电气工程与系统科学 2020-02-06 Chieh-Fang Teng , Kuan-Shiuan Ho , Chen-Hsi Wu , Sin-Sheng Wong , An-Yeu Wu

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…

信息论 · 计算机科学 2016-02-15 Alexios Balatsoukas-Stimming , Mani Bastani Parizi , Andreas Burg

The successive cancellation list decoder (SCL) is an efficient decoder for classical polar codes with low decoding error, approximating the maximum likelihood decoder (MLD) for small list sizes. Here we adapt the SCL to the task of decoding…

量子物理 · 物理学 2026-05-14 Anqi Gong , Joseph M. Renes

Polar codes are the first class of capacity-achieving forward error correction (FEC) codes. They have been selected as one of the coding schemes for the 5G communication systems due to their excellent error correction performance when…

信号处理 · 电气工程与系统科学 2019-05-23 ChenYang Xia , YouZhe Fan , Chi-ying Tsui

Successive cancellation (SC) process is an essential component of various decoding algorithms used for polar codes and their variants. Rewinding this process seems trivial if we have access to all intermediate log-likelihood ratios (LLRs)…

信息论 · 计算机科学 2021-09-23 Mohammad Rowshan , Emanuele Viterbo

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…

信息论 · 计算机科学 2017-08-31 Seyyed Ali Hashemi , Marco Mondelli , S. Hamed Hassani , Rudiger Urbanke , Warren J. Gross

Long polar codes can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. However, for polar codes with short and moderate code length,…

硬件体系结构 · 计算机科学 2014-11-18 Jun Lin , Zhiyuan Yan

Polar codes are the first codes with a proven capacity-achieving capability, but their decoding faces several challenges, especially under long code lengths. In this paper, we target algorithmic improvements and analyses to enable the…

信息论 · 计算机科学 2026-05-22 Jiajie Li , Sihui Shen , Warren J. Gross

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…

信息论 · 计算机科学 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Polar codes have attracted the attention of numerous researchers in the past decade due to their excellent performance. However, their performance at short block lengths under standard successive cancellation decoding is far from desirable.…

信息论 · 计算机科学 2023-07-13 Wei Zhang

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…

信息论 · 计算机科学 2016-11-17 Zhaoyang Zhang , Liang Zhang , Xianbin Wang , Caijun Zhong , H. Vincent Poor

Polar codes have attracted a lot of attention during past few years and have been adopted as a coding scheme for 5G standard. Successive-cancellation list (SCL) decoder provides high level error-correction performance for polar codes, but…

信息论 · 计算机科学 2019-04-25 Liang Ma , Hang Li , Yuejun Wei

Fast SC decoding overcomes the latency caused by the serial nature of the SC decoding by identifying new nodes in the upper levels of the SC decoding tree and implementing their fast parallel decoders. In this work, we first present a novel…

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…

信号处理 · 电气工程与系统科学 2019-05-03 ChenYang Xia , YouZhe Fan , Chi-Ying Tsui

As improved versions of successive cancellation (SC) decoding algorithm, successive cancellation list (SCL) decoding and successive cancellation stack (SCS) decoding are used to improve the finite-length performance of polar codes. Unified…

信息论 · 计算机科学 2016-11-15 Kai Chen , Kai Niu , Jia-Ru Lin