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Related papers: Fast Successive-Cancellation Decoding of Polar Cod…

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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

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 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

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 are capacity achieving error correcting codes that can be decoded through the successive-cancellation algorithm. To improve its error-correction performance, a list-based version called successive-cancellation list (SCL) has…

Information Theory · Computer Science 2017-01-30 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross

Research on polar codes has been constantly gaining attention over the last decade, by academia and industry alike, thanks to their capacity-achieving error-correction performance and low-complexity decoding algorithms. Recently, they have…

Information Theory · Computer Science 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

Non-binary polar codes (NBPCs) decoded by successive cancellation (SC) algorithm have remarkable bit-error-rate performance compared to the binary polar codes (BPCs). Due to the serial nature, SC decoding suffers from large latency. The…

Information Theory · Computer Science 2024-01-17 Ali Farsiabi , Hamid Ebrahimzad , Masoud Ardakani , Chuandong Li

This paper characterizes the latency of the simplified successive-cancellation (SSC) decoding scheme for polar codes under hardware resource constraints. In particular, when the number of processing elements $P$ that can perform SSC…

Information Theory · Computer Science 2020-12-25 Seyyed Ali Hashemi , Marco Mondelli , Arman Fazeli , Alexander Vardy , John Cioffi , Andrea Goldsmith

Polar codes are widely considered as one of the most exciting recent discoveries in channel coding. For short to moderate block lengths, their error-correction performance under list decoding can outperform that of other modern…

Signal Processing · Electrical Eng. & Systems 2018-06-06 Pascal Giard , Andreas Burg

The recently-discovered polar codes are seen as a major breakthrough in coding theory; they provably achieve the theoretical capacity of discrete memoryless channels using the low complexity successive cancellation (SC) decoding algorithm.…

Hardware Architecture · Computer Science 2015-03-19 Camille Leroux , Alexandre J. Raymond , Gabi Sarkis , Ido Tal , Alexander Vardy , Warren J. Gross

Polar codes are able to achieve the capacity of memoryless channels under successive cancellation (SC) decoding. Soft Cancellation (SCAN) is a soft-output decoder based on the SC schedule, useful in iterative decoding and concatenation of…

Information Theory · Computer Science 2020-04-09 Charles Pillet , Carlo Condo , Valerio Bioglio

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

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

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

Polar codes are a class of linear error correction codes which provably attain channel capacity with infinite codeword lengths. Finite length polar codes have been adopted into the 5th Generation 3GPP standard for New Radio, though their…

Information Theory · Computer Science 2019-02-07 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

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…

Information Theory · Computer Science 2016-11-15 Kai Chen , Kai Niu , Jia-Ru Lin

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

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

Information Theory · Computer Science 2016-11-18 Jun Lin , Chenrong Xiong , Zhiyuan Yan

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

Under successive cancellation (SC) decoding, polar codes are inferior to other codes of similar blocklength in terms of frame error rate. While more sophisticated decoding algorithms such as list- or stack-decoding partially mitigate this…

Information Theory · Computer Science 2014-12-18 Orion Afisiadis , Alexios Balatsoukas-Stimming , Andreas Burg
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