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Polar codes are a class of capacity-achieving codes for the binary-input discrete memoryless channels (B-DMCs). However, when applied in channels with intersymbol interference (ISI), the codes may perform poorly with BCJR equalization and…

Information Theory · Computer Science 2014-04-14 Runxin Wang , Rongke Liu , Yi Hou

Polar coding is a recently proposed coding technique that can provably achieve the channel capacity. The polar code structure, which is based on the original 2x2 generator matrix, polarises the channels, i.e., a portion of the channel…

Information Theory · Computer Science 2019-01-08 Berksan Serbetci , Ali Emre Pusane

This paper explores list decoding of convolutional and polar codes for short messages such as those found in the 5G physical broadcast channel. A cyclic redundancy check (CRC) is used to select a codeword from a list of likely codewords.…

Information Theory · Computer Science 2022-01-21 Jacob King , Alexandra Kwon , Hengjie Yang , William Ryan , Richard D. Wesel

In this paper, we propose a new class of nonbinary polar codes with two-stage polarization for ultra-reliable and low-latency communications (URLLC), where the outer (symbol-level) polarization is achieved by using a 2X2 q-ary matrix [1 0;…

Information Theory · Computer Science 2019-02-26 Peiyao Chen , Baoming Bai , Xiao Ma

A commonly assumed drawback of multi-level coding, compared to a bit-interleaved coded modulation, is its high latency: Indeed, the levels must be decoded sequentially. In this paper, we consider polar codes to code each level. We show that…

Information Theory · Computer Science 2022-06-02 Vincent Corlay

We present a rate-compatible polar coding scheme that achieves the capacity of any family of channels. Our solution generalizes the previous results [1], [2] that provide capacity-achieving rate-compatible polar codes for a degraded family…

Information Theory · Computer Science 2017-01-24 Marco Mondelli , S. Hamed Hassani , Ivana Marić , Dennis Hui , Song-Nam Hong

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…

Signal Processing · Electrical Eng. & Systems 2019-05-23 ChenYang Xia , YouZhe Fan , Chi-ying Tsui

Targeting high-throughput and low-power communications, we implement two successive cancellation (SC) decoders for polar codes. With $16nm$ ASIC technology, the area efficiency and energy efficiency are $4Tbps/mm^2$ and $0.63pJ/bit$,…

Information Theory · Computer Science 2021-07-20 Jiajie Tong , Xianbin Wang , Qifan Zhang , Huazi Zhang , Rong Li , Jun Wang , Wen Tong

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

Polar codes are a class of error-correcting codes that provably achieve the capacity of practical channels under the low-complexity successive-cancellation flip (SCF) decoding algorithm. However, the SCF decoding algorithm has a variable…

Information Theory · Computer Science 2024-09-06 Ilshat Sagitov , Charles Pillet , Pascal Giard

Progress in designing channel codes has been driven by human ingenuity and, fittingly, has been sporadic. Polar codes, developed on the foundation of Arikan's polarization kernel, represent the latest breakthrough in coding theory and have…

Information Theory · Computer Science 2024-06-06 S Ashwin Hebbar , Sravan Kumar Ankireddy , Hyeji Kim , Sewoong Oh , Pramod Viswanath

Polar codes are a new family of error correction codes for which efficient hardware architectures have to be defined for the encoder and the decoder. Polar codes are decoded using the successive cancellation decoding algorithm that includes…

Hardware Architecture · Computer Science 2015-01-12 Guillaume Berhault , Camille Leroux , Christophe Jego , Dominique Dallet

When a neural network (NN) is used to decode a polar code, its training complexity scales exponentially as the code block size (or to be precise, as a number of message bits) increases. Therefore, existing solutions that use a neural…

Information Theory · Computer Science 2022-11-10 Evgeny Stupachenko

Polar codes has been selected as the channel coding scheme for 5G new radio (NR) control channel. Specifically, a special type of parity-check polar (PC-Polar) codes was adopted in uplink control information (UCI). In this paper, we propose…

Information Theory · Computer Science 2020-07-03 Jiajie Tong , Huazi Zhang , Xianbin Wang , Shengchen Dai , Rong Li , Jun Wang

We consider the usage of finite-length polar codes for the Gaussian multiple access channel (GMAC) with a finite number of users. Based on the interleave-division multipleaccess (IDMA) concept, we implement an iterative detection and…

Information Theory · Computer Science 2020-12-04 Moustafa Ebada , Sebastian Cammerer , Ahmed Elkelesh , Marvin Geiselhart , Stephan ten Brink

In blind detection, a set of candidates has to be decoded within a strict time constraint, to identify which transmissions are directed at the user equipment. Blind detection is required by the 3GPP LTE/LTE-Advanced standard, and it will be…

Information Theory · Computer Science 2018-01-08 Carlo Condo , Seyyed Ali Hashemi , Arash Ardakani , Furkan Ercan , Warren J. Gross

Precoded polar product codes are proposed, where selected component codes enable successive cancellation list decoding to generate bit-wise soft messages efficiently for iterative decoding while targeting optimized distance spectrum as…

Information Theory · Computer Science 2024-02-13 Mustafa Cemil Coşkun

In this paper, we investigate a coupled polar code architecture that supports both local and global decoding. This local-global construction is motivated by practical applications in data storage and transmission where reduced-latency…

Information Theory · Computer Science 2023-01-09 Ziyuan Zhu , Wei Wu , Paul H. Siegel

For polar codes with short-to-medium code length, list successive cancellation decoding is used to achieve a good error-correcting performance. However, list pruning in the current list decoding is based on the sorting strategy and its…

Hardware Architecture · Computer Science 2015-11-30 YouZhe Fan , Ji Chen , ChenYang Xia , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

Polar code visibly approaches channel capacity in practice and is thereby a constituent code of the 5G standard. Compared to low-density parity-check code, however, the performance of short-length polar code has rooms for improvement that…

Information Theory · Computer Science 2022-04-26 Hsin-Po Wang , Ting-Chun Lin , Alexander Vardy , Ryan Gabrys