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With the evolution from 5G to 6G, ultra-reliable low-latency communication (URLLC) faces increasingly stringent performance requirements. Lower latency constraints demand shorter channel coding lengths, which can severely degrade decoding…

Information Theory · Computer Science 2025-08-07 Yaqi Li , Xiaohu You , Jiamin Li , Chen Ji , Bin Sheng

A low-complexity soft-decision concatenated FEC scheme, consisting of an inner LDPC code and an outer staircase code is proposed. The inner code is tasked with reducing the bit error probability below the outer-code threshold. The…

Information Theory · Computer Science 2018-09-25 Masoud Barakatain , Frank R. Kschischang

A polar coding scheme for fading channels is proposed in this paper. More specifically, the focus is Gaussian fading channel with a BPSK modulation technique, where the equivalent channel could be modeled as a binary symmetric channel with…

Information Theory · Computer Science 2013-04-16 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

Polar codes provably achieve the symmetric capacity of a memoryless channel while having an explicit construction. This work aims to increase the throughput of polar decoder hardware by an order of magnitude relative to the state of the art…

Hardware Architecture · Computer Science 2015-05-20 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

The problem of polar coding for an arbitrary sequence of independent binary-input memoryless symmetric (BMS) channels $\left\{W_i\right\}_{i=1}^{N}$ is considered. The sequence of channels is assumed to be completely known to both the…

Information Theory · Computer Science 2020-08-27 Hessam Mahdavifar

A scheme for concatenating the recently invented polar codes with non-binary MDS codes, as Reed-Solomon codes, is considered. By concatenating binary polar codes with interleaved Reed-Solomon codes, we prove that the proposed concatenation…

Information Theory · Computer Science 2016-11-17 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

Polar coding was conceived originally as a technique for boosting the cutoff rate of sequential decoding, along the lines of earlier schemes of Pinsker and Massey. The key idea in boosting the cutoff rate is to take a vector channel (either…

Information Theory · Computer Science 2015-11-17 Erdal Arıkan

Polar codes are a new class of error correcting linear block codes, whose generator matrix is specified by the knowledge of transmission channel parameters, code length and code dimension. Moreover, regarding computational security, it is…

Cryptography and Security · Computer Science 2014-01-08 Reza Hooshmand

In this paper, we propose a comprehensive Polar coding solution that integrates reliability calculation, rate matching and parity-check coding. Judging a channel coding design from the industry's viewpoint, there are two primary concerns:…

Information Theory · Computer Science 2018-01-12 Huazi Zhang , Rong Li , Jian Wang , Shengchen Dai , Gongzheng Zhang , Ying Chen , Hejia Luo , Jun Wang

Polar codes are a family of capacity-achieving codes that have explicit and low-complexity construction, encoding, and decoding algorithms. Decoding of polar codes is based on the successive-cancellation decoder, which decodes in a bit-…

Information Theory · Computer Science 2018-03-06 Boaz Shuval , Ido Tal

We construct an explicit quantum coding scheme which achieves a communication rate not less than the coherent information when used to transmit quantum information over a noisy quantum channel. For Pauli and erasure channels we also present…

Quantum Physics · Physics 2015-12-10 Joseph M. Renes , David Sutter , Frédéric Dupuis , Renato Renner

Over the past decade, polar codes have received significant traction and have been selected as the coding method for the control channel in fifth-generation (5G) wireless communication systems. However, conventional polar codes are reliant…

Information Theory · Computer Science 2023-05-09 Hossein Rezaei , Elham Abbasi , Nandana Rajatheva , Matti Latva-aho

Polar codes have gained extensive attention during the past few years and recently they have been selected for the next generation of wireless communications standards (5G). Successive-cancellation-based (SC-based) decoders, such as SC list…

Information Theory · Computer Science 2020-01-08 Seyyed Ali Hashemi , Carlo Condo , Marco Mondelli , Warren J. Gross

A challenging problem related to the design of polar codes is "robustness against channel parameter variations" as stated in Ar{\i}kan's original work. In this paper, we describe how the problem of robust polar code design can be viewed as…

Information Theory · Computer Science 2013-05-15 Mine Alsan

A long-standing vision of backscatter communications is to provide long-range connectivity and high-speed transmissions for batteryless Internet-of-Things (IoT). Recent years have seen major innovations in designing backscatters toward this…

Networking and Internet Architecture · Computer Science 2019-12-19 Guochao Song , Hang Yang , Wei Wang , Tao Jiang

-We develop a polar coding scheme for empirical coordination in a two-node network with a noisy link in which the input and output signals have to be coordinated with the source and the reconstruction. In the case of non-causal encoding and…

Information Theory · Computer Science 2016-09-22 Giulia Cervia , Laura Luzzi , Matthieu Bloch , Maël Le Treust

Explicit coding schemes are proposed to achieve the rate-distortion function of the Heegard-Berger problem using polar codes. Specifically, a nested polar code construction is employed to achieve the rate-distortion function for the…

Information Theory · Computer Science 2017-10-06 Jinwen Shi , Ling Liu , Deniz Gündüz , Cong Ling

Arikan's recursive code construction is designed to polarize a collection of memoryless channels into a set of good and a set of bad channels, and it can be efficiently decoded using successive cancellation. It was recently shown that the…

Information Theory · Computer Science 2019-01-16 Benjamin Bourassa , Maxime Tremblay , David Poulin

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

A method for efficiently constructing polar codes is presented and analyzed. Although polar codes are explicitly defined, straightforward construction is intractable since the resulting polar bit-channels have an output alphabet that grows…

Information Theory · Computer Science 2013-04-11 Ido Tal , Alexander Vardy
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