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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…

信息论 · 计算机科学 2023-08-08 Geon Choi , Namyoon Lee

We consider the problem of polar coding for transmission over $m$-user multiple access channels. In the proposed scheme, all users encode their messages using a polar encoder, while a multi-user successive cancellation decoder is deployed…

信息论 · 计算机科学 2016-11-17 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

Polar codes are a channel coding scheme for the next generation of wireless communications standard (5G). The belief propagation (BP) decoder allows for parallel decoding of polar codes, making it suitable for high throughput applications.…

信息论 · 计算机科学 2018-07-02 Nghia Doan , Seyyed Ali Hashemi , Marco Mondelli , Warren J. Gross

Row-merged polar codes are a family of pre-transformed polar codes (PTPCs) with little precoding overhead. Providing an improved distance spectrum over plain polar codes, they are capable to perform close to the finite-length capacity…

Polar codes were introduced in 2009 by Arikan as the first efficient encoding and decoding scheme that is capacity achieving for symmetric binary-input memoryless channels. Recently, this code family was extended by replacing the…

信息论 · 计算机科学 2018-05-24 Maxime Tremblay , Benjamin Bourassa , David Poulin

Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

信息论 · 计算机科学 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross

This paper presents our low-latency Polar code encoders and decoders developed for the 2025 International Symposium on Topics in Coding (ISTC 2025) contest, which challenges participants to implement the fastest possible channel code…

网络与互联网体系结构 · 计算机科学 2025-07-08 Mathieu Leonardon , Mohammed El Houcine Ayoubi , Adrien Cassagne , Romain Tajan , Camille Leroux

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…

信息论 · 计算机科学 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

A reduced complexity sequential decoding algorithm for polar (sub)codes is described. The proposed approach relies on a decomposition of the polar (sub)code being decoded into a number of outer codes, and on-demand construction of codewords…

信息论 · 计算机科学 2020-07-08 Grigorii Trofimiuk , Nikolay Iakuba , Stanislav Rets , Kirill Ivanov , Peter Trifonov

Multi-kernel polar codes have recently been proposed to construct polar codes of lengths different from powers of two. Decoder implementations for multi-kernel polar codes need to account for this feature, that becomes critical in memory…

信息论 · 计算机科学 2018-09-26 Valerio Bioglio , Carlo Condo , Ingmar Land

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

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…

信息论 · 计算机科学 2019-01-08 Berksan Serbetci , Ali Emre Pusane

Polar codes are constructed for arbitrary channels by imposing an arbitrary quasigroup structure on the input alphabet. Just as with "usual" polar codes, the block error probability under successive cancellation decoding is…

信息论 · 计算机科学 2016-06-16 Rajai Nasser , Emre Telatar

This paper presents a puncturing technique based on the channel polarization index for the design of rate-compatible polar codes in the fifth generation (5G) of wireless systems. The proposed strategy consists of two steps: we first…

信息论 · 计算机科学 2018-12-11 R. M. Oliveira , R. C. de Lamare

Deep polar codes are pre-transformed polar codes that employ a multi-layered polar kernel transformation strategy to enhance code performance in short blocklength regimes. However, like conventional polar codes, their block length is…

信息论 · 计算机科学 2025-05-13 Geon Choi , Namyoon Lee

We prove that, for all binary-input symmetric memoryless channels, polar codes enable reliable communication at rates within $\epsilon > 0$ of the Shannon capacity with a block length, construction complexity, and decoding complexity all…

信息论 · 计算机科学 2013-11-19 Venkatesan Guruswami , Patrick Xia

Polar codes were recently chosen to protect the control channel information in the next-generation mobile communication standard (5G) defined by the 3GPP. As a result, receivers will have to implement blind detection of polar coded frames…

信息论 · 计算机科学 2018-06-06 Pascal Giard , Alexios Balatsoukas-Stimming , Andreas Burg

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…

信息论 · 计算机科学 2019-01-16 Benjamin Bourassa , Maxime Tremblay , David Poulin

Polar codes are a family of capacity-achieving error-correcting codes, and they have been selected as part of the next generation wireless communication standard. Each polar code bit-channel is assigned a reliability value, used to…

信息论 · 计算机科学 2017-05-17 Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

A polar coding scheme is proposed for the Wiretap Broadcast Channel with two legitimate receivers and one eavesdropper. We consider a model in which the transmitter wishes to send different confidential (and non-confidential) information to…

信息论 · 计算机科学 2019-09-12 Jaume del Olmo , Javier R. Fonollosa