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A capacity-achieving scheme based on polar codes is proposed for reliable communication over multi-channels which can be directly applied to bit-interleaved coded modulation schemes. We start by reviewing the ground-breaking work of polar…

Information Theory · Computer Science 2013-02-04 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

We propose a unitary precoding scheme, namely polar-precoding, to improve the performance of polar-coded MIMO systems. In contrast to the traditional design of MIMO precoding criteria, the proposed polar-precoding scheme relies on the…

Information Theory · Computer Science 2021-09-15 Jinnan Piao , Kai Niu , Jincheng Dai , Lajos Hanzo

The polar codes are proven to be capacity-achieving and are shown to have equivalent or even better finite-length performance than the turbo/LDPC codes under some improved decoding algorithms over the additive white Gaussian noise (AWGN)…

Information Theory · Computer Science 2014-05-20 Kai Chen , Kai Niu , Jiaru Lin

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

Single-Radio-Frequency (RF) Multiple-Input-Multiple-Output (MIMO) systems such as the spatial modulation (SM) system and the space shift keying (SSK) system have been proposed to pursue a high spectral efficiency while keeping a low cost…

Information Theory · Computer Science 2021-10-22 Jiliang Zhang , Yang Wang , Jie Zhang , Liqin Ding

The construction of polar codes with code length $n=2^m$ involves $m$ layers of polar transforms. In this paper, we observe that after each layer of polar transforms, one can swap certain pairs of adjacent bits to accelerate the…

Information Theory · Computer Science 2023-07-24 Guodong Li , Min Ye , Sihuang Hu

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…

Information Theory · Computer Science 2025-05-13 Geon Choi , Namyoon Lee

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 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

In this paper, we introduce a new coding and decoding structure for enhancing the reliability and performance of polar codes, specifically at low error rates. We achieve this by concatenating two polar codes in series to create robust…

Information Theory · Computer Science 2023-11-07 Mohammed Mensouri , Mustapha Eddahibi

Recently, a new class of error-control codes, the polar codes, have attracted much attention. The polar codes are the first known class of capacity-achieving codes for many important communication channels. In addition, polar codes have…

Information Theory · Computer Science 2012-11-19 Xudong Ma

Bit-interleaved coded modulation (BICM) and multilevel coded modulation (MLC) are commonly used to combine polar codes with high order modulation. While BICM benefits from simple design and the separation of coding and modulation, MLC shows…

Information Theory · Computer Science 2022-02-16 Hanwen Yao , Jinfeng Du , Alexander Vardy

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

A framework is proposed that allows for a joint description and optimization of both binary polar coding and $2^m$-ary digital pulse-amplitude modulation (PAM) schemes such as multilevel coding (MLC) and bit-interleaved coded modulation…

Information Theory · Computer Science 2013-02-13 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

Reed Muller (RM) codes are known for their good minimum distance. One can use their structure to construct polar-like codes with good distance properties by choosing the information set as the rows of the polarization matrix with the…

Information Theory · Computer Science 2022-04-15 Samet Gelincik , Philippe Mary , Anne Savard , Jean-Yves Baudais

This work presents a polar coding scheme for fading channels, focusing primarily on fading binary symmetric and additive exponential noise channels. For fading binary symmetric channels, a hierarchical coding scheme is presented, utilizing…

Information Theory · Computer Science 2014-08-19 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

We consider the problem of using polar codes with higher order modulation over AWGN channels. Unlike prior work, we focus on using modulation independent polar codes. That is, the polar codes are not re-designed based on the modulation…

Information Theory · Computer Science 2016-10-03 Saurabha R Tavildar

Polar codes are a class of capacity-achieving error correcting codes that have been selected for use in enhanced mobile broadband in the 3GPP 5th generation (5G) wireless standard. Most polar code research examines the original Arikan polar…

Information Theory · Computer Science 2019-07-17 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

A practical rate-matching system for constructing rate-compatible polar codes is proposed. The proposed polar code circular buffer rate-matching is suitable for transmissions on communication channels that support hybrid automatic repeat…

Information Theory · Computer Science 2017-11-15 Mostafa El-Khamy , Hsien-Ping Lin , Jungwon Lee , Inyup Kang

In this paper, we leverage polar codes and the well-established channel polarization to design capacity-achieving codes with a certain constraint on the weights of all the columns in the generator matrix (GM) while having a low-complexity…

Information Theory · Computer Science 2023-03-17 James Chin-Jen Pang , Hessam Mahdavifar , S. Sandeep Pradhan
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