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Related papers: Rate-Compatible Polar Codes for Wireless Channels

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Polarization-adjusted convolutional (PAC) codes, as a concatenated coding scheme based on polar codes, is able to approach the finite-length bound of binary-input AWGN channel at short blocklengths. In this paper, we extend PAC codes to the…

Information Theory · Computer Science 2023-08-11 Mengfan Zheng , Cong Ling

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

This paper focuses on studying the fundamental performance limits and linear dispersion code design for the MIMO-ARQ slow fading channel. Optimal average rate of well-known HARQ protocols is analyzed. The optimal design of space-time coding…

Information Theory · Computer Science 2009-05-27 Cong Shen , Michael P. Fitz

Polar codes are the first proven capacity-achieving codes. Recently, they are adopted as the channel coding scheme for 5G due to their superior performance.A polar code for encoding length-K information bits in length-N codeword could be…

Information Theory · Computer Science 2018-05-09 Yue Zhou , Rong Li , Huazi Zhang , Hejia Luo , Jun Wang

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

In this paper, we first propose an universal polar coding scheme for parallel Gaussian channels with non-binary inputs. It is assumed that the encoder knows only the sum capacity of M parallel channels instead of the capacity of any single…

Information Theory · Computer Science 2022-06-03 Bin Li , Jiaqi Gu , Huazi Zhang

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

We propose a generalized construction for binary polar codes based on mixing multiple kernels of different sizes in order to construct polar codes of block lengths that are not only powers of integers. This results in a multi kernel polar…

Information Theory · Computer Science 2017-03-13 Frederic Gabry , Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore

Energy efficiency of three common hybrid automatic repeat request (HARQ) schemes including Type I HARQ, HARQ with chase combining (HARQ-CC) and HARQ with incremental redundancy (HARQ-IR), is analyzed and joint power allocation and rate…

Information Theory · Computer Science 2022-09-29 Zheng Shi , Shaodan Ma , Guanghua Yang , Mohamed-Slim Alouini

The IEEE 802.16 technology (WiMAX) is a promising technology for providing last-mile connectivity by radio link due to its high speed data rates, low cost of deployment, and large coverage area. However, the maximum number of channels…

Networking and Internet Architecture · Computer Science 2010-05-28 Iwan Adhicandra

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

In 2008 Arikan proposed polar coding [arXiv:0807.3917] which we summarize as follows: (a) From the root channel $W$ synthesize recursively a series of channels $W_N^{(1)},\dotsc,W_N^{(N)}$. (b) Select sophisticatedly a subset $A$ of…

Information Theory · Computer Science 2018-06-08 Hsin-Po Wang , Iwan Duursma

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

Information Theory · Computer Science 2013-02-01 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

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

Polar codes have attracted much recent attention as the first codes with low computational complexity that provably achieve optimal rate-regions for a large class of information-theoretic problems. One significant drawback, however, is that…

Information Theory · Computer Science 2010-01-15 Mayank Bakshi , Sidharth Jaggi , Michelle Effros

Polar codes are of great interests because they provably achieve the capacity of both discrete and continuous memoryless channels while having an explicit construction. Most existing decoding algorithms of polar codes are based on bit-wise…

Information Theory · Computer Science 2016-01-20 Chenrong Xiong , Jun Lin , Zhiyuan Yan

Due to the advantage of capacity-achieving, polar codes have been extended to the block fading channel whereas most constructions involve complex iterative-calculation. In this paper, we establish a systematic framework to analyze the error…

Information Theory · Computer Science 2021-08-11 Kai Niu , Yan Li

A novel structure of polar codes is proposed for finite-state modulation (FSM), in order to improve polarization under it, and approach the polarization efficiency that conventional polar codes achieve under memoryless channels. We choose a…

Information Theory · Computer Science 2025-07-08 Yinuo Mei , Yangyong Zhang , Daiming Qu

Existing polar coding schemes for the two-user interference channel follow the original idea of Han and Kobayashi, in which component messages are encoded independently and then mapped by some deterministic functions (i.e., homogeneous…

Information Theory · Computer Science 2018-07-03 Mengfan Zheng , Cong Ling , Wen Chen , Meixia Tao

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.…

Information Theory · Computer Science 2018-07-02 Nghia Doan , Seyyed Ali Hashemi , Marco Mondelli , Warren J. Gross