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相关论文: Design and Analysis of Polar Codes Based on Piecew…

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In this paper, we investigate the construction of polar codes by Gaussian approximation (GA) and develop an approach based on piecewise Gaussian approximation (PGA). In particular, with the piecewise approach we obtain a function that…

信息论 · 计算机科学 2021-11-23 R. M. Oliveira , R. C. de Lamare

Gaussian approximation (GA) is widely used to construct polar codes. However when the code length is long, the subchannel selection inaccuracy due to the calculation error of conventional approximate GA (AGA), which uses a two-segment…

信息论 · 计算机科学 2017-03-17 Jincheng Dai , Kai Niu , Zhongwei Si , Chao Dong , Jiaru Lin

We propose a novel scheme for rate-compatible arbitrary-length polar code construction for the additive white Gaussian noise (AWGN) channel. The proposed scheme is based on the concept of non-uniform channel polarization. The original polar…

信息论 · 计算机科学 2021-03-23 R. M. Oliveira , R. C. de Lamare

This paper focuses on an improved Gaussian approximation (GA) based construction of polar codes with successive cancellation (SC) decoding over an additive white Gaussian noise (AWGN) channel. Arikan has proven that polar codes with…

信息论 · 计算机科学 2020-10-08 Hideki Ochiai , Patrick Mitran , H. Vincent Poor

This paper revisits polar code design for a binary-input additive white Gaussian noise (BI-AWGN) channel when successive cancellation (SC) decoding is applied at the receiver. We focus on the reciprocal channel approximation (RCA), which is…

信息论 · 计算机科学 2022-04-25 Hideki Ochiai , Kosuke Ikeya , Patrick Mitran

In this paper, we present the concept of non-uniform channel polarization and a scheme for rate-compatible polar code construction for any codeword length using additive white Gaussian noise (AWGN) channels and the successive cancellation…

信息论 · 计算机科学 2019-11-19 Robert M. Oliveira , Rodrigo C. de Lamare

An efficient algorithm for the construction of polar codes for higher-order modulation is presented based on information-theoretic principles. The bit reliabilities after successive demapping are estimated using the LM-rate, an achievable…

信息论 · 计算机科学 2016-10-26 Georg Böcherer , Tobias Prinz , Peihong Yuan , Fabian Steiner

This paper presents a polarization-driven (PD) shortening technique for the design of rate-compatible polar codes. The proposed shortening strategy consists of reducing the generator matrix by relating its row index with the channel…

信息论 · 计算机科学 2018-08-02 R. M. Oliveira , R. C. de Lamare

We present a comparative study of the performance of various polar code constructions in an additive white Gaussian noise (AWGN) channel. A polar code construction is any algorithm that selects $K$ best among $N$ possible polar bit-channels…

信息论 · 计算机科学 2015-01-13 Harish Vangala , Emanuele Viterbo , Yi Hong

In this paper, we propose the explicit construction of a new class of lattices based on polar codes, which are provably good for the additive white Gaussian noise (AWGN) channel. We follow the multilevel construction of Forney \textit{et…

信息论 · 计算机科学 2013-07-05 Yanfei Yan , Cong Ling , Xiaofu Wu

In this paper, we propose a new class of lattices constructed from polar codes, namely polar lattices, to achieve the capacity $\frac{1}{2}\log(1+\SNR)$ of the additive white Gaussian-noise (AWGN) channel. Our construction follows the…

信息论 · 计算机科学 2018-10-16 Ling Liu , Yanfei Yan , Cong Ling , Xiaofu Wu

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…

信息论 · 计算机科学 2018-05-09 Yue Zhou , Rong Li , Huazi Zhang , Hejia Luo , Jun Wang

We propose a new polar code construction framework (i.e., selecting the frozen bit positions) for the additive white Gaussian noise (AWGN) channel, tailored to a given decoding algorithm, rather than based on the (not necessarily optimal)…

信息论 · 计算机科学 2019-01-23 Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

Polar codes are designed for parallel binary-input additive white Gaussian noise (BiAWGN) channels with an average power constraint. The two main design choices are: the mapping between codeword bits and channels of different quality, and…

信息论 · 计算机科学 2019-05-06 Thomas Wiegart , Tobias Prinz , Fabian Steiner , Peihong Yuan

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…

信息论 · 计算机科学 2013-04-11 Ido Tal , Alexander Vardy

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…

硬件体系结构 · 计算机科学 2015-05-20 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

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

Polarization-adjusted convolutional (PAC) codes were recently proposed and arouse the interest of the channel coding community because they were shown to approach theoretical bounds for the (128,64) code size. In this letter, we propose…

信息论 · 计算机科学 2020-11-09 Thibaud Tonnellier , Warren J. Gross

Principal component analysis (PCA) is a widely used dimension reduction technique in machine learning and multivariate statistics. To improve the interpretability of PCA, various approaches to obtain sparse principal direction loadings have…

数据结构与算法 · 计算机科学 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

Massive machine-type communications (mMTC) is one of the key application scenarios for future 5G networks. Non-orthogonal multiple access (NOMA) is a promising technique for the use in mMTC scenario. In this paper, we investigate NOMA…

信息论 · 计算机科学 2019-01-23 Evgeny Marshakov , Gleb Balitskiy , Kirill Andreev , Alexey Frolov
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