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This paper investigates properties of polar codes that can be potentially useful in real-world applications. We start with analyzing the performance of finite-length polar codes over the binary erasure channel (BEC), while assuming belief…

Information Theory · Computer Science 2012-11-12 Ali Eslami , H. Pishro-Nik

Applications of massive machine-type communications, such as sensor networks, smart metering, 'internet-of-things', or process and factory automation, are forecast to have great economic impact in the next five to ten years. Low-complexity…

Information Theory · Computer Science 2019-02-28 Joachim Neu

Even though polar codes were adopted in the latest 5G cellular standard, they still have the fundamental problem of high decoding latency. Aiming at solving this problem, a fast simplified successive cancellation (Fast-SSC) decoder based on…

Information Theory · Computer Science 2020-08-20 Haotian Zheng , Alexios Balatsoukas-Stimming , Zizheng Cao , Ton Koonen

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…

Information Theory · Computer Science 2017-05-17 Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

Polar codes is promising because they can provably achieve the channel capacity while having an explicit construction method. Lots of work have been done for the bit-based decoding algorithm for polar codes. In this paper, generalized…

Information Theory · Computer Science 2016-11-15 Chenrong Xiong , Jun Lin , Zhiyuan Yan

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

It is shown that polar codes achieve the symmetric capacity of discrete memoryless channels with arbitrary input alphabet sizes. It is shown that in general, channel polarization happens in several, rather than only two levels so that the…

Information Theory · Computer Science 2015-03-19 Aria G. Sahebi , S. Sandeep Pradhan

As the first error correction codes provably achieving the symmetric capacity of binary-input discrete memory-less channels (B-DMCs), polar codes have been recently chosen by 3GPP for eMBB control channel. Among existing algorithms,…

Signal Processing · Electrical Eng. & Systems 2018-03-19 Huayi Zhou , Xiao Liang , Liping Li , Zaichen Zhang , Xiaohu You , Chuan Zhang

In successive cancellation (SC) polar decoding, an incorrect estimate of any prior unfrozen bit may bring about severe error propagation in the following decoding, thus it is desirable to find out and correct an error as early as possible.…

Information Theory · Computer Science 2017-12-12 Zhaoyang Zhang , Kangjian Qin , Liang Zhang , Huazi Zhang , Guo Tai Chen

Constructing efficient low-rate error-correcting codes with low-complexity encoding and decoding have become increasingly important for applications involving ultra-low-power devices such as Internet-of-Things (IoT) networks. To this end,…

Information Theory · Computer Science 2020-11-02 Fariba Abbasi , Hessam Mahdavifar , Emanuele Viterbo

A two-part successive syndrome-check decoding of polar codes is proposed with the first part successively refining the received codeword and the second part checking its syndrome. A new formulation of the successive-cancellation (SC)…

Information Theory · Computer Science 2021-12-02 Seyyed Ali Hashemi , Marco Mondelli , John Cioffi , Andrea Goldsmith

The training complexity of deep learning-based channel decoders scales exponentially with the codebook size and therefore with the number of information bits. Thus, neural network decoding (NND) is currently only feasible for very short…

Information Theory · Computer Science 2017-02-23 Sebastian Cammerer , Tobias Gruber , Jakob Hoydis , Stephan ten Brink

We consider the problem of optimally decoding a quantum error correction code -- that is to find the optimal recovery procedure given the outcomes of partial "check" measurements on the system. In general, this problem is NP-hard. However,…

Quantum Physics · Physics 2009-11-13 David Poulin

Polar codes are high density parity check codes and hence the sparse factor graph, instead of the parity check matrix, has been used to practically represent an LP polytope for LP decoding. Although LP decoding on this polytope has the…

Information Theory · Computer Science 2014-04-30 Veeresh Taranalli , Paul H. Siegel

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

We construct a new entanglement-assisted quantum polar coding scheme which achieves the symmetric coherent information rate by synthesizing "amplitude" and "phase" channels from a given, arbitrary quantum channel. We first demonstrate the…

Quantum Physics · Physics 2012-09-04 Mark M. Wilde , Joseph M. Renes

We combine two approaches to optimize the iterative decoding of product codes with precoded polar component codes. On one side, we generate bitwise soft messages based on the codebook probability, an approximation of an auxiliary quantity…

Information Theory · Computer Science 2025-08-29 Nicolás Alvarez Prado , Andreas Straßhofer

This paper presents a hardware architecture of fast simplified successive cancellation (fast-SSC) algorithm for polar codes, which significantly reduces the decoding latency and dramatically increases the throughput. Algorithmically,…

Information Theory · Computer Science 2015-09-30 Tiben Che , Jingwei Xu , Gwan Choi

Polar codes are a new class of block codes with an explicit construction that provably achieve the capacity of various communications channels, even with the low-complexity successive-cancellation (SC) decoding algorithm. Yet, the more…

We consider polar subcodes (PSCs), which are polar codes (PCs) with dynamically-frozen symbols, to increase the minimum distance as compared to corresponding PCs. A randomized nested PSC construction with a low-rate PSC and a high-rate PC,…

Information Theory · Computer Science 2020-07-30 Onur Günlü , Peter Trifonov , Muah Kim , Rafael F. Schaefer , Vladimir Sidorenko
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