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Polar codes are the first class of constructive channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels. But the analysis and construction of polar codes involve the complex iterative-calculation. In…

信息论 · 计算机科学 2019-11-26 Kai Niu , Yan Li , Weiling Wu

Polar codes are an exciting new class of error correcting codes that achieve the symmetric capacity of memoryless channels. Many decoding algorithms were developed and implemented, addressing various application requirements: from…

Polar codes have been shown to approach capacity of symmetric binary erasure channels and also have low encoding and decoding complexity. Wireless channels are bursty in nature and a method to apply polar codes over wireless channels is…

信号处理 · 电气工程与系统科学 2020-02-27 Mohammed Usman

A framework for stealth communication with vanishing power (VP) is presented by studying binary symmetric channels. Coding theorems are proved by modifying Gallager's error exponents for VP and by applying resolvability exponents. The…

信息论 · 计算机科学 2020-06-17 Diego Lentner , Gerhard Kramer

Polar codes, invented by Arikan in 2009, are known to achieve the capacity of any binary-input memoryless output-symmetric channel. One of the few drawbacks of the original polar code construction is that it is not universal. This means…

信息论 · 计算机科学 2013-12-16 S. Hamed Hassani , Rudiger Urbanke

Explicit coding schemes are proposed to achieve the rate-distortion function of the Heegard-Berger problem using polar codes. Specifically, a nested polar code construction is employed to achieve the rate-distortion function for the…

信息论 · 计算机科学 2017-10-06 Jinwen Shi , Ling Liu , Deniz Gündüz , Cong Ling

Consider the Gaussian wiretap channel, where a transmitter wishes to send a confidential message to a legitimate receiver in the presence of an eavesdropper. It is well known that if the eavesdropper experiences less channel noise than the…

信息论 · 计算机科学 2026-01-29 Vidhi Rana , Remi A. Chou , Taejoon Kim

Polar codes have gained significant attention in channel coding for their ability to approach the capacity of binary input discrete memoryless channels (B-DMCs), thanks to their reliability and efficiency in transmission. However, existing…

信息论 · 计算机科学 2025-01-30 Jiaxing Li , Shuwen Zhang , Zhisong Bie

In coding schemes for the wire-tap channel or the broadcast channels with confidential messages, it is well known that the sender needs to use a stochastic encoding to avoid the information about the transmitted confidential message to be…

信息论 · 计算机科学 2012-06-01 Shun Watanabe , Yasutada Oohama

This paper presents a coding scheme for an insertion deletion substitution channel. We extend a previous scheme for the deletion channel where polar codes are modified by adding "guard bands" between segments. In the new scheme, each guard…

信息论 · 计算机科学 2021-02-04 Henry D. Pfister , Ido Tal

The fading broadcast channel with confidential messages (BCC) is investigated, where a source node has common information for two receivers (receivers 1 and 2), and has confidential information intended only for receiver 1. The confidential…

信息论 · 计算机科学 2007-07-13 Yingbin Liang , H. Vincent Poor , Shlomo Shamai

This paper considers the problem of simultaneously communicating two messages, a high-security message and a low-security message, to a legitimate receiver, referred to as the security embedding problem. An information-theoretic formulation…

信息论 · 计算机科学 2011-02-09 Hung D. Ly , Tie Liu , Yufei Blankenship

We propose a novel coupling technique for the design of polar codes of length N, making them decodable through a sliding window of size M < N. This feature allows to reduce the computational complexity of the decoder, an important…

信息论 · 计算机科学 2021-05-06 Valerio Bioglio , Carlo Condo , Ingmar Land

Monotone chain polar codes generalize classical polar codes to multivariate settings, offering a flexible approach for achieving the entire admissible rate region in the distributed lossless coding problem. However, this flexibility also…

信息论 · 计算机科学 2025-09-04 Zichang Ren , Chunhang Zheng , Dou Li , Yuping Zhao

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…

信息论 · 计算机科学 2021-08-11 Kai Niu , Yan Li

Polar codes under successive cancellation decoding proposed by Ar{\i}kan provably achieve the symmetric capacity of any given binary-input discrete memoryless channel. The successive cancellation list decoder for polar codes was described…

信息论 · 计算机科学 2017-12-14 Zhuo Li , Lijuan Xing , Ba-Zhong Shen

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…

信息论 · 计算机科学 2023-03-17 James Chin-Jen Pang , Hessam Mahdavifar , S. Sandeep Pradhan

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…

信息论 · 计算机科学 2022-06-03 Bin Li , Jiaqi Gu , Huazi Zhang

In this paper, we propose a new polar coding scheme for the unsourced, uncoordinated Gaussian random access channel. Our scheme is based on sparse spreading, treat interference as noise and successive interference cancellation (SIC). On the…

信息论 · 计算机科学 2020-07-14 Mengfan Zheng , Yongpeng Wu , Wenjun Zhang

We consider a fading wiretap channel model where the transmitter has only statistical channel state information, and the legitimate receiver and eavesdropper have perfect channel state information. We propose a sequence of non-random…

信息论 · 计算机科学 2016-11-18 Laura Luzzi , Cong Ling , Roope Vehkalahti