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We consider the joint design of polar coding and higher-order modulation schemes for ever increased spectral efficiency. The close connection between the polar code construction and the multi-level coding approach is described in detail.…

Information Theory · Computer Science 2012-11-30 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

The design of block codes for short information blocks (e.g., a thousand or less information bits) is an open research problem which is gaining relevance thanks to emerging applications in wireless communication networks. In this work, we…

Information Theory · Computer Science 2016-10-05 Gianluigi Liva , Lorenzo Gaudio , Tudor Ninacs , Thomas Jerkovits

Polar codes were introduced in 2009 and proven to achieve the symmetric capacity of any binary-input discrete memoryless channel under low-complexity successive cancellation decoding. In this thesis, we construct cyclic polar codes based on…

Information Theory · Computer Science 2020-04-16 Narayanan Rengaswamy

In this paper, code decompositions (a.k.a. code nestings) are used to design binary polarization kernels. The proposed kernels are in general non-linear. They provide a better polarization exponent than the previously known kernels of the…

Information Theory · Computer Science 2015-03-09 Noam Presman , Ofer Shapira , Simon Litsyn , Tuvi Etzion , Alexander Vardy

Improved bounds on the blocklength required to communicate over binary-input channels using polar codes, below some given error probability, are derived. For that purpose, an improved bound on the number of non-polarizing channels is…

Information Theory · Computer Science 2013-07-23 Dina Goldin , David Burshtein

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…

Information Theory · Computer Science 2019-05-06 Thomas Wiegart , Tobias Prinz , Fabian Steiner , Peihong Yuan

A design of rate-compatible polar codes suitable for HARQ communications is proposed in this paper. An important feature of the proposed design is that the puncturing order is chosen with low complexity on a base code of short length, which…

Information Theory · Computer Science 2015-09-01 Mostafa El-Khamy , Hsien-Ping Lin , Jungwon Lee , Hessam Mahdavifar , Inyup Kang

The next generation of wireless communications systems will employ new frequency bands such as those in the upper midband, millimeter-wave and sub-terahertz frequency bands. The high energy consumption of analog-to-digital converters…

Information Theory · Computer Science 2025-05-27 D. Melo , L. Landau , R. de Lamare

A generalization of the polar coding scheme called mixed-kernels is introduced. This generalization exploits several homogeneous kernels over alphabets of different sizes. An asymptotic analysis of the proposed scheme shows that its…

Information Theory · Computer Science 2015-03-25 Noam Presman , Ofer Shapira , Simon Litsyn

For short-packet, low-latency communications over random access channels, piloting overhead significantly reduces spectral efficiency. Therefore, pilotless systems recently gained attraction. While blind phase estimation algorithms such as…

Information Theory · Computer Science 2023-05-04 Marvin Geiselhart , Marc Gauger , Felix Krieg , Jannis Clausius , Stephan ten Brink

We discuss the application of coded modulation for power-line communications. We combine M-ary FSK with diversity and coding to make the transmission robust against permanent frequency disturbances and impulse noise. We give a particular…

Information Theory · Computer Science 2011-04-11 A. J. Han Vinck

An efficient analog network coding transmission protocol is proposed in this letter for a MIMO two way cellular network. Block signal alignment is first proposed to null the inter-user interference for multi-antenna users, which makes the…

Information Theory · Computer Science 2013-08-19 Ming Gan , Zhiguo Ding , Xuchu Dai

Given a real dataset and a computation family, we wish to encode and store the dataset in a distributed system so that any computation from the family can be performed by accessing a small number of nodes. In this work, we focus on the…

Information Theory · Computer Science 2024-05-10 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

Polar codes are constructed based on the reliability of sub-channels resulting from the polarization effect. However, this information-theoretic construction approach leads to a poor weight distribution. To address this issue,…

Information Theory · Computer Science 2025-06-19 Mohammad Rowshan , Vlad-Florin Dragoi

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…

Information Theory · Computer Science 2021-05-06 Valerio Bioglio , Carlo Condo , Ingmar Land

Recently, a novel lookup table based decoding method for binary low-density parity-check codes has attracted considerable attention. In this approach, mutual-information maximizing lookup tables replace the conventional operations of the…

Information Theory · Computer Science 2019-10-24 Maximilian Stark , Jan Lewandowsky , Souradip Saha , Gerhard Bauch

A polar-coded modulation scheme for deep-space optical communication is proposed. The photon counting Poisson channel with pulse position modulation (PPM) is considered. We use the fact that PPM is particularly well suited to be used with…

Information Theory · Computer Science 2018-12-10 Delcho Donev , Georg Böcherer

A new variant of bit interleaved coded modulation (BICM) is proposed. In the new scheme, called Parallel BICM, L identical binary codes are used in parallel using a mapper, a newly proposed finite-length interleaver and a binary dither…

Information Theory · Computer Science 2010-08-18 Amir Ingber , Meir Feder

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

In this work, we investigate the performance of polar codes with the assistance of feedback in communication systems. Although it is well known that feedback does not improve the capacity of memoryless channels, we show that the finite…

Information Theory · Computer Science 2026-04-13 Ling Liu , Qi Cao , Liping Li , Baoming Bai
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