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A practical rate-matching system for constructing rate-compatible polar codes is proposed. The proposed polar code circular buffer rate-matching is suitable for transmissions on communication channels that support hybrid automatic repeat…

Information Theory · Computer Science 2017-11-15 Mostafa El-Khamy , Hsien-Ping Lin , Jungwon Lee , Inyup Kang

Constellation shaping is an energy-efficient strategy involving the transmission of lower-energy signals more frequently than higher-energy signals. Previous work has shown that shaping is particularly effective when used with coded…

Information Theory · Computer Science 2012-10-18 Xingyu Xiang , Matthew C. Valenti

With the evolution from 5G to 6G, ultra-reliable low-latency communication (URLLC) faces increasingly stringent performance requirements. Lower latency constraints demand shorter channel coding lengths, which can severely degrade decoding…

Information Theory · Computer Science 2025-08-07 Yaqi Li , Xiaohu You , Jiamin Li , Chen Ji , Bin Sheng

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

Polar codes are a class of linear block codes that provably achieves channel capacity. They have been selected as a coding scheme for the control channel of enhanced mobile broadband (eMBB) scenario for $5^{\text{th}}$ generation wireless…

Hardware Architecture · Computer Science 2020-06-04 Furkan Ercan , Thibaud Tonnellier , Carlo Condo , Warren J. Gross

Kudekar et al. proved that the belief-propagation (BP) threshold for low-density parity-check codes can be boosted up to the maximum-a-posteriori (MAP) threshold by spatial coupling. In this paper, spatial coupling is applied to…

Information Theory · Computer Science 2011-04-21 Keigo Takeuchi , Toshiyuki Tanaka , Tsutomu Kawabata

In this paper, a new four-dimensional 64-ary polarization ring switching (4D-64PRS) modulation format with a spectral efficiency of 6 bit/4D-sym is introduced. The format is designed by maximizing the generalized mutual information (GMI)…

Signal Processing · Electrical Eng. & Systems 2019-06-07 Bin Chen , Chigo Okonkwo , Hartmut Hafermann , Alex Alvarado

This paper investigates universal polar coding schemes. In particular, a notion of ordering (called convolutional path) is introduced between probability distributions to determine when a polar compression (or communication) scheme designed…

Information Theory · Computer Science 2010-12-03 Emmanuel Abbe

We demonstrate a polarization-managed 8-dimensional modulation format that is time domain coded to reduce inter-channel nonlinearity. Simulation results show a 2.33 dB improvement in maximum net system margin (NSM) relative to polarization…

We explore the relationship between polar and RM codes and we describe a coding scheme which improves upon the performance of the standard polar code at practical block lengths. Our starting point is the experimental observation that RM…

Information Theory · Computer Science 2014-09-04 Marco Mondelli , S. Hamed Hassani , Rüdiger Urbanke

This paper proposes the design of polar and convolutional coset codes for the unequal message protection (UMP) in the short blocklength regime, to overcome the rate loss introduced by preamble-based solutions. After providing conditions to…

Information Theory · Computer Science 2026-04-21 Alexander Sauter , Riccardo Schiavone , Lucía Balsa Picado , Gianluigi Liva

In this paper, we shed light on how an adaptive, efficient error coding in the transport layer helps ensure the application requirements. We recap the use of MDS codes and show that binary coding can significantly reduce the complexity and…

Information Theory · Computer Science 2022-02-22 Pablo Gil Pereira , Thorsten Herfet

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

We introduce a pixel space method to detect dipole modulation or hemispherical power asymmetry in the cosmic microwave background (CMB) polarization. The method relies on the use of squared total polarized flux whose ensemble average picks…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Shamik Ghosh , Pankaj Jain

In this paper, we propose a novel high dimensional constellation design scheme for visible light communication (VLC) systems employing red/green/blue light emitting diodes (RGB LEDs). It is in fact a generalized color shift keying (CSK)…

Information Theory · Computer Science 2014-10-23 Qian Gao , Chen Gong , Rui Wang , Zhengyuan Xu , Yingbo Hua

The optimal bit-wise demodulator for M-ary pulse amplitude modulation (PAM) over the additive white Gaussian noise channel is analyzed in terms of uncoded bit-error rate (BER). New closed-form BER expressions for 4-PAM with any labeling are…

Information Theory · Computer Science 2015-01-07 Mikhail Ivanov , Fredrik Brannstrom , Alex Alvarado , Erik Agrell

We study the performance of binary spatially-coupled low-density parity-check codes (SC-LDPC) when used with bit-interleaved coded-modulation (BICM) schemes. This paper considers the cases when transmission takes place over additive white…

Information Theory · Computer Science 2013-03-05 Arvind Yedla , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

Multidimensional Voronoi constellations (VCs) are shown to be more power-efficient than quadrature amplitude modulation (QAM) formats given the same uncoded bit error rate, and also have higher achievable information rates. However, a coded…

Information Theory · Computer Science 2023-08-02 S. Li , A. Mirani , M. Karlsson , E. Agrell

Sphere decoding (SD) of polar codes is an efficient method to achieve the error performance of maximum likelihood (ML) decoding. But the complexity of the conventional sphere decoder is still high, where the candidates in a target sphere…

Information Theory · Computer Science 2013-08-14 Kai Niu , Kai Chen , Jiaru Lin

An efficient scheme to increase the performance of polar codes at short and moderate block lengths is a concatenation of CRC code and a polar code. In order to obtain better result of the concatenation, a CRC code with best error control…

Information Theory · Computer Science 2019-12-17 Tsonka Baicheva , Peter Kazakov