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A new polar coding scheme for higher order modulation is presented. The proposed scheme is based on multi-level coding (MLC) with natural labeling, where the bit-level corresponding to the sign-bit is generated in dependence on the previous…

Information Theory · Computer Science 2019-10-30 Onurcan İşcan , Ronald Böhnke , Wen Xu

Multilevel coding (MLC) is a coded modulation technique which can achieve excellent performance over a range of communication channels. Polar codes have been shown to be quite compatible with communication systems using MLC, as the rate…

Information Theory · Computer Science 2021-04-21 Muhammad Zaeem Hasan , Nemanja Stefan Perović , Mark F. Flanagan

A framework is proposed that allows for a joint description and optimization of both binary polar coding and the multilevel coding (MLC) approach for $2^m$-ary digital pulse-amplitude modulation (PAM). The conceptual equivalence of polar…

Information Theory · Computer Science 2016-11-17 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

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

A multilevel coded modulation scheme is studied that uses solely binary polar codes and Honda-Yamamoto probabilistic shaping. The scheme is shown to achieve the capacity of discrete memoryless channels with input alphabets of cardinality a…

Information Theory · Computer Science 2022-08-11 Constantin Runge , Thomas Wiegart , Diego Lentner , Tobias Prinz

We consider explicit constructions of multi-level lattice codes that universally approach the capacity of the compound block-fading channel. Specifically, building on algebraic partitions of lattices, we show how to construct codes with…

Information Theory · Computer Science 2017-05-09 Antonio Campello , Ling Liu , Cong Ling

A capacity-achieving scheme based on polar codes is proposed for reliable communication over multi-channels which can be directly applied to bit-interleaved coded modulation schemes. We start by reviewing the ground-breaking work of polar…

Information Theory · Computer Science 2013-02-04 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

$2^m$-ary modulation creates $m$ bit channels which are neither independent nor identical, and this causes problems when applying polar coding because polar codes are designed for independent identical channels. Different from the existing…

Information Theory · Computer Science 2020-07-13 Kangjian Qin , Zhaoyang Zhang

A framework is proposed that allows for a joint description and optimization of both binary polar coding and $2^m$-ary digital pulse-amplitude modulation (PAM) schemes such as multilevel coding (MLC) and bit-interleaved coded modulation…

Information Theory · Computer Science 2013-02-13 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

A wiretap channel is served as the fundamental model of physical layer security techniques, where the secrecy capacity of the Gaussian wiretap channel is proven to be achieved by Gaussian input. However, there remains a gap between the…

Information Theory · Computer Science 2024-11-12 Li Shen , Yongpeng Wu , Peihong Yuan , Chengshan Xiao , Xiang-Gen Xia , Wenjun Zhang

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

Different polar coding schemes are proposed for the memoryless degraded broadcast channel under different reliability and secrecy requirements: layered decoding and/or layered secrecy. In this setting, the transmitter wishes to send…

Information Theory · Computer Science 2018-06-19 Jaume del Olmo , Javier R. Fonollosa

We consider the problem of using polar codes with higher order modulation over AWGN channels. Unlike prior work, we focus on using modulation independent polar codes. That is, the polar codes are not re-designed based on the modulation…

Information Theory · Computer Science 2016-10-03 Saurabha R Tavildar

We consider achieving the rates in the capacity region of a multi-level 3-receiver broadcast channel, in which the second receiver is degraded with respect to the first receiver, with degraded message sets. We propose a two-level chaining…

Information Theory · Computer Science 2020-10-15 Karthik Nagarjuna Tunuguntla , Paul H. Siegel

We develop a low-complexity coding scheme to achieve covert communications over binary-input discrete memoryless channels (BI-DMCs). We circumvent the impossibility of covert communication with linear codes by introducing non-linearity…

Information Theory · Computer Science 2018-11-27 Ishaque Ashar Kadampot , Mehrdad Tahmasbi , Matthieu R Bloch

The polar codes are proven to be capacity-achieving and are shown to have equivalent or even better finite-length performance than the turbo/LDPC codes under some improved decoding algorithms over the additive white Gaussian noise (AWGN)…

Information Theory · Computer Science 2014-05-20 Kai Chen , Kai Niu , Jiaru Lin

In this paper, we design polar codes and polar lattices for i.i.d. fading channels when the channel state information is only available to the receiver. For the binary input case, we propose a new design of polar codes through single-stage…

Information Theory · Computer Science 2016-02-08 Ling Liu , Cong Ling

We consider coding schemes for channels with non-uniform inputs (NUI), where standard linear block codes can not be applied directly. We show that multilevel coding (MLC) with a set of linear codes and a deterministic mapper can achieve the…

Information Theory · Computer Science 2007-07-13 Jing Jiang , Krishna R. Narayanan

Recently, a new class of error-control codes, the polar codes, have attracted much attention. The polar codes are the first known class of capacity-achieving codes for many important communication channels. In addition, polar codes have…

Information Theory · Computer Science 2012-11-19 Xudong Ma

A modified successive cancellation list (SCL) decoder is proposed for polar-coded probabilistic shaping. The decoder exploits the deterministic encoding rule for shaping bits to rule out candidate code words that the encoder would not…

Information Theory · Computer Science 2023-10-25 Constantin Runge , Thomas Wiegart , Diego Lentner
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