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In recent years, polar codes have been considered for communication systems that require high re-liability and ultra-low latency, such as sixth generation (6G) wireless communications. This paper presents simulation results showing that…

Information Theory · Computer Science 2025-01-15 Robert Morelos-Zaragoza , Jeffrey Ma

Polar codes were introduced by Arikan in 2008 and are the first family of error-correcting codes achieving the symmetric capacity of an arbitrary binary-input discrete memoryless channel under low complexity encoding and using an efficient…

Information Theory · Computer Science 2013-11-11 Abdulla Eid , Iwan Duursma

The use of multiple frequency shift keying modulation with permutation codes addresses the problem of permanent narrowband noise disturbance in a power line communications system. In this paper, we extend this coded modulation scheme based…

Information Theory · Computer Science 2013-08-27 Yeow Meng Chee , Han Mao Kiah , Punarbasu Purkayastha , Chengmin Wang

Non-orthogonal multiple access (NOMA) schemes have been proved to increase the multiple-access achievable rate with respect to orthogonal multiple access (OMA). In this paper we propose a novel communication system that combines multi-level…

Information Theory · Computer Science 2017-01-23 Beatrice Tomasi , Frédéric Gabry , Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore

A modification to 5G New Radio (NR) polar code is proposed, which improves the error correction performance with higher order modulation through probabilistic shaping. The presented scheme mainly re-uses existing hardware at the…

Information Theory · Computer Science 2018-08-29 Onurcan İşcan , Wen Xu

$2^m$-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

Polar-coded multiple-input multiple-output systems are investigated. An advanced receiver implementing joint list decoding of polar codes and QR- and MMSE-based detectors is proposed. The approximate and exact path metrics are derived for…

Information Theory · Computer Science 2025-08-29 Liudmila Karakchieva , Peter Trifonov

Polar encoding, described by Arikan in IEEE Transactions on Information Theory, Vol. 55, No. 7, July 2009, was a milestone for telecommunications. A Polar code distributes information among high and low-capacity channels, showing the…

Information Theory · Computer Science 2025-07-29 Geraldo A. Barbosa

We construct an explicit quantum coding scheme which achieves a communication rate not less than the coherent information when used to transmit quantum information over a noisy quantum channel. For Pauli and erasure channels we also present…

Quantum Physics · Physics 2015-12-10 Joseph M. Renes , David Sutter , Frédéric Dupuis , Renato Renner

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

The problem of communication over binary dirty paper (DP) using nested polar codes is considered. An improved scheme, focusing on low delay, short to moderate blocklength communication is proposed. Successive cancellation list (SCL)…

Information Theory · Computer Science 2019-04-05 Barak Beilin , David Burshtein

We introduce a novel blind (noncoherent) communication scheme, called modulation on conjugate-reciprocal zeros (MOCZ), to reliably transmit short binary packets over unknown finite impulse response systems as used, for example, to model…

Information Theory · Computer Science 2018-05-22 Philipp Walk , Peter Jung , Babak Hassibi

Precoded polar product codes are proposed, where selected component codes enable successive cancellation list decoding to generate bit-wise soft messages efficiently for iterative decoding while targeting optimized distance spectrum as…

Information Theory · Computer Science 2024-02-13 Mustafa Cemil Coşkun

Arikan has shown that systematic polar codes (SPC) outperform nonsystematic polar codes (NSPC). However, the performance gain comes at the price of elevated encoding complexity, i.e., compared to NSPC, the available encoding methods for SPC…

Information Theory · Computer Science 2016-04-28 Guo Tai Chen , Zhaoyang Zhang , Caijun Zhong , Liang Zhang

Product codes are widespread in optical communications, thanks to their high throughput and good error-correction performance. Systematic polar codes have been recently considered as component codes for product codes. In this paper, we…

Information Theory · Computer Science 2019-01-23 Valerio Bioglio , Carlo Condo , Ingmar Land

In coding theory, an error-correcting code can be encoded either systematically or non-systematically. In a systematic encode, the input data is embedded in the encoded output. Conversely, in a non-systematic code, the output does not…

Information Theory · Computer Science 2023-08-17 Mengfan Zheng

In this paper, we design explicit codes for strong coordination in two-node networks. Specifically, we consider a two-node network in which the action imposed by nature is binary and uniform, and the action to coordinate is obtained via a…

Information Theory · Computer Science 2012-10-09 Matthieu R. Bloch , Laura Luzzi , Joerg Kliewer

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

We consider lossy source compression of a binary symmetric source using polar codes and the low-complexity successive encoding algorithm. It was recently shown by Arikan that polar codes achieve the capacity of arbitrary symmetric…

Information Theory · Computer Science 2009-03-03 Satish Babu Korada , Rudiger Urbanke

We design new continuous phase modulation (CPM) formats which are based on the combination of a proper precoder with binary input and a ternary CPM. The proposed precoder constrains the signal phase evolution in order to increase the…

Information Theory · Computer Science 2016-11-17 Malek Messai , Amina Piemontese , Giulio Colavolpe , Karine Amis , Frederic Guilloud