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In this paper, we propose a Polar coding scheme for parallel Gaussian channels. The encoder knows the sum rate of the parallel channels but does not know the rate of any channel. By using the nesting property of Polar code, we design a…

Information Theory · Computer Science 2017-05-23 David Tse , Bin Li , Kai Chen

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

Polar codes are a class of capacity-achieving error correcting codes that have been selected for use in enhanced mobile broadband in the 3GPP 5th generation (5G) wireless standard. Most polar code research examines the original Arikan polar…

Information Theory · Computer Science 2019-07-17 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

A pragmatic coded modulation system is presented that incorporates signal shaping and exploits the excellent performance and efficient high-speed decoding architecture of staircase codes. Reliable communication within 0.62 bits/s/Hz of the…

Information Theory · Computer Science 2015-06-03 Benjamin P. Smith , Frank R. Kschischang

Polar codes have been selected as the channel coding scheme for control channel in the fifth generation (5G) communication system thanks to their capacity achieving characteristics. However, the traditional polar codes support only codes…

Information Theory · Computer Science 2023-05-16 Hossein Rezaei , Nandana Rajatheva , Matti Latva-aho

An efficient algorithm for the construction of polar codes for higher-order modulation is presented based on information-theoretic principles. The bit reliabilities after successive demapping are estimated using the LM-rate, an achievable…

Information Theory · Computer Science 2016-10-26 Georg Böcherer , Tobias Prinz , Peihong Yuan , Fabian Steiner

It is known that polar codes can be efficiently constructed for binary-input channels. At the same time, existing algorithms for general input alphabets are less practical because of high complexity. We address the construction problem for…

Information Theory · Computer Science 2017-10-03 Talha Cihad Gulcu , Min Ye , Alexander Barg

We present a rate-compatible polar coding scheme that achieves the capacity of any family of channels. Our solution generalizes the previous results [1], [2] that provide capacity-achieving rate-compatible polar codes for a degraded family…

Information Theory · Computer Science 2017-01-24 Marco Mondelli , S. Hamed Hassani , Ivana Marić , Dennis Hui , Song-Nam Hong

Scalar quantization and probabilistic shaping are applied to the distributed source coding of Gaussian sources, with mean-square error distortion. A coding scheme with a modulo interval, dithering, and truncated Gaussian shaping is shown to…

Information Theory · Computer Science 2026-04-21 Muhammed Yusuf Sener , Gerhard Kramer , Shlomo Shamai , Ronald Böhnke , Wen Xu

Progress in designing channel codes has been driven by human ingenuity and, fittingly, has been sporadic. Polar codes, developed on the foundation of Arikan's polarization kernel, represent the latest breakthrough in coding theory and have…

Information Theory · Computer Science 2024-06-06 S Ashwin Hebbar , Sravan Kumar Ankireddy , Hyeji Kim , Sewoong Oh , Pramod Viswanath

In this paper, we design and compare multilevel polar coding (MLPC) and bit-interleaved polar coded modulation (BIPCM) for uplink sparse code multiple access (SCMA) systems that operate over fast and block fading channels. Both successive…

Information Theory · Computer Science 2017-07-05 Monirosharieh Vameghestahbanati , Ian Marsland , Ramy H. Gohary , Halim Yanikomeroglu

It is shown that polar coding schemes achieve the known achievable rate regions for several multi-terminal communications problems including lossy distributed source coding, multiple access channels and multiple descriptions coding. The…

Information Theory · Computer Science 2014-04-29 Aria G. Sahebi , S. Sandeep Pradhan

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

We design polar codes for empirical coordination and strong coordination in two-node networks. Our constructions hinge on the fact that polar codes enable explicit low-complexity schemes for soft covering. We leverage this property to…

Information Theory · Computer Science 2018-06-08 Remi A. Chou , Matthieu Bloch , Joerg Kliewer

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

While constructing polar codes for successive-cancellation decoding can be implemented efficiently by sorting the bit-channels, finding optimal polar codes for cyclic-redundancy-check-aided successive-cancellation list (CA-SCL) decoding in…

Information Theory · Computer Science 2023-05-16 Yun Liao , Seyyed Ali Hashemi , Hengjie Yang , John M. Cioffi

Channel polarization is a phenomenon in which a particular recursive encoding induces a set of synthesized channels from many instances of a memoryless channel, such that a fraction of the synthesized channels becomes near perfect for data…

Quantum Physics · Physics 2013-06-20 Mark M. Wilde , Saikat Guha

Deep polar codes are pre-transformed polar codes that employ a multi-layered polar kernel transformation strategy to enhance code performance in short blocklength regimes. However, like conventional polar codes, their block length is…

Information Theory · Computer Science 2025-05-13 Geon Choi , Namyoon Lee

This paper considers a discrete time-Poisson noise channel which is used to model pulse-amplitude modulated optical communication with a direct-detection receiver. The goal of this paper is to obtain insights into the capacity and the…

Information Theory · Computer Science 2021-11-23 Luca Barletta , Alex Dytso

This paper proposes a new coded modulation scheme for reliable transmission of short data packets at very low signal-to-noise ratio, combining cyclic code shift keying modulation and non-binary polar coding. We consider non-binary polar…

Information Theory · Computer Science 2022-04-07 Valentin Savin
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