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In this paper, we propose a reinforcement learning based algorithm for rate-profile construction of Arikan's Polarization Assisted Convolutional (PAC) codes. This method can be used for any blocklength, rate, list size under successive…

信息论 · 计算机科学 2024-10-28 Samir Kumar Mishra , Digvijay Katyal , Sarvesha Anegundi Ganapathi

In the standard polar code construction, the message vector $(U_0,U_1,\dots,U_{n-1})$ is divided into information bits and frozen bits according to the reliability of each $U_i$ given $(U_0,U_1,\dots,U_{i-1})$ and all the channel outputs.…

信息论 · 计算机科学 2021-11-05 Guodong Li , Min Ye , Sihuang Hu

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…

信息论 · 计算机科学 2024-06-06 S Ashwin Hebbar , Sravan Kumar Ankireddy , Hyeji Kim , Sewoong Oh , Pramod Viswanath

Due to the low-latency and high-reliability requirements of 5G, low-complexity node-based successive cancellation list (SCL) decoding has received considerable attention for use in 5G communications systems. By identifying special…

Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

信息论 · 计算机科学 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

We propose a generalized construction for binary polar codes based on mixing multiple kernels of different sizes in order to construct polar codes of block lengths that are not only powers of integers. This results in a multi kernel polar…

信息论 · 计算机科学 2017-03-13 Frederic Gabry , Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore

Node-based successive cancellation list (SCL) decoding has received considerable attention in wireless communications for its significant reduction in decoding latency, particularly with 5G New Radio (NR) polar codes. However, the existing…

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…

信息论 · 计算机科学 2014-04-29 Aria G. Sahebi , S. Sandeep Pradhan

Polar codes are usually constructed by ranking synthetic bit-channels according to reliability, which guarantees capacity-achieving behavior but can yield poor low-weight spectra at short and moderate lengths. Recent algebraic results…

信息论 · 计算机科学 2026-01-21 Mohammad Rowshan , Vlad-Florin Dragoi

This paper proposes a method to optimize communication code rates via the application of neural polar decoders (NPDs). Employing this approach enables simultaneous optimization of code rates over input distributions while providing a…

信息论 · 计算机科学 2025-06-23 Ziv Aharoni , Bashar Huleihel , Henry D Pfister , Haim H Permuter

Polar codes are the first class of constructive channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels. But the analysis and construction of polar codes involve the complex iterative-calculation. In…

信息论 · 计算机科学 2019-11-26 Kai Niu , Yan Li , Weiling Wu

We consider the usage of finite-length polar codes for the Gaussian multiple access channel (GMAC) with a finite number of users. Based on the interleave-division multipleaccess (IDMA) concept, we implement an iterative detection and…

信息论 · 计算机科学 2020-12-04 Moustafa Ebada , Sebastian Cammerer , Ahmed Elkelesh , Marvin Geiselhart , Stephan ten Brink

Fifth generation (5G) wireless networks will need to serve much higher user densities than existing 4G networks, and will therefore require an enhanced radio access network (RAN) infrastructure. Physical layer network coding (PNC) has been…

信号处理 · 电气工程与系统科学 2018-05-16 Tong Peng , Yi Wang , Alister G. Burr , Mohammad Shikh-Bahaei

Polar codes are the first provable capacity-achieving forward error correction (FEC) codes. In general polar codes can be decoded via either successive cancellation (SC) or belief propagation (BP) decoding algorithm. However, to date…

信息论 · 计算机科学 2014-11-27 Bo Yuan , Keshab K. Parhi

Polar codes were introduced in 2009 by Arikan as the first efficient encoding and decoding scheme that is capacity achieving for symmetric binary-input memoryless channels. Recently, this code family was extended by replacing the…

信息论 · 计算机科学 2018-05-24 Maxime Tremblay , Benjamin Bourassa , David Poulin

A method is proposed, called channel polarization, to construct code sequences that achieve the symmetric capacity $I(W)$ of any given binary-input discrete memoryless channel (B-DMC) $W$. The symmetric capacity is the highest rate…

信息论 · 计算机科学 2016-11-18 Erdal Arikan

Polar codes are an exciting new class of error correcting codes that achieve the symmetric capacity of memoryless channels. Many decoding algorithms were developed and implemented, addressing various application requirements: from…

This paper presents a general framework for auto-generation of pipelined polar encoder architectures. The proposed framework could be well represented by a general formula. Given arbitrary code length $N$ and the level of parallelism $M$,…

硬件体系结构 · 计算机科学 2018-01-03 Zhiwei Zhong , Xiaohu You , Chuan Zhang

In this paper, we propose the explicit construction of a new class of lattices based on polar codes, which are provably good for the additive white Gaussian noise (AWGN) channel. We follow the multilevel construction of Forney \textit{et…

信息论 · 计算机科学 2013-07-05 Yanfei Yan , Cong Ling , Xiaofu Wu

A rateless code-i.e., a rate-compatible family of codes-has the property that codewords of the higher rate codes are prefixes of those of the lower rate ones. A perfect family of such codes is one in which each of the codes in the family is…

信息论 · 计算机科学 2011-06-07 Uri Erez , Mitchell D. Trott , Gregory W. Wornell