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In blind detection, a set of candidates has to be decoded within a strict time constraint, to identify which transmissions are directed at the user equipment. Blind detection is an operation required by the 3GPP LTE/LTE-Advanced standard,…

信息论 · 计算机科学 2017-05-17 Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

Binary linear block codes (BLBCs) are essential to modern communication, but their diverse structures often require tailor-made decoders, increasing complexity. This work introduces enhanced polar decoding ($\mathsf{PD}^+$), a universal…

信息论 · 计算机科学 2025-05-16 Chien-Ying Lin , Yu-Chih Huang , Shin-Lin Shieh , Po-Ning Chen

In this paper, code decompositions (a.k.a. code nestings) are used to design binary polarization kernels. The proposed kernels are in general non-linear. They provide a better polarization exponent than the previously known kernels of the…

信息论 · 计算机科学 2015-03-09 Noam Presman , Ofer Shapira , Simon Litsyn , Tuvi Etzion , Alexander Vardy

Ultra-reliable low-latency communications (URLLC) demand decoding algorithms that simultaneously offer high reliability and low complexity under stringent latency constraints. While iterative decoding schemes for LDPC and Polar codes offer…

信号处理 · 电气工程与系统科学 2025-07-30 Enrico Testi , Enrico Paolini

Polar codes, invented by Arikan in 2009, are known to achieve the capacity of any binary-input memoryless output-symmetric channel. One of the few drawbacks of the original polar code construction is that it is not universal. This means…

信息论 · 计算机科学 2013-12-16 S. Hamed Hassani , Rudiger Urbanke

A probabilistic shaping method for multi-level coding (MLC) is presented, where the transmitted symbols are forced to have a shaped non-uniform distribution. It is shown that shaping only a single bit-level suffices to compensate for most…

信息论 · 计算机科学 2018-12-20 Onurcan İşcan , Ronald Böhnke , Wen Xu

Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

信息论 · 计算机科学 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross

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…

信息论 · 计算机科学 2019-01-23 Valerio Bioglio , Carlo Condo , Ingmar Land

An important ingredient of the future 5G systems will be Ultra-Reliable Low-Latency Communication (URLLC). A way to offer URLLC without intervention in the baseband/PHY layer design is to use interface diversity and integrate multiple…

信息论 · 计算机科学 2017-11-22 Jimmy J. Nielsen , Rongkuan Liu , Petar Popovski

The problem of polar coding for an arbitrary sequence of independent binary-input memoryless symmetric (BMS) channels $\left\{W_i\right\}_{i=1}^{N}$ is considered. The sequence of channels is assumed to be completely known to both the…

信息论 · 计算机科学 2020-08-27 Hessam Mahdavifar

Although iterative decoding of polar codes has recently made huge progress based on the idea of permuted factor graphs, it still suffers from a non-negligible performance degradation when compared to state-of-the-art CRC-aided successive…

信息论 · 计算机科学 2020-01-20 Marvin Geiselhart , Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

We consider explicit polar constructions of blocklength $n\rightarrow\infty$ for the two extreme cases of code rates $R\rightarrow1$ and $R\rightarrow0.$ For code rates $R\rightarrow1,$ we design codes with complexity order of $n\log n$ in…

信息论 · 计算机科学 2017-02-17 Ilya Dumer

Motivated by the need to communicate short control messages in 5G and beyond, this paper carefully designs codes for cyclic redundancy check (CRC)-aided list decoding of tail-biting convolutional codes (TBCCs) and polar codes. Both codes…

信息论 · 计算机科学 2023-02-16 Jacob King , Hanwen Yao , William Ryan , Richard D. Wesel

Polar codes are the latest breakthrough in coding theory, as they are the first family of codes with explicit construction that provably achieve the symmetric capacity of discrete memoryless channels. Ar{\i}kan's polar encoder and…

信息论 · 计算机科学 2017-03-01 Mostafa El-Khamy , Hessam Mahdavifar , Gennady Feygin , Jungwon Lee , Inyup Kang

We propose a nonuniform quantized decoder for polar codes. The design metric of the quantizers is to minimize the distortion incurred by quantization. The quantizers are obtained via dynamic programming and the optimality of the quantizer…

信息论 · 计算机科学 2020-11-17 Zhiwei Cao , Hongfei Zhu , Yuping Zhao , Dou Li

Polar codes, as the first provable capacity-achieving error-correcting codes, have received much attention in recent years. However, the decoding performance of polar codes with traditional successive-cancellation (SC) algorithm cannot…

信息论 · 计算机科学 2014-09-23 Bo Yuan , Keshab K. Parhi

Arikan's polar coding method is extended to two-user multiple-access channels. It is shown that if the two users of the channel use the Arikan construction, the resulting channels will polarize to one of five possible extremals, on each of…

信息论 · 计算机科学 2016-11-15 Eren Sasoglu , Emre Telatar , Edmund Yeh

With the increasing demand for ultra-reliable and low-latency communication (URLLC), spatiotemporal two-dimensional (2-D) channel coding has received growing interest. By leveraging the spatial degrees of freedom in massive multiple-input…

信息论 · 计算机科学 2026-04-24 Yaqi Li , Shuohan Zhang , Xiaohu You , Jiamin Li

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…

信息论 · 计算机科学 2025-08-29 Liudmila Karakchieva , Peter Trifonov

Short packets make channel learning expensive. In pilot-aided transmission (PAT), a non-negligible fraction of the packet is consumed by pilots, creating a direct pre-log loss and tightening the reliability margin needed for ultra-reliable…

信号处理 · 电气工程与系统科学 2026-02-23 Geon Choi , Namyoon Lee