A golden decade of polar codes: From basic principle to 5G applications

K Niu, P Zhang, J Dai, Z Si, C Dong - China Communications, 2023 - ieeexplore.ieee.org
After the pursuit of seventy years, the invention of polar codes indicates that we have found
the first capacity-achieving coding with low complexity construction and decoding, which is …

Decoding of Polar Codes Using Quadratic Unconstrained Binary Optimization

H Zhou, R Seah, M Jalaleddine… - IEEE Journal on …, 2024 - ieeexplore.ieee.org
Polar codes encounter challenges in decoder complexity while preserving good error-
correction properties. Instead of conventional decoders, a quantum annealer (QA) decoder …

Approaching the normal approximation of the finite blocklength capacity within 0.025 dB by short polar codes

J Piao, K Niu, J Dai, C Dong - IEEE Wireless Communications …, 2020 - ieeexplore.ieee.org
In this letter, we explore the performance limits of short polar codes and find that the
maximum likelihood (ML) performance of a simple CRC-polar concatenated scheme can …

Polar-coded OFDM with index modulation

SY Zhang, B Shahrrava - IEEE Access, 2020 - ieeexplore.ieee.org
In this paper, we apply polar codes to a modified version of OFDM systems with index
modulation which is called OFDM with in-phase/quadrature index modulation (OFDM-I/Q …

Improved convolutional precoder for PAC codes

X Gu, M Rowshan, J Yuan - GLOBECOM 2023-2023 IEEE …, 2023 - ieeexplore.ieee.org
Convolutional precoding in polarization-adjusted convolutional (PAC) codes, a recently
introduced variant of polar codes, has demonstrated an effective reduction in the number of …

Sphere Decoding for Binary Polar Codes with the Modified Multiplicative Repetition Construction

H Chen, Y Liu, S Dang, Q Li, Y Sun… - Tsinghua Science and …, 2024 - ieeexplore.ieee.org
Compared to the successive cancellation (SC)-based decoding algorithms, the sphere
decoding (SD) algorithm can achieve better performance with reduced computational …

CRC-aided sphere decoding for short polar codes

J Piao, J Dai, K Niu - IEEE Communications Letters, 2018 - ieeexplore.ieee.org
Polar codes have recently been adopted as a coding scheme for fifth-generation wireless
systems, owing to their excellent performance at short code lengths. In this letter, we …

Reduced latency ML polar decoding via multiple sphere-decoding tree searches

C Husmann, PC Nikolaou… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Sphere decoding (SD) has been proposed as an efficient way to perform maximum-
likelihood (ML) decoding of Polar codes. Its latency requirements, however, are determined …

Fast block sequential decoding of polar codes

G Trofimiuk, N Iakuba, S Rets, K Ivanov… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
A reduced complexity sequential decoding algorithm for polar (sub) codes is described. The
proposed approach relies on a decomposition of the polar (sub) code being decoded into a …

Selective reverse PAC coding for sphere decoding

X Gu, M Rowshan, J Yuan - arxiv preprint arxiv:2212.00254, 2022 - arxiv.org
Convolutional precoding in polarization-adjusted convolutional (PAC) codes can reduce the
number of minimum weight codewords (aka error coefficient) of polar codes. This can result …