Rate-Compatible Punctured Polar Codes

Han, Seokju; Kim, Bonghoe; Ha, Jeongseok

doi:10.1109/lcomm.2022.3144695

Cited by 11 publications

(8 citation statements)

References 12 publications

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“…This operator is demonstrated to exhibit a phenomenon known as the straight path effect, where its output on the straight path has reduced reliability compared to the incoming messages. 8 Every new arrangement of the punctured bits will produce different rated polar code sequences, that is,…”

Section: Preliminariesmentioning

confidence: 99%

“…It is known from Reference 13 that a square operator, which can approximate the bit‐wise XOR operation as

L\left({y}_1\right)\square L\left({y}_2\right)\approx \operatorname{sign}\left(L\left({y}_1\right)\right)\cdotp \operatorname{sign}\left(L\left({y}_2\right)\right)\cdotp \min \left(\left|L\left({y}_1\right)\right|,\left|L\left({y}_2\right)\right|\right)

. This operator is demonstrated to exhibit a phenomenon known as the straight path effect, where its output on the straight path has reduced reliability compared to the incoming messages 8 …”

Section: Preliminariesmentioning

confidence: 99%

“…The reliability gets influenced when it propagates on the channel path. In Reference 8, it has also been proved that the straight path denoted by

𝒮_{i} = 𝒫_{u_{i} \to y_{i}}

has a stronger influence on the receiving LLR, due to which the straight path remains a dominant path for the influence less communication between input

{u}_i

and output

{y}_i

. One can note that the straight path accepts the contribution in LLR from the linked path via the “

\bigcirc

” operator.…”

Section: Reliability Estimation Of Llrmentioning

confidence: 99%

“…At the same time, they also have some downside, which uses enormous computation complexity and long latency. Different other techniques have been introduced, such as the rate-compatible (RC) puncturing scheme that utilizes reliability scoring 8 and multi-CRC 2 technique. The idea of puncturing was introduced by the phenomenon of restricting the transmission of several non-useful bits in the native code to meet the rate-matching requirements.…”

Section: Introductionmentioning

confidence: 99%

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Reliability weight‐based extended puncturing mechanism for polar codes using translation shift

Ali,

Xia

2024

Trans Emerging Tel Tech

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This article proposes an extended version of the enhanced puncturing mechanism for polar codes of limited lengths based on the translation shift of the channel indices coordinates, which is determined by introducing a new parameter known as reliability weight. It has been found that the message log‐likelihood ratio (LLR) gets influenced during transmission. This influence can be measured in terms of the reliability magnitude of the LLR messages by the path under consideration. Our work analyzes this correlation as a scaling technique for the reliability measurement of LLR values evaluated through the straight path phenomenon over the decoder tree traversing, providing a base for translating channel coordinates in Euclidean space. Further, we presented a reliable nearest coordinate shifting algorithm for puncturing the least reliable bits taken from a fixed information set, which maximizes the gap between reliable and unreliable bits. Simulation results demonstrate that the designed algorithm enhances the puncturing of unreliable channel coordinates by widening the gap between reliable and unreliable bits and has the lowest hardware complexity.

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Section: Preliminariesmentioning

confidence: 99%

“…It is known from Reference 13 that a square operator, which can approximate the bit‐wise XOR operation as

L\left({y}_1\right)\square L\left({y}_2\right)\approx \operatorname{sign}\left(L\left({y}_1\right)\right)\cdotp \operatorname{sign}\left(L\left({y}_2\right)\right)\cdotp \min \left(\left|L\left({y}_1\right)\right|,\left|L\left({y}_2\right)\right|\right)

. This operator is demonstrated to exhibit a phenomenon known as the straight path effect, where its output on the straight path has reduced reliability compared to the incoming messages 8 …”

Section: Preliminariesmentioning

confidence: 99%

“…The reliability gets influenced when it propagates on the channel path. In Reference 8, it has also been proved that the straight path denoted by

𝒮_{i} = 𝒫_{u_{i} \to y_{i}}

has a stronger influence on the receiving LLR, due to which the straight path remains a dominant path for the influence less communication between input

{u}_i

and output

{y}_i

. One can note that the straight path accepts the contribution in LLR from the linked path via the “

\bigcirc

” operator.…”

Section: Reliability Estimation Of Llrmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reliability weight‐based extended puncturing mechanism for polar codes using translation shift

Ali,

Xia

2024

Trans Emerging Tel Tech

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“…The 5G framework demands various code lengths and code rates. The rate-matching schemes [4], [5] are proposed to address this limitation. However, a priori performance and optimality evaluation of these methods are hard.…”

Section: Introductionmentioning

confidence: 99%

A Combinational Multi-Kernel Decoder for Polar Codes

Rezaei¹,

Rajatheva²

2022

Preprint

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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 constructed by binary (2 × 2) kernel which limits the code lengths to powers of 2. Multi-kernel polar codes are proposed to achieve flexible block length. In this paper, the first combinational decoder for multi-kernel polar codes based on successive cancellation algorithm is proposed. The proposed decoder can decode pure-binary and binary-ternary (3×3) mixed polar codes. The architecture is rate-flexible with the capability of online rate assignment and supports any kernel sequences. The FPGA implementation results reveal that for a code of length N = 48, the coded throughput of 812.1 Mbps can be achieved.

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Puncturing scheme for polar codes based on channel reliability estimation

Han

Zhang

et al. 2023

Telecommun Syst

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The compiled code algorithms for polar codes, which were proposed by Arikan, are of low complexity, with excellent performance for a given code length. Consequently, it has attracted widespread attention and gained popularity since its inception. The construction of punctured polar codes allows for more flexibility in coding, making them suitable for a greater variety of scenarios. This paper proposes an improved puncturing scheme for polar codes. With the constraints imposed by conventional punctured polar codes, the error probability of each polarized sub-channel is then calculated on the basis of the channel reliability estimation methodology, so as to puncture the less reliable polarized sub-channels. Furthermore, to achieve better decoding performance, this scheme sets the initial log-likelihood rate (LLR) of the punctured bits to infinity (or negative infinity). The simulation outcomes indicate that the improved punctured polar codes as proposed in this paper perform better than the conventional punctured polar codes.

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Rate-Compatible Punctured Polar Codes

Cited by 11 publications

References 12 publications

Reliability weight‐based extended puncturing mechanism for polar codes using translation shift

Reliability weight‐based extended puncturing mechanism for polar codes using translation shift

A Combinational Multi-Kernel Decoder for Polar Codes

Puncturing scheme for polar codes based on channel reliability estimation

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