Construction of parity‐check‐concatenated polar codes based on minimum Hamming weight codewords

Park, J.; Kim, I.; Song, Hong‐Yeop

doi:10.1049/el.2017.1037

Cited by 12 publications

(3 citation statements)

References 7 publications

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“…Parity-checks (PC) have emerged as an alternative to CRC due to their simplicity and flexibility [41], [43]. Introducing PC bits in the middle of the decoding instead of a single CRC check at the end makes it easier to tune the polar code spectrum; bit-channels corresponding to minimum weight rows are the best candidates to host parity checks [44]. 3GPP decided to adopt a low complexity PC design based on shift registers [45] in conjunction with a classical CRC, as proposed in [46], to improve the code design flexibility.…”

Section: Assistant Bits Designmentioning

confidence: 99%

Design of Polar Codes in 5G New Radio

Bioglio

Condo

Land

2021

IEEE Commun. Surv. Tutorials

220

107

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Polar codes have attracted the attention of academia and industry alike in the past decade, such that the 5 th generation wireless systems (5G) standardization process of the 3 rd generation partnership project (3GPP) chose polar codes as a channel coding scheme. In this tutorial, we provide a description of the encoding process of polar codes adopted by the 5G standard. We illustrate the struggles of designing a family of polar codes able to satisfy the demands of 5G systems, with particular attention to rate flexibility and low decoding latency. The result of these efforts is an elaborate framework that applies novel coding techniques to provide a solid channel code for NR requirements.

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Section: Assistant Bits Designmentioning

confidence: 99%

Design of Polar Codes in 5G New Radio

Bioglio

Condo

Land

2021

IEEE Commun. Surv. Tutorials

220

107

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“…An alternative scheme of these codes is achieved, when the CRC code is replaced by the parity-check code [6]. In this case, parity-check codes having low multiplicity in their minimum weight are selected [7].…”

Section: Introductionmentioning

confidence: 99%

A Novel Scheme of Product Polar Codes with High Efficiency and Rate Compatibility

Hanif

Vafi

2020

Wireless Communications and Mobile Computing

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This paper presents a new structure of product codes formed by combining two polar codes. The encoding performance of these codes is verified by implementing an exhaustive search algorithm, which determines their minimum weight specifications. Conducted analysis and simulations confirm that with the equal code length and rate, the newly proposed codes outperform the conventional polar codes in high energy per bit-to-noise ratios (Eb/N0≤5 dB). This is concluded from punctured and nonpunctured product codes.

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“…To improve the polar code performance with the finite block length, various decoding processes [10][11][12][13] and concatenation schemes [14][15][16][17][18] were proposed. The decoding processes in these works have higher complexity than the original SC decoding of [1].…”

Section: Introductionmentioning

confidence: 99%

A Correlation-Breaking Interleaving of Polar Codes in Concatenated Systems

Meng

Zhang

2017

Preprint

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It is known that the bit errors of polar codes with successive cancellation (SC) decoding are coupled. However, existing concatenation schemes of polar codes with other error correction codes rarely take this coupling effect into consideration. To achieve a better error performance of concatenated systems with polar codes as inner codes, one can divide all bits in an outer block into different polar blocks to completely decorrelate the possible coupled errors in the transmitter side. We call this interleaving a blind interleaving (BI) which serves as a benchmark. Two BI schemes, termed BI-DP and BI-CDP, are proposed in the paper. To better balance performance, memory size, and the decoding delay from the de-interleaving, a novel interleaving scheme, named the correlation-breaking interleaving (CBI), is proposed. The CBI breaks the correlated information bits based on the error correlation pattern proposed and proven in this paper. The proposed CBI scheme is general in the sense that any error correction code can serve as the outer code. In this paper, Low-Density Parity-Check (LDPC) codes and BCH codes are used as two examples of the outer codes of the interleaving scheme. The CBI scheme 1) can keep the simple SC polar decoding while achieving a better error performance than the state-of-the-art (SOA) direct concatenation of polar codes with LDPC codes and BCH codes; 2) achieves a comparable error performance as the BI-DP scheme with a smaller memory size and a shorter decoding delay. Numerical results are provided to verify the performance of the BI schemes and the CBI scheme.

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Construction of parity‐check‐concatenated polar codes based on minimum Hamming weight codewords

Cited by 12 publications

References 7 publications

Design of Polar Codes in 5G New Radio

Design of Polar Codes in 5G New Radio

A Novel Scheme of Product Polar Codes with High Efficiency and Rate Compatibility

A Correlation-Breaking Interleaving of Polar Codes in Concatenated Systems

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