Rate assignment for multi‐level polarised non‐binary polar codes

Wu, Daolong; Liu, Ying; Sun, Yue

doi:10.1049/iet-com.2015.0738

Cited by 4 publications

(2 citation statements)

References 13 publications

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“…In the pioneer works [16], [17], multiple polarization exists for q = 2 r polar codes showing multiple capacities from 1 to r bits in a symbol. To make full use of this phenomenon and intensify the bit-level polarization, a linear transformation (LT) is applied to each input symbol u n 1 before nonbinary polar encoding, resulting in symbols v n…”

Section: B Linear Transformation Constructionmentioning

confidence: 99%

Two-Stage Polarization-Based Nonbinary Polar Codes for 5G URLLC

Chen

Bai

Ma³

2018

Preprint

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In this paper, we propose a new class of nonbinary polar codes with two-stage polarization for ultra-reliable and low-latency communications (URLLC), where the outer (symbollevel) polarization is achieved by using a 2×2 q-ary matrix 1 0 β 1 as the kernel and the inner (bit-level) polarization is achieved by a binary polarization matrix for each input symbol. With the two-stage polarization, bit-level code construction is introduced, resulting in partially-frozen symbols, where the frozen bits in these symbols can be used as active-check bits to facilitate the decoder. The encoder/decoder of the proposed codes has the same structure as the original binary polar codes, admitting an easily configurable and flexible implementation, which is an obvious advantage over the existing nonbinary polar codes based on Reed-Solomon (RS) codes. To support high spectral efficiency in URLLC, we also present, in addition to the single level coded modulation scheme with field matched modulation order, a mixed multilevel coded modulation scheme with arbitrary modulation order to trade off the latency against complexity. Simulation results show that our proposed nonbinary polar codes exhibit comparable performance with the RS4-based polar codes and outperform binary polar codes with low decoding latency, suggesting a potential application for 5G URLLC.

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Section: B Linear Transformation Constructionmentioning

confidence: 99%

Two-Stage Polarization-Based Nonbinary Polar Codes for 5G URLLC

Chen

Bai

Ma³

2018

Preprint

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“…In [13], non-binary polar codes are discussed and performance analysis is carried out for memorylesschannels using rate assignment theory. According to this method, memory less channels can be polarized into multiple levels for performance improvement.…”

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confidence: 99%

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2017

IJET

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Abstract-Recent advancement in digital communication application has grown significantly. Developed communication methods demand for higher performance for real time application scenarios where noisy channels are present. In this context, polar codes have grown as a promising technique for errorcorrecting scheme and performance enhancement in memoryless channel communication scenarios. This article presents a brief study about polar coding, principle, encoding schemes and introduces a new encoding scheme for performance improvement of polar codes.In this work, we propose new encoding schemes which mainly address the issue of computational complexity and memory requirements for polar coding scheme. Here we address the issue related to systematic polar coding schemes and their computational complexity reduction. Proposed method computes the requirement of XOR implementation to encode the data and total memory requirement for complete encoding scheme. An experimental study is carried out to show the significance of proposed model where performance is computed in terms of bit error rate and frame error rate. Experimental study shows that proposed systematic encoding scheme outperform when compared to state-of-art technique.I. INTRODUCTION During recent years, demand of digital communication has grown rapidly which has improved the emerging technique coding theory for efficient data communication. In this field of data coding, Shannon's introduced channel coding theory which is best known effort for transmission of data reliability over a wireless noise channel and performance of system can be enhanced. Mainly, channel coding theory depends on the essential ideas which are: Code selection: Transmittedcode word and received data equipartition property while performing for large number of code length Maximum likelihood decoding: Asymptotic equipartition probability (AEP) is a promising technique which guarantees for better communication by reducing error in received codeword. However, random code selection is also an efficient technique by considering mathematicalcomplexity during data encoding and decoding. In coding theory, achieving better coding performance is still remains a challenging issue for researchers. In order to address this issue various techniques have been proposed such as LDPC (Low-Density Parity Check) [1], turbo coding[2] etc. Another challenging issue is known as practical implementation of these coding schemes for real time application scenarios.In coding theory, coding randomness is an issue which affects the performance of communication which is introduced in turbo code due to interleavers connected between check nodes and variable nodes while considering LDPC. In order to achieve reliable and efficient decoding, turbo codes utilized BCJR algorithm and LDPC uses belief propagation approach. These methods improve the performance and due to better performance requirements it is adopted in WCDMA, LTE and 3GPP standards. These methods still suffer from the capacity to achieve joint AEP when communic...

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