1. State Key Laboratory of Integrated Services Networks, Xidian University,Xi'an,China,710071
2. Department of Electrical and Computer Engineering, McMaster University,, Ontario,Hamilton,Canada,L8S 4K1
3. School of Computer Science and Engineering, Sun Yat-sen University,Guangzhou,China,510006
4. Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University,Guangzhou,China,510006
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Peiyao Chen, Baoming Bai, Xiao Ma. Nonbinary polar coding with low decoding latency and complexity[J]. 信息与智能学报（英文）, 2023,1(1):36-53.
Nonbinary polar coding with low decoding latency and complexity[J]. Journal of Information and Intelligence, 2023,1(1):36-53.
Peiyao Chen, Baoming Bai, Xiao Ma. Nonbinary polar coding with low decoding latency and complexity[J]. 信息与智能学报（英文）, 2023,1(1):36-53. DOI： 10.1016/j.jiixd.2022.10.002.
Nonbinary polar coding with low decoding latency and complexity[J]. Journal of Information and Intelligence, 2023,1(1):36-53. DOI： 10.1016/j.jiixd.2022.10.002.
In this paper, we propose a new class of nonbinary polar codes, where the ,symbol-level, polarization is achieved by using a 2 × 2 ,q,-ary matrix 10β1 as the kernel. Under ,bit-level, code construction, some ,partially-frozen symbols, exist, 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 a similar structure to 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. A low-complexity decoding method is also introduced, in which only more competitive symbols are considered rather than the whole ,q, symbols in the finite field. To support high spectral efficiency, 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 in 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 future ultra-reliable and low-latency communications (URLLC).
In this paper, we propose a new class of nonbinary polar codes, where the ,symbol-level, polarization is achieved by using a 2 × 2 ,q,-ary matrix 10β1 as the kernel. Under ,bit-level, code construction, some ,partially-frozen symbols, exist, 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 a similar structure to 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. A low-complexity decoding method is also introduced, in which only more competitive symbols are considered rather than the whole ,q, symbols in the finite field. To support high spectral efficiency, 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 in 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 future ultra-reliable and low-latency communications (URLLC).
Decoding latencyDecoding complexityMultiplicative repetitionNonbinary polar codesURLLC
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