Analysis of Non-binary Polar Codes over GF(3) and GF(5) with Phase Shift Keying for Short Messages

Falk, Melanie; Bauch, Gerhard; Nissen, Ivor

doi:10.1109/vtc2020-fall49728.2020.9348796

Cited by 3 publications

(2 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Importantly, NB-PCs can save decoding latency by symbol-level operation instead of bit-level counterparts [28], providing potential for URLLC application. Moreover, NB-PCs with different nonbinary kernels over GF (q) were investigated in [29]- [31], which shows significant BER gains over binary counterparts.…”

mentioning

confidence: 99%

An Ultra-Reliable Low-Latency Non-Binary Polar Coded SCMA Scheme

Cai

Jin

et al. 2022

IEEE Trans. Veh. Technol.

View full text Add to dashboard Cite

The joint transmission scheme of polar codes and sparse code multiple access (SCMA) has been regarded as a promising technology for future wireless communication systems. However, most of the existing polar-coded SCMA (PC-SCMA) systems suffer from high latency caused by the feedback iteration and list decoding. In addition, the error performance of PC-SCMA systems is unsatisfactory for ultra-reliable transmission. Inspired by the compelling benefits of non-binary polar codes, in this paper, we design a non-binary polar-coded SCMA (NB-PC-SCMA) system with a free order matching strategy to address the issues of delay and reliability. Specifically, we first formulate a joint factor graph for NB-PC-SCMA and propose a non-binary successive cancellation list (NB-SCL) and damping based joint iterative detection and decoding (NSD-JIDD) multiuser receiver to improve the BER and latency performance. Then, a lazy-search based NB-SCL (L-NB-SCL) decoding is proposed to reduce the computational complexity by simplifying the path search pattern of the list decoder. After that, we modify the update of user nodes for SCMA detection to improve the convergence error and finally propose the improved NSD-JIDD (ISD-JIDD) algorithm, which can avoid redundant operations by exploiting L-NB-SCL decoding. Simulation results show that the proposed NB-PC-SCMA system achieves better bit error rate (BER) performance and considerable latency gain when compared to its counterparts. In particular, the proposed ISD-JIDD can achieve similar BER performance of NSD-JIDD with less complexity.

show abstract

mentioning

confidence: 99%

An Ultra-Reliable Low-Latency Non-Binary Polar Coded SCMA Scheme

Cai

Jin

et al. 2022

IEEE Trans. Veh. Technol.

View full text Add to dashboard Cite

show abstract

“…Importantly, NB-PCs can save decoding latency by symbol-level operation instead of bit-level counterparts [28], providing potential for URLLC application. Moreover, NB-PCs with different non-binary kernels over GF (q) were investigated in [29]- [31], which shows BER gains over binary polar codes.…”

mentioning

confidence: 99%

An Ultra-Reliable Low-Latency Non-Binary Polar Coded SCMA Scheme

Li¹,

Cai²,

Jin³

et al. 2021

Preprint

View full text Add to dashboard Cite

The joint transmission scheme of polar codes and sparse code multiple access (SCMA) has been regarded as a promising technology for future wireless communication systems. However, most of the existing polar-coded SCMA (PC-SCMA) systems suffer from high latency caused by the feedback iteration and list decoding. In addition, the error performance of PC-SCMA systems is unsatisfactory for ultra-reliable transmission. Inspired by the compelling benefits of non-binary polar codes, in this paper, we design a non-binary polar-coded SCMA (NB-PC-SCMA) system with a free order matching strategy to address the issues of delay and reliability. Specifically, we first formulate a joint factor graph for NB-PC-SCMA and propose a non-binary successive cancellation list (NB-SCL) and damping based joint iterative detection and decoding (NSD-JIDD) multiuser receiver to improve the BER and latency performance. Then, a lazy-search based NB-SCL (L-NB-SCL) decoding is proposed to reduce the computational complexity by modifying the path search pattern of the list decoder. After that, we optimize the update of user nodes for SCMA detection to improve the convergence error and finally propose the optimized NSD-JIDD (OSD-JIDD) algorithm, which can avoid redundant operations by exploiting L-NB-SCL decoding. Simulation results show that the proposed NB-PC-SCMA system achieves better bit error rate (BER) performance and considerable latency gain when compared to its counterparts. In particular, the proposed OSD-JIDD can achieve similar BER performance of NSD-JIDD with less complexity.

show abstract