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PreprintarXiv licencearXiv

Soft-Output GRAND-Aided Macrosymbol

  • Sarah Khalifeh
  • Alexander Mariona
  • Ken R. Duffy
  • Muriel Medard
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Abstract

Guessing Random Additive Noise Decoding-Aided Macrosymbol (GRAND-AM) provides a coding-based solution for non-orthogonal multiple access (NOMA) systems, enabling joint multiuser detection and error correction. GRAND-AM outperforms prior methods in symbol error rates while providing hard-detection output. We introduce soft-output GRAND-AM (SOGRAND-AM), a macrosymbol-level joint multiuser detection and decoding framework which generates calibrated bitwise a posteriori error probabilities. SOGRAND-AM extends GRAND-AM by enabling soft-decision outer forward error correction decoders, transparently integrating with existing decoders. SOGRAND-AM achieves approximately 2 dB improvement in bit error rate at the output of the outer soft-input decoder compared to hard input with GRAND-AM.

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Cite

BibTeXRIS
BibTeX
@misc{khalifeh2026softoutput,
  title = {{Soft-Output GRAND-Aided Macrosymbol}},
  author = {Sarah Khalifeh and Alexander Mariona and Ken R. Duffy and Muriel Medard},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.33830},
  eprint = {2609.33830},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.33830},
}
RIS
TY  - UNPB
TI  - Soft-Output GRAND-Aided Macrosymbol
AU  - Sarah Khalifeh
AU  - Alexander Mariona
AU  - Ken R. Duffy
AU  - Muriel Medard
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2609.33830
UR  - https://arxiv.org/abs/2609.33830
AB  - Guessing Random Additive Noise Decoding-Aided Macrosymbol (GRAND-AM) provides a coding-based solution for non-orthogonal multiple access (NOMA) systems, enabling joint multiuser detection and error correction. GRAND-AM outperforms prior methods in symbol error rates while providing hard-detection output. We introduce soft-output GRAND-AM (SOGRAND-AM), a macrosymbol-level joint multiuser detection and decoding framework which generates calibrated bitwise a posteriori error probabilities. SOGRAND-AM extends GRAND-AM by enabling soft-decision outer forward error correction decoders, transparently integrating with existing decoders. SOGRAND-AM achieves approximately 2 dB improvement in bit error rate at the output of the outer soft-input decoder compared to hard input with GRAND-AM.
ER  -