Enhanced GCD through ORBGRAND-AI: Exploiting Partial and Total Correlation in Noise

Fuente: arXiv
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Main Authors: Feng, Jiewei, Duffy, Ken R., Médard, Muriel
Format: Preprint
Published: 2025
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author Feng, Jiewei
Duffy, Ken R.
Médard, Muriel
author_facet Feng, Jiewei
Duffy, Ken R.
Médard, Muriel
contents There have been significant advances in recent years in the development of forward error correction decoders that can decode codes of any structure, including practical realizations in synthesized circuits and taped out chips. While essentially all soft-decision decoders assume that bits have been impacted independently on the channel, for one of these new approaches it has been established that channel dependencies can be exploited to achieve superior decoding accuracy, resulting in Ordered Reliability Bits Guessing Random Additive Noise Decoding Approximate Independence (ORBGRAND-AI). Building on that capability, here we consider the integration of ORBGRAND-AI as a pattern generator for Guessing Codeword Decoding (GCD). We first establish that a direct approach delivers mildly degraded block error rate (BLER) but with reduced number of queried patterns when compared to ORBGRAND-AI. We then show that with a more nuanced approach it is possible to leverage total correlation to deliver an additional BLER improvement of around 0.75 dB while retaining reduced query numbers.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07376
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Enhanced GCD through ORBGRAND-AI: Exploiting Partial and Total Correlation in Noise
Feng, Jiewei
Duffy, Ken R.
Médard, Muriel
Signal Processing
There have been significant advances in recent years in the development of forward error correction decoders that can decode codes of any structure, including practical realizations in synthesized circuits and taped out chips. While essentially all soft-decision decoders assume that bits have been impacted independently on the channel, for one of these new approaches it has been established that channel dependencies can be exploited to achieve superior decoding accuracy, resulting in Ordered Reliability Bits Guessing Random Additive Noise Decoding Approximate Independence (ORBGRAND-AI). Building on that capability, here we consider the integration of ORBGRAND-AI as a pattern generator for Guessing Codeword Decoding (GCD). We first establish that a direct approach delivers mildly degraded block error rate (BLER) but with reduced number of queried patterns when compared to ORBGRAND-AI. We then show that with a more nuanced approach it is possible to leverage total correlation to deliver an additional BLER improvement of around 0.75 dB while retaining reduced query numbers.
title Enhanced GCD through ORBGRAND-AI: Exploiting Partial and Total Correlation in Noise
topic Signal Processing
url https://arxiv.org/abs/2511.07376