Confusions and Erasures of Error-Bounded Block Decoders with Finite Blocklength

Publikation: Vorabdruck/Dokumentation/BerichtVorabdruck (Preprint)

Beitragende

  • Bin Han - , Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau (Autor:in)
  • Yao Zhu - , Rheinisch-Westfälische Technische Hochschule Aachen (Autor:in)
  • Rafael F. Schaefer - , Professur für Informationstheorie und maschinelles Lernen (Autor:in)
  • Giuseppe Caire - , Technische Universität Berlin (Autor:in)
  • Anke Schmeink - , Rheinisch-Westfälische Technische Hochschule Aachen (Autor:in)
  • H. Vincent Poor - , Princeton University (Autor:in)
  • Hans D. Schotten - , Deutsches Forschungszentrum für Künstliche Intelligenz (DFKI) (Autor:in)

Abstract

This paper investigates two distinct types of block errors - undetected errors (confusions) and erasures - in additive white Gaussian noise (AWGN) channels with error-bounded block decoders operating in the finite blocklength (FBL) regime. While block error rate (BLER) is a common metric, it does not distinguish between confusions and erasures, which can have significantly different impacts in cross-layer protocol design, despite upper-layer protocols universally assuming physical (PHY) errors manifest as packet erasures rather than undetected corruptions - an assumption lacking rigorous PHY-layer validation. We present a systematic analysis of confusions and erasures under BLER-constrained maximum likelihood (ML) decoding. Through sphere-packing analysis, we provide analytical bounds for both block confusion and erasure probabilities, and derive the sensitivities of these bounds to blocklength and signal-to-noise ratio (SNR). To the best of our knowledge, this is the first study on this topic in the FBL regime. Our findings provide theoretical validation for the block erasure channel abstraction commonly assumed in medium access control (MAC) and network layer protocols, confirming that, for practical FBL codes, block confusions are negligible compared to block erasures, especially at large blocklengths and high SNR.

Details

OriginalspracheEnglisch
PublikationsstatusVeröffentlicht - 18 Dez. 2025
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Externe IDs

ORCID /0000-0002-1702-9075/work/215166339

Schlagworte

Fächergruppen, Lehr- und Forschungsbereiche, Fachgebiete nach Destatis

Schlagwörter

  • cs.IT