English

VLSF Decoding with Reliability Guarantees over Correlated Noncoherent Fading Channels

Information Theory 2026-04-20 v1 math.IT

Abstract

This paper studies reliability-guaranteed decoding for variable-length stop-feedback (VLSF) codes over correlated noncoherent fading channels. The decoding rule is based on the evolution of the information density associated with a given channel input-output realization. Due to channel memory, exact evaluation of this information density is intractable. To enable constructive decoding, computable finite-blocklength lower and upper bounds on the information density that hold uniformly over time along each input-output sequence are derived. The lower bound enables a stopping-time analysis for VLSF decoding and has an operational meaning, while the upper bound provides a reference for the relaxation gap, which is explicitly characterized. As a concrete application, the Gauss-Markov fading channel with Gaussian signaling is considered to numerically investigate the stopping-time distribution and the impact of fading correlation on decoding performance.

Keywords

Cite

@article{arxiv.2604.16062,
  title  = {VLSF Decoding with Reliability Guarantees over Correlated Noncoherent Fading Channels},
  author = {Guodong Sun and Samir M. Perlaza and Philippe Mary and Jean-Marie Gorce},
  journal= {arXiv preprint arXiv:2604.16062},
  year   = {2026}
}

Comments

Accepted in IEEE International Symposium on Information Theory (ISIT) 2026 Guangzhou, China

R2 v1 2026-07-01T12:14:24.940Z