VLSF Decoding with Reliability Guarantees over Correlated Noncoherent Fading Channels
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911601801560064 |
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| author | Sun, Guodong Perlaza, Samir M. Mary, Philippe Gorce, Jean-Marie |
| author_facet | Sun, Guodong Perlaza, Samir M. Mary, Philippe Gorce, Jean-Marie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16062 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | VLSF Decoding with Reliability Guarantees over Correlated Noncoherent Fading Channels Sun, Guodong Perlaza, Samir M. Mary, Philippe Gorce, Jean-Marie Information Theory 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. |
| title | VLSF Decoding with Reliability Guarantees over Correlated Noncoherent Fading Channels |
| topic | Information Theory |
| url | https://arxiv.org/abs/2604.16062 |