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PreprintarXiv licencearXiv

AoI-Aware Polar Code Blind Rate Adaptation

Abstract

We study adaptive prefix-length selection for reliability-ordered coded transmission over N coordinates, using only the K most reliable, to balance age of information (AoI) against throughput. An additive-increase/decrease (AID) prefix-walk controller updates the prefix length from the last decoding outcome alone, at O(1) per-slot cost with no channel estimation, inducing an irreducible birth--death chain whose mean drift fixes a unique balance point K† (largest K with success probability ≥1/2), around which the stationary distribution concentrates geometrically. We derive this distribution in closed form via detailed balance and obtain exact steady-state AoI and goodput via renewal-reward analysis. Simulations on a $64$-coordinate polar code over a binary symmetric channel (BSC) confirm these predictions to within 0.3%. Relative to a genie-aided upper bound with perfect channel knowledge, we further quantify the goodput cost of adapting from a single feedback bit alone.

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BibTeX
@misc{tavakoli2026aoiaware,
  title = {{AoI-Aware Polar Code Blind Rate Adaptation}},
  author = {Hassan Tavakoli},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27593},
  eprint = {2610.27593},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27593},
}
RIS
TY  - UNPB
TI  - AoI-Aware Polar Code Blind Rate Adaptation
AU  - Hassan Tavakoli
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.27593
UR  - https://arxiv.org/abs/2610.27593
AB  - We study adaptive prefix-length selection for reliability-ordered coded transmission over N coordinates, using only the K most reliable, to balance age of information (AoI) against throughput. An additive-increase/decrease (AID) prefix-walk controller updates the prefix length from the last decoding outcome alone, at O(1) per-slot cost with no channel estimation, inducing an irreducible birth--death chain whose mean drift fixes a unique balance point K^† (largest K with success probability ≥1/2), around which the stationary distribution concentrates geometrically. We derive this distribution in closed form via detailed balance and obtain exact steady-state AoI and goodput via renewal-reward analysis. Simulations on a $64$-coordinate polar code over a binary symmetric channel (BSC) confirm these predictions to within 0.3%. Relative to a genie-aided upper bound with perfect channel knowledge, we further quantify the goodput cost of adapting from a single feedback bit alone.
ER  -