This paper introduces a novel framework for polar codes, designed for flexible Incremental Redundancy Hybrid Automatic Repeat Request (IR-HARQ). By generalizing the decoding order beyond the standard 1$\to$N sequence, we enable a capacity-aware scheduling strategy that prioritizes the decoding of reliable subblocks. The framework integrates nested parity-check polar construction and reverse bit-mapping to support continuous and arbitrary transmission lengths $E \in [N_{\min}, N_{\max}]$. Simulation results show that the proposed rateless codes match the coding gain of independently optimized fixed-rate codes across the entire range of rates and lengths. With a validated hardware implementation, this work provides a practical solution for next-generation wireless data channels.

翻译：本文提出了一种新颖的极化码框架，专为灵活增量冗余混合自动重传请求（IR-HARQ）设计。通过将解码顺序推广至标准1$\to$N序列之外，我们实现了一种容量感知调度策略，优先解码可靠子块。该框架集成了嵌套奇偶校验极化码构造与反向比特映射，以支持连续且任意传输长度$E \in [N_{\min}, N_{\max}]$。仿真结果表明，所提出的无码率码在全部速率和长度范围内，与独立优化的固定码率码的编码增益相匹配。结合经过验证的硬件实现，本工作为下一代无线数据信道提供了实用解决方案。