ScholarWorks@성균관대학교

초록

We propose a polar coding scheme for block fading channels, aiming to achieve maximum diversity while maintaining the performance under additive white Gaussian noise channels (AWGNC). The key idea is diversity alignment, which aligns maximum diversity with information bits through proper codeword bit to fading block mapping. We first develop a low-complexity diversity analysis tool based on Boolean approximation under genie-aided successive cancellation decoding which can be used for arbitrary bit-to-block mapping. Second, we propose a tractable optimal block mapping for M = 2 fading blocks and develop fast search algorithms for general M ≥ 2, achieving optimal low-rate diversity coding (dc = M at R = 1/M) for a wide range of M. Moreover, our scheme can be applied to achieve optimal high-rate diversity-2 coding (dc = 2 at R = (M−1)/M) with good AWGNC codes. We show that appropriate block-mapping can achieve both low-rate and high-rate optimal diversity simultaneously. Numerical results demonstrate that our framework provides accurate diversity analysis and the proposed DA scheme outperforms conventional interleavers under block fading channels while preserving AWGNC performance. The proposed can play a crucial role in supporting the URLLC communication in future systems, where channel is quickly changing but high reliability is required.

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