English

Polar Codes with Local-Global Decoding

Information Theory 2023-01-09 v1 math.IT

Abstract

In this paper, we investigate a coupled polar code architecture that supports both local and global decoding. This local-global construction is motivated by practical applications in data storage and transmission where reduced-latency recovery of sub-blocks of the coded information is required. Local decoding allows random access to sub-blocks of the full code block. When local decoding performance is insufficient, global decoding provides improved data reliability. The coupling scheme incorporates a systematic outer polar code and a partitioned mapping of the outer codeword to semipolarized bit-channels of the inner polar codes. Error rate simulation results are presented for 2 and 4 sub-blocks. Design issues affecting the trade-off between local and global decoding performance are also discussed.

Keywords

Cite

@article{arxiv.2301.02294,
  title  = {Polar Codes with Local-Global Decoding},
  author = {Ziyuan Zhu and Wei Wu and Paul H. Siegel},
  journal= {arXiv preprint arXiv:2301.02294},
  year   = {2023}
}

Comments

5 pages, 9 figures, invited paper in Session on Coding for 6G, 2022 Asilomar Conference on Signals, Systems, and Computers

R2 v1 2026-06-28T08:04:25.586Z