Density devolution for ordering synthetic channels

HP Wang, CW Chin - 2023 IEEE International Symposium on …, 2023 - ieeexplore.ieee.org
Constructing a polar code is all about selecting a subset of rows from a Kronecker power of
\left. It is known that, under successive cancellation decoder, some rows are Paretobetter …

Fast Methods for Ranking Synthetic BECs

HP Wang, VF Drăgoi - 2023 IEEE International Symposium on …, 2023 - ieeexplore.ieee.org
Fast Methods for Ranking Synthetic BECs Page 1 Fast Methods for Ranking Synthetic BECs
Hsin-Po Wang University of California, Berkeley, CA, USA simple@berkeley.edu Vlad-Florin …

New Partial Orders of Polar Codes for BMSC

L Yao, Z Liu, Y Li, H Zhang, J Wang… - … on Information Theory …, 2024 - ieeexplore.ieee.org
In this paper, we define partial orders (POs) of polar codes based on the Bhattacharyya
parameter and the bit-error probability, respectively. These POs are applicable to arbitrary …

Partial Orders in Rate-Matched Polar Codes

Z Liu, L Yao, Y Li, H Zhang, J Wang, G Yan… - arxiv preprint arxiv …, 2024 - arxiv.org
In this paper, we establish the partial order (POs) for both the binary erasure channel (BEC)
and the binary memoryless symmetric channel (BMSC) under any block rate-matched polar …