Research Article
On Codeword Bits Disparity in Polar Codes
@INPROCEEDINGS{10.1007/978-3-030-93398-2_36, author={Chen Cui and Wei Xiang and Zhenyong Wang and Qing Guo}, title={On Codeword Bits Disparity in Polar Codes}, proceedings={Wireless and Satellite Systems. 12th EAI International Conference, WiSATS 2021, Virtual Event, China, July 31 -- August 2, 2021, Proceedings}, proceedings_a={WISATS}, year={2022}, month={1}, keywords={Polar codes Significance disparity Codeword bits SC decoding}, doi={10.1007/978-3-030-93398-2_36} }- Chen Cui
Wei Xiang
Zhenyong Wang
Qing Guo
Year: 2022
On Codeword Bits Disparity in Polar Codes
WISATS
Springer
DOI: 10.1007/978-3-030-93398-2_36
Abstract
Polar codes, the codes contributed based on channel polarization, are the first class of error-correction codes which can be proved to achieve the channel capacity of binary-input discrete memoryless channels. A set of bit-channels are generated after the channel combining and channel splitting operations. These bit-channels have different capacities. The idea of polar coding is to transmit information bits through bit-channels with higher capacities, while transmitting frozen bits through the ones with lower capacities. The generator matrix of polar codes is invertible. The input bits can also be represented as the codeword bits multiplied by the generator matrix. Based on these observations, we make an assumption that there are significance disparities existing in the codeword bits of polar codes and the significance level of codeword bits are relevant to their bit indices. To analyze the significance level of codeword bits, the codeword bits are transmitted over non-uniform channels. Some of the codeword bits are transmitted through pure noisy channels, which can be equalized as punctured bits. Simulation results show that there exist significance disparities in the codeword bits.
