[1] Zhang Jianqiang, Zhai Yanwang, Fu Shiyao, et al. Transmission analysis of radially polarized vector beams under atmospheric turbulence[J]. Acta Optica Sinica, 40, 1101001(2020).

[2] Li Xiaoyan, Zhang Peng, Tong Shoufeng. Bit error rate performance analysis of inverse modulation free space optical communication system based on adaptive decision threshold under the influence of atmospheric turbulence[J]. Chinese Journal of Lasers, 45, 0606001(2018).

[3] Wang Huiqin, Li Yating, Cao Minghua, et al. Layered optical spatial modulation in turbulent channel[J]. Acta Optica Sinica, 39, 0706001(2019).

[4] Liu Minwen, Li Yingchun. Transmission of OFDM-OAM optical signal in atmospheric turbulence[J]. Acta Optica Sinica, 39, 0706002(2019).

[5] Cao Minghua, Wu Xin, Wang Huiqin, et al. Performance of super-Nyquist communication system under Gamma-Gamma atmospheric turbulence[J]. Chinese Journal of Lasers, 47, 0906003(2020).

[6] Arikan E. Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels[J]. IEEE Transactions on Information Theory, 55, 3051-3073(2009).

[7] Tal A, Vardy A. List decoding of polar codes[J]. IEEE Transactions on Information Theory, 61, 2213-2226(2015).

[8] Yuan B, Parhi K K. Early stopping criteria for energy-efficient low-latency belief-propagation polar code decoders[J]. IEEE Transactions on Signal Processing, 62, 6496-6506(2014).

[9] [9] Peng S, Zhao Z, Bao J. Differential decoding of lowdensity paritycheck codes based on min sum algithm [C]Third International Symposium on Infmation Science & Engineering. IEEE Computer Society, 2010: 562566.

[10] Gao N, Xu Y, He D, et al. Min-sum algorithm using multi-edge-type normalized scheme for ATSC 3.0 LDPC decoders[J]. IEEE Transactions on Broadcasting, 66, 729-736(2020).

[11] Myung S, Park S I, Kim K J, et al. Offset and normalized min-sum algorithms for ATSC 3.0 LDPC decoder[J]. IEEE Transactions on Broadcasting, 63, 734-739(2017).

[12] Chen J, Dholakia A, Eleftheriou E, et al. Reduced complexity decoding of LDPC codes[J]. IEEE Transactions on Communications, 53, 1288-1299(2005).

[13] Nachmani E, Marciano E, Lugosch L, et al. Deep learning methods for improved decoding of linear codes[J]. IEEE Journal of Selected Topics in Signal Processing, 12, 119-131(2018).

[14] [14] Cammerer S, Gruber T, Hoydis J, et al. Scaling deep learningbased decoding of polar codes via partitioning [C]GLOBECOM 20172017 IEEE Global Communications Conference. IEEE, 2017: 16.

[15] [15] Jian Y, Liu R. Decoding of polar code by machine learning [C]2019 IEEE International Symposium on Broadb Multimedia Systems Broadcasting (BMSB). IEEE, 2019: 14.

[16] Gao J, Niu K, Dong C. Learning to decode polar codes with one-bit quantizer[J]. IEEE Access, 8, 27210-27217(2020).

[17] Cao Yang, Zhang Xun, Peng Xiaofeng, et al. Research on cascaded code scheme based on multiple input and multiple output in space optical communication[J]. Acta Optica Sinica, 38, 0106003(2018).

[18] Cao Yang, Li Yue, Li Xiaohong. Research on the construction method of polarization codes in wireless optical communication[J]. Acta Optica Sinica, 40, 2106003(2020).

[19] [19] Cammerer S, Ebada M, Elkelesh A, et al. Sparse graphs f belief propagation decoding of polar codes [C]2018 IEEE International Symposium on Infmation They (ISIT). IEEE, 2018: 14651469.

[20] Chen J, Fossorier M P C. Density evolution for two improved BP-Based decoding algorithms of LDPC codes[J]. IEEE Commun Letters, 6, 208-210(2002).

[21] Zhang Xiaojun, Li Na, Dong Yanfei, et al. Low-complexity early stopping criterion for the confidence propagation algorithm of polar code[J]. Journal of Electronics & Information Technology, 43, 77-84(2021).