Successive syndrome-check decoding of polar codes
Hashemi SA, Mondelli M, Cioffi J, Goldsmith A. 2021. Successive syndrome-check decoding of polar codes. Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers. ACSSC: Asilomar Conference on Signals, Systems, and Computers vol. 2021–October, 943–947.
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Author
Hashemi, Seyyed Ali;
Mondelli, MarcoISTA 
;
Cioffi, John;
Goldsmith, Andrea
;
Cioffi, John;
Goldsmith, AndreaDepartment
Abstract
A two-part successive syndrome-check decoding of polar codes is proposed with the first part successively refining the received codeword and the second part checking its syndrome. A new formulation of the successive-cancellation (SC) decoding algorithm is presented that allows for successively refining the received codeword by comparing the log-likelihood ratio value of a frozen bit with its predefined value. The syndrome of the refined received codeword is then checked for possible errors. In case there are no errors, the decoding process is terminated. Otherwise, the decoder continues to refine the received codeword. The proposed method is extended to the case of SC list (SCL) decoding by terminating the decoding process when the syndrome of the best candidate in the list indicates no errors. Simulation results show that the proposed method reduces the time-complexity of SC and SCL decoders and their fast variants, especially at high signal-to-noise ratios.
Publishing Year
Date Published
2021-11-01
Proceedings Title
Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers
Publisher
Institute of Electrical and Electronics Engineers
Acknowledgement
This work is supported in part by ONR grant N00014-18-1-2191. S. A. Hashemi was supported by a Postdoctoral Fellowship from the Natural Sciences and Engineering Research Council of Canada (NSERC) and by Huawei. M. Mondelli was partially supported by the 2019 Lopez-Loreta Prize.
Volume
2021-October
Page
943-947
Conference
ACSSC: Asilomar Conference on Signals, Systems, and Computers
Conference Location
Virtual, Pacific Grove, CA, United States
Conference Date
2021-10-31 – 2021-11-03
ISBN
ISSN
IST-REx-ID
Cite this
Hashemi SA, Mondelli M, Cioffi J, Goldsmith A. Successive syndrome-check decoding of polar codes. In: Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers. Vol 2021-October. Institute of Electrical and Electronics Engineers; 2021:943-947. doi:10.1109/IEEECONF53345.2021.9723394
Hashemi, S. A., Mondelli, M., Cioffi, J., & Goldsmith, A. (2021). Successive syndrome-check decoding of polar codes. In Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers (Vol. 2021–October, pp. 943–947). Virtual, Pacific Grove, CA, United States: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/IEEECONF53345.2021.9723394
Hashemi, Seyyed Ali, Marco Mondelli, John Cioffi, and Andrea Goldsmith. “Successive Syndrome-Check Decoding of Polar Codes.” In Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers, 2021–October:943–47. Institute of Electrical and Electronics Engineers, 2021. https://doi.org/10.1109/IEEECONF53345.2021.9723394.
S. A. Hashemi, M. Mondelli, J. Cioffi, and A. Goldsmith, “Successive syndrome-check decoding of polar codes,” in Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers, Virtual, Pacific Grove, CA, United States, 2021, vol. 2021–October, pp. 943–947.
Hashemi SA, Mondelli M, Cioffi J, Goldsmith A. 2021. Successive syndrome-check decoding of polar codes. Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers. ACSSC: Asilomar Conference on Signals, Systems, and Computers vol. 2021–October, 943–947.
Hashemi, Seyyed Ali, et al. “Successive Syndrome-Check Decoding of Polar Codes.” Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers, vol. 2021–October, Institute of Electrical and Electronics Engineers, 2021, pp. 943–47, doi:10.1109/IEEECONF53345.2021.9723394.
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