{"abstract":[{"lang":"eng","text":"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."}],"main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2112.00057"}],"department":[{"_id":"MaMo"}],"publication_status":"published","date_published":"2021-11-01T00:00:00Z","date_updated":"2024-09-10T13:03:17Z","month":"11","article_processing_charge":"No","day":"01","type":"conference","status":"public","quality_controlled":"1","title":"Successive syndrome-check decoding of polar codes","scopus_import":"1","publisher":"Institute of Electrical and Electronics Engineers","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2022-01-03T11:39:51Z","oa":1,"oa_version":"Preprint","language":[{"iso":"eng"}],"_id":"10599","conference":{"location":"Virtual, Pacific Grove, CA, United States","end_date":"2021-11-03","start_date":"2021-10-31","name":"ACSSC: Asilomar Conference on Signals, Systems, and Computers"},"citation":{"chicago":"Hashemi, Seyyed Ali, Marco Mondelli, John Cioffi, and Andrea Goldsmith. “Successive Syndrome-Check Decoding of Polar Codes.” In <i>Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers</i>, 2021–October:943–47. Institute of Electrical and Electronics Engineers, 2021. <a href=\"https://doi.org/10.1109/IEEECONF53345.2021.9723394\">https://doi.org/10.1109/IEEECONF53345.2021.9723394</a>.","apa":"Hashemi, S. A., Mondelli, M., Cioffi, J., &#38; Goldsmith, A. (2021). Successive syndrome-check decoding of polar codes. In <i>Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers</i> (Vol. 2021–October, pp. 943–947). Virtual, Pacific Grove, CA, United States: Institute of Electrical and Electronics Engineers. <a href=\"https://doi.org/10.1109/IEEECONF53345.2021.9723394\">https://doi.org/10.1109/IEEECONF53345.2021.9723394</a>","ista":"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.","ama":"Hashemi SA, Mondelli M, Cioffi J, Goldsmith A. Successive syndrome-check decoding of polar codes. In: <i>Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers</i>. Vol 2021-October. Institute of Electrical and Electronics Engineers; 2021:943-947. doi:<a href=\"https://doi.org/10.1109/IEEECONF53345.2021.9723394\">10.1109/IEEECONF53345.2021.9723394</a>","short":"S.A. Hashemi, M. Mondelli, J. Cioffi, A. Goldsmith, in:, Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers, Institute of Electrical and Electronics Engineers, 2021, pp. 943–947.","mla":"Hashemi, Seyyed Ali, et al. “Successive Syndrome-Check Decoding of Polar Codes.” <i>Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers</i>, vol. 2021–October, Institute of Electrical and Electronics Engineers, 2021, pp. 943–47, doi:<a href=\"https://doi.org/10.1109/IEEECONF53345.2021.9723394\">10.1109/IEEECONF53345.2021.9723394</a>.","ieee":"S. A. Hashemi, M. Mondelli, J. Cioffi, and A. Goldsmith, “Successive syndrome-check decoding of polar codes,” in <i>Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers</i>, Virtual, Pacific Grove, CA, United States, 2021, vol. 2021–October, pp. 943–947."},"publication_identifier":{"isbn":["9781665458283"],"issn":["1058-6393"]},"external_id":{"arxiv":["2112.00057"]},"page":"943-947","doi":"10.1109/IEEECONF53345.2021.9723394","publication":"Proceedings of the 55th Asilomar Conference on Signals, Systems, and Computers","author":[{"full_name":"Hashemi, Seyyed Ali","first_name":"Seyyed Ali","last_name":"Hashemi"},{"orcid":"0000-0002-3242-7020","full_name":"Mondelli, Marco","id":"27EB676C-8706-11E9-9510-7717E6697425","first_name":"Marco","last_name":"Mondelli"},{"last_name":"Cioffi","first_name":"John","full_name":"Cioffi, John"},{"last_name":"Goldsmith","first_name":"Andrea","full_name":"Goldsmith, Andrea"}],"project":[{"_id":"059876FA-7A3F-11EA-A408-12923DDC885E","name":"Prix Lopez-Loretta 2019 - Marco Mondelli"}],"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.","year":"2021","volume":"2021-October"}