---
_id: '9047'
abstract:
- lang: eng
  text: This work analyzes the latency of the simplified successive cancellation (SSC)
    decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang. It
    is shown that, unlike conventional successive cancellation decoding, where latency
    is linear in the block length, the latency of SSC decoding is sublinear. More
    specifically, the latency of SSC decoding is O(N1−1/μ) , where N is the block
    length and μ is the scaling exponent of the channel, which captures the speed
    of convergence of the rate to capacity. Numerical results demonstrate the tightness
    of the bound and show that most of the latency reduction arises from the parallel
    decoding of subcodes of rate 0 or 1.
acknowledgement: M. Mondelli was partially supported by grants NSF DMS-1613091, CCF-1714305,
  IIS-1741162, and ONR N00014-18-1-2729. S. A. Hashemi is supported by a Postdoctoral
  Fellowship from the Natural Sciences and Engineering Research Council of Canada
  (NSERC) and by Huawei. The authors would like to thank the anonymous reviewers for
  their comments that helped improving the quality of the manuscript.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Seyyed Ali
  full_name: Hashemi, Seyyed Ali
  last_name: Hashemi
- first_name: John M.
  full_name: Cioffi, John M.
  last_name: Cioffi
- first_name: Andrea
  full_name: Goldsmith, Andrea
  last_name: Goldsmith
citation:
  ama: Mondelli M, Hashemi SA, Cioffi JM, Goldsmith A. Sublinear latency for simplified
    successive cancellation decoding of polar codes. <i>IEEE Transactions on Wireless
    Communications</i>. 2021;20(1):18-27. doi:<a href="https://doi.org/10.1109/TWC.2020.3022922">10.1109/TWC.2020.3022922</a>
  apa: Mondelli, M., Hashemi, S. A., Cioffi, J. M., &#38; Goldsmith, A. (2021). Sublinear
    latency for simplified successive cancellation decoding of polar codes. <i>IEEE
    Transactions on Wireless Communications</i>. IEEE. <a href="https://doi.org/10.1109/TWC.2020.3022922">https://doi.org/10.1109/TWC.2020.3022922</a>
  chicago: Mondelli, Marco, Seyyed Ali Hashemi, John M. Cioffi, and Andrea Goldsmith.
    “Sublinear Latency for Simplified Successive Cancellation Decoding of Polar Codes.”
    <i>IEEE Transactions on Wireless Communications</i>. IEEE, 2021. <a href="https://doi.org/10.1109/TWC.2020.3022922">https://doi.org/10.1109/TWC.2020.3022922</a>.
  ieee: M. Mondelli, S. A. Hashemi, J. M. Cioffi, and A. Goldsmith, “Sublinear latency
    for simplified successive cancellation decoding of polar codes,” <i>IEEE Transactions
    on Wireless Communications</i>, vol. 20, no. 1. IEEE, pp. 18–27, 2021.
  ista: Mondelli M, Hashemi SA, Cioffi JM, Goldsmith A. 2021. Sublinear latency for
    simplified successive cancellation decoding of polar codes. IEEE Transactions
    on Wireless Communications. 20(1), 18–27.
  mla: Mondelli, Marco, et al. “Sublinear Latency for Simplified Successive Cancellation
    Decoding of Polar Codes.” <i>IEEE Transactions on Wireless Communications</i>,
    vol. 20, no. 1, IEEE, 2021, pp. 18–27, doi:<a href="https://doi.org/10.1109/TWC.2020.3022922">10.1109/TWC.2020.3022922</a>.
  short: M. Mondelli, S.A. Hashemi, J.M. Cioffi, A. Goldsmith, IEEE Transactions on
    Wireless Communications 20 (2021) 18–27.
date_created: 2021-01-31T23:01:21Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-08-07T13:36:25Z
day: '01'
department:
- _id: MaMo
doi: 10.1109/TWC.2020.3022922
external_id:
  arxiv:
  - '1909.04892'
  isi:
  - '000607808800002'
intvolume: '        20'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1909.04892
month: '01'
oa: 1
oa_version: Preprint
page: 18-27
publication: IEEE Transactions on Wireless Communications
publication_identifier:
  eissn:
  - '15582248'
  issn:
  - '15361276'
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
  record:
  - id: '8536'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Sublinear latency for simplified successive cancellation decoding of polar
  codes
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 20
year: '2021'
...