Polar coded repetition for low-capacity channels

Fariba Abbasi, Hessam Mahdavifar, Emanuele Viterbo

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5 Citations (Scopus)


Constructing efficient low-rate error-correcting codes with low-complexity encoding and decoding have become increasingly important for applications involving ultra-low-power devices such as Internet-of-Things (IoT) networks. To this end, schemes based on concatenating the state-of-the-art codes at moderate rates with repetition codes have emerged as practical solutions deployed in various standards. In this paper, we propose a novel mechanism for concatenating outer polar codes with inner repetition codes which we refer to as polar coded repetition. More specifically, we propose to transmit a slightly modified polar codeword by deviating from Arıkan’s standard 2 × 2 Kernel in a certain number of polarization recursions at each repetition block. We show how this modification can improve the asymptotic achievable rate of the polar-repetition scheme, while ensuring that the overall encoding and decoding complexity is kept almost the same. The achievable rate is analyzed for the binary erasure channels (BEC).

Original languageEnglish
Title of host publication2020 IEEE Information Theory Workshop, ITW 2020
EditorsLuca Barletta
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages5
ISBN (Electronic)9781728159621
ISBN (Print)9781728159638
Publication statusPublished - 2021
EventInformation Theory Workshop 2020 - Virtual, Riva del Garda, Italy
Duration: 11 Apr 202115 Apr 2021
https://ieeexplore.ieee.org/xpl/conhome/9457568/proceeding (Proceedings)
https://itw2020.it/home (Website)


ConferenceInformation Theory Workshop 2020
Abbreviated titleITW 2020
CityVirtual, Riva del Garda
Internet address

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