Title: Single frozen bit polar code synchronisation

Authors: Janak Sodha

Addresses: Department of Computer Science, Mathematics and Physics, University of the West Indies, Bridgetown, BB11000, Barbados

Abstract: A low complexity code synchronisation algorithm is proposed which accurately establishes the code synchronisation state for a polar code decoder using the belief value on a single frozen bit. The algorithm complexity is independent of the size of the polar code. To illustrate the performance of this algorithm, the theoretical and simulation results are presented for a (8, 4) and (16, 10) polar codes using binary phase shift keying (BPSK) over an additive white gaussian noise (AWGN) channel. The theoretical analysis overlays the simulation results accurately. For the (16, 10) polar code, the probability of a false-alarm can be controlled to range from 10^-11 at 0 dB to 10^-48 at 6 dB with the time to announce a loss of synchronisation that is independent of the channel SNR. This time can be limited to a near pre-selected number of frames if there is an early loss of synchronisation.

Keywords: polar codes; code synchronisation; frame synchronisation; BPSK; binary phase shift keying; AWGN; additive white gaussian noise.

DOI: 10.1504/IJMNDI.2021.118988

International Journal of Mobile Network Design and Innovation, 2021 Vol.10 No.2, pp.90 - 94

Received: 20 May 2021
Accepted: 20 May 2021
Published online: 16 Nov 2021 *

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