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Convolutional Polar Codes: LLR-based Successive Cancellation Decoder and List Decoding Performance

Published: 17 June 2018 Publication History

Abstract

Recently convolutional polar (cpolar) codes have been proposed. A tensor-network-based successive cancellation (SC) decoding was proposed for them under which cpolar codes were shown to outperform polar codes. In this paper we present the notion of m-bit-channels for cpolar codes and give the recursive construction of m-bit-channels for <tex>$m=3$</tex>. Then a log likelihood ratio(LLR)-based SC decoding of complexity order <tex>$\mathcal{O}(Nlog(N))$</tex> for cpolar codes is presented. We also present the numerical results for performance evaluation of cpolar codes under SC list (SCL) decoding. Our simulation results show that cpolar codes can achieve the performance of polar codes with a list size reduced by a factor of 4.

References

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E. Arikan, “Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels,”, IEEE Trans. Inf. Theory, vol. 55, no. 7, pp. 3051–3073, Jun. 2009.
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R. Mori and T. Tanaka, “Performance of polar codes with the construction using density evolution” IEEE Commun. Lett., vol. 13, no. 7, pp. 519521. Jul. 2009.
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I. Tal and A. Vardy, “How to construct polar codes,” IEEE Trans. Inf. Theoy. vol. 59, no. 10, nn. 6562–6582 Oct. 2013.
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K. Niu and K. Chen, “CRC-aided decoding of polar codes,” IEEE Commun. Lett., vol. 16, pp. 1668–1671, Oct. 2012.
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S. B. Korada, E. Sasoglu and R. Urbanke, “Polar codes: Characterization of exponent, bounds, and constructions,” IEEE Trans. Inf. Theory, vol. 56, no. 12, pp. 6253–6264, Dec. 2010.
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A. J. Ferrus, C. Hirche and D. Poulin, “Convolutional polar codes”, arXiv:.

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cover image Guide Proceedings
2018 IEEE International Symposium on Information Theory (ISIT)
Jun 2018
2686 pages

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IEEE Press

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Published: 17 June 2018

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