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2018 | OriginalPaper | Chapter

A Partially Repeated Scheme for Polar Codes

Author : Daolong Wu

Published in: Communications and Networking

Publisher: Springer International Publishing

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Abstract

Since the code length of a polar code is an exponent of 2 if the Arikan’s kernel is employed, it is hard to construct code that with flexible code length. In this paper, a partially repeated scheme for polar codes is proposed for constructing length flexible codes. And the Gaussian Approximation method is used to analyze the block error rate performance of the code. The simulation results verified the analysis.

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Literature
1.
go back to reference Arikan, E., Telatar, I.: On the rate of channel polarization. In: IEEE International Symposium on Information Theory, pp. 1493–1495. IEEE Press, Seoul (2009) Arikan, E., Telatar, I.: On the rate of channel polarization. In: IEEE International Symposium on Information Theory, pp. 1493–1495. IEEE Press, Seoul (2009)
2.
go back to reference Arikan, E.: Channel polarization: a method for constructing capacity achieving codes for symmetric binary-input memoryless channels. IEEE Trans. Inf. Theor. 55(7), 3051–3073 (2009)MathSciNetCrossRef Arikan, E.: Channel polarization: a method for constructing capacity achieving codes for symmetric binary-input memoryless channels. IEEE Trans. Inf. Theor. 55(7), 3051–3073 (2009)MathSciNetCrossRef
3.
go back to reference Mori, R., Tanaka, T.: Performance of polar codes with the construction using density evolution. IEEE Commun. Lett. 13(7), 519–521 (2009)CrossRef Mori, R., Tanaka, T.: Performance of polar codes with the construction using density evolution. IEEE Commun. Lett. 13(7), 519–521 (2009)CrossRef
4.
go back to reference Mori, R., Tanaka, T.: Performance and construction of polar codes on symmetric binary-input memoryless channels. In: IEEE International Symposium on Information Theory, pp. 1496–1500. IEEE Press, Seoul (2009) Mori, R., Tanaka, T.: Performance and construction of polar codes on symmetric binary-input memoryless channels. In: IEEE International Symposium on Information Theory, pp. 1496–1500. IEEE Press, Seoul (2009)
6.
go back to reference Wu, D., Li, Y., Sun, Y.: Construction and block error rate analysis of polar codes over AWGN channel based on gaussian approximation. IEEE Commun. Lett. 18(7), 1099–1102 (2014)CrossRef Wu, D., Li, Y., Sun, Y.: Construction and block error rate analysis of polar codes over AWGN channel based on gaussian approximation. IEEE Commun. Lett. 18(7), 1099–1102 (2014)CrossRef
Metadata
Title
A Partially Repeated Scheme for Polar Codes
Author
Daolong Wu
Copyright Year
2018
Publisher
Springer International Publishing
DOI
https://doi.org/10.1007/978-3-319-78130-3_32

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