Modified Polar Codes Suitable for BPSK with Non-Data-Aided Carrier Phase Recovery 


Vol. 43,  No. 1, pp. 1-6, Jan.  2018
10.7840/kics.2018.43.1.1


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  Abstract

In this paper, we propose a 180° rotationally invariant polar code suitable for digital communication systems employing binary phase-shift keying and non-data-aided carrier phase recovery. Generator matrix of polar code can be constructed by kronecker power product of a lower triangular square matrix and thus, every columns of the generator matrix has a power of 2 number of 1’s except for the last column. Also, the inverse of the generator matrix is same to the generator matrix. Hence, every information bits except for the last one can be represented as an XOR of even number of coded bits. Based on this observation, we propose a 180° rotationally invariant polar code. The proposed polar code not only offers identical performance to that of conventional polar code with perfect carrier phase recovery under both 0° and 180° carrier phase offsets but also requires identical encoding and decoding complexities to those of the conventional polar code.

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  Cite this article

[IEEE Style]

A. Lee, D. Kang, W. Oh, "Modified Polar Codes Suitable for BPSK with Non-Data-Aided Carrier Phase Recovery," The Journal of Korean Institute of Communications and Information Sciences, vol. 43, no. 1, pp. 1-6, 2018. DOI: 10.7840/kics.2018.43.1.1.

[ACM Style]

Arim Lee, Donghoon Kang, and Wangrok Oh. 2018. Modified Polar Codes Suitable for BPSK with Non-Data-Aided Carrier Phase Recovery. The Journal of Korean Institute of Communications and Information Sciences, 43, 1, (2018), 1-6. DOI: 10.7840/kics.2018.43.1.1.

[KICS Style]

Arim Lee, Donghoon Kang, Wangrok Oh, "Modified Polar Codes Suitable for BPSK with Non-Data-Aided Carrier Phase Recovery," The Journal of Korean Institute of Communications and Information Sciences, vol. 43, no. 1, pp. 1-6, 1. 2018. (https://doi.org/10.7840/kics.2018.43.1.1)

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pISSN : 1226 - 4717
eISSN : 2287 - 3880