Finite-length polarization measures for polar coded systems

In this paper, polarization performance of polar code generator matrices is analyzed. We obtain the Bhattacharyya parameters of polarized channels generated by all possible lower-triangular 3 × 3 generator matrices and evaluate the corresponding polarization behavior of polar coded systems via both...

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Bibliographic Details
Published in2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC) pp. 364 - 368
Main Authors Serbetci, B., Pusane, A. E.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2012
Subjects
Channel capacity
Channel coding
Generators
Measurement
Parity check codes
Symmetric matrices
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Summary:In this paper, polarization performance of polar code generator matrices is analyzed. We obtain the Bhattacharyya parameters of polarized channels generated by all possible lower-triangular 3 × 3 generator matrices and evaluate the corresponding polarization behavior of polar coded systems via both asymptotical polarization rate exponents and finite-length polarization distance graphs. A ranking of all lower-triangular 3 × 3 generator matrices is also provided.
ISBN:1467309702
9781467309707
ISSN:1948-3244
1948-3252
DOI:10.1109/SPAWC.2012.6292929