Mapping Selection and Code Construction for 2^m-ary Polar-Coded Modulation

Author

Shin, Dong-Min ; Lim, Seung-Chan ; Yang, Kyeongcheol

Author_Institution

Dept. of Electr. Eng., Pohang Univ. of Sci. & Technol. (POSTECH), Pohang, South Korea

Volume

16

Issue

6

fYear

2012

fDate

6/1/2012 12:00:00 AM

Firstpage

905

Lastpage

908

Abstract

This paper proposes a mapping strategy and a code construction method for 2^m-ary polar-coded modulation. In order to find a good mapping for a polar code in an efficient way, we reduce a search space for mapping patterns by exploiting the properties of its polarizing matrix. Once a mapping is selected, the set of unfrozen information bits to define a polar code is automatically determined. Numerical results show that our approach can provide a performance gain of about 0.3-0.5 dB over a conventional approach using random mapping and the polar code optimized for binary phase-shift keying (BPSK) modulation, when pulse-amplitude modulation (PAM) with Gray labelling is employed.

Keywords

matrix algebra; modulation coding; phase shift keying; pulse amplitude modulation; 2^m-ary polar-coded modulation; BPSK modulation; PAM; binary phase-shift keying modulation; code construction method; gray labelling; mapping patterns; mapping selection; mapping strategy; polarizing matrix; pulse-amplitude modulation; random mapping; search space; unfrozen information bits; Binary phase shift keying; Bit error rate; Decoding; Labeling; Performance gain; Reliability; Polar codes; density evolution; frozen bit; pulse-amplitude modulation (PAM);

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2012.040912.120070

Filename

6185517