@ARTICLE{
iet:/content/journals/10.1049/el.2018.6303,
author = {Arim Lee},
author = {Wangrok Oh},
keywords = {carrier phase offsets;nonnegative integer powers;Hamming weights;M-ary phase shift keying;conventional polar code;NDA CPR;decoding complexities;perfect CPR;received symbols;polar code;rotationally invariant polar code;Kronecker product;encoding complexities;generator matrix;fold phase ambiguity;digital communication systems;binary phase shift keying;simple CPR algorithms;nearest constellation point;triangular matrix;nondata-aided carrier phase recovery;},
ISSN = {0013-5194},
language = {English},
abstract = {Non-data-aided (NDA) carrier phase recovery (CPR) is one of simple CPR algorithms which simply rotates received symbols to the nearest constellation point. Unfortunately, when the NDA CPR is used with M-ary phase shift keying, it suffers inherent M-fold phase ambiguity and thus the phase ambiguity must be resolved. On the other hand, the generator matrix of polar code G can be obtained with the Kronecker product of a 2 × 2 lower triangular matrix. Hence, the Hamming weights of all columns of G are given by non-negative integer powers of 2. Based on this observation, an 180 ° rotationally invariant polar code suitable for digital communication systems employing binary phase shift keying and NDA CPR is proposed. The proposed polar code offers virtually identical performance under both 0 ° and 180 ° carrier phase offsets to that of conventional polar code with perfect CPR with identical encoding and decoding complexities.},
title = {180° rotationally invariant polar code},
journal = {Electronics Letters},
issue = {1},
volume = {55},
year = {2019},
month = {January},
pages = {26-28(2)},
publisher ={Institution of Engineering and Technology},
copyright = {© The Institution of Engineering and Technology},
url = {https://digital-library.theiet.org/;jsessionid=2b68vgar874fn.x-iet-live-01content/journals/10.1049/el.2018.6303}
}