%0 Electronic Article
%A Arim Lee
%A Wangrok Oh
%K carrier phase offsets
%K nonnegative integer powers
%K Hamming weights
%K M-ary phase shift keying
%K conventional polar code
%K NDA CPR
%K decoding complexities
%K perfect CPR
%K received symbols
%K polar code
%K rotationally invariant polar code
%K Kronecker product
%K encoding complexities
%K generator matrix
%K fold phase ambiguity
%K digital communication systems
%K binary phase shift keying
%K simple CPR algorithms
%K nearest constellation point
%K triangular matrix
%K nondata-aided carrier phase recovery
%X 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.
%@ 0013-5194
%T 180° rotationally invariant polar code
%B Electronics Letters
%D January 2019
%V 55
%N 1
%P 26-28
%I Institution of Engineering and Technology
%U https://digital-library.theiet.org/;jsessionid=3bfojcr0tba02.x-iet-live-01content/journals/10.1049/el.2018.6303
%G EN