Title :
Finite-length polarization measures for polar coded systems
Author :
Serbetci, Berksan ; Pusane, Ali Emre
Author_Institution :
Dept. of Electr.-Electron. Eng., Bogazici Univ., Istanbul, Turkey
Abstract :
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.
Keywords :
channel coding; graph theory; matrix algebra; Bhattacharyya parameters; asymptotical polarization rate exponents; channel coding; finite-length polarization distance graphs; finite-length polarization measures; lower-triangular generator matrix ranking; polar code generator matrices; polar coded system; polarization behavior evaluation; polarization performance; polarized channels; Channel capacity; Channel coding; Generators; Measurement; Parity check codes; Symmetric matrices;
Conference_Titel :
Signal Processing Advances in Wireless Communications (SPAWC), 2012 IEEE 13th International Workshop on
Conference_Location :
Cesme
Print_ISBN :
978-1-4673-0970-7
DOI :
10.1109/SPAWC.2012.6292929
