Title :
Analysis of balanced cycles of QC-LDPC codes
Author :
Xiao, Gao ; Nan, Zhang
Author_Institution :
Wuhan Maritime Commun. Res. Inst., Wuhan, China
Abstract :
In this paper, we analyze balanced cycles of quasi-cyclic low-density parity-check (QC-LDPC) codes. We show the structure of balanced cycles and their necessary and sufficient existence conditions. Furthermore, we determine the minimal matrices of balanced cycle. Meanwhile we propose the property of B-girth in its mother matrix. Finally, we give the proof in theory.
Keywords :
cyclic codes; matrix algebra; parity check codes; B-girth; QC-LDPC codes; balanced cycles; minimal matrices; mother matrix; quasi-cyclic low-density parity-check codes; Arrays; Linear matrix inequalities; Parity check codes; Shipbuilding industry; Sufficient conditions; Turbo codes; Girth; balanced cycles; quasi-cyclic low-density parity-check (QC-LDPC) codes;
Conference_Titel :
Wireless and Optical Communications Networks (WOCN), 2011 Eighth International Conference on
Conference_Location :
Paris
Print_ISBN :
978-1-4577-0262-4
DOI :
10.1109/WOCN.2011.5872931
