Title :
Distance distributions in ensembles of irregular low-density parity-check codes
Author :
Litsyn, Simon ; Shevelev, Vladimir
Author_Institution :
Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Ramat-Aviv, Israel
Abstract :
We derive asymptotic expressions for the average distance distributions in ensembles of irregular low-density parity-check (LDPC) codes. The ensembles are defined by matrices with given profiles of column and row sums.
Keywords :
matrix algebra; maximum likelihood decoding; optimisation; parity check codes; asymptotic expressions; average distance distributions; irregular LDPC codes; low-density parity-check codes; matrix algebra; parameter optimization; Absorption; Helium; Iterative decoding; Mathematics; Maximum likelihood decoding; Maximum likelihood estimation; Parity check codes; Performance analysis; Shape; Strips;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.820012
