Title :
Average Coset Weight Distribution of Combined LDPC Matrix Ensembles
Author :
Wadayama, Tadashi
Author_Institution :
Nagoya Inst. of Technol.
Abstract :
In this paper, the average coset weight distribution (ACWD) of structured ensembles of low-density parity-check (LDPC) matrices, which are called combined ensembles, is discussed. A combined ensemble is composed of a set of simpler ensembles such as a regular bipartite ensemble. Two classes of combined ensembles have prime importance; a stacked ensemble and a concatenated ensemble. The ACWD formulas of these ensembles are shown in this paper. Such formulas play a key role to evaluate the average weight distribution of some classes of combined ensembles
Keywords :
concatenated codes; matrix algebra; parity check codes; ACWD; LDPC; average coset weight distribution; combined ensemble; concatenated ensemble; low-density parity-check matrix; stacked ensemble; structured ensemble; Concatenated codes; Decoding; Information theory; Joining materials; Parity check codes; Average coset weight distribution (ACWD); ensemble analysis; low-density parity check (LDPC) code; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.883619
