Abstract-In this paper, we present a method of constructing new families of LDPC block code ensembles formed by terminating irregular protograph-based LDPC convolutional codes. Using the accumulate-repeat-by-4-jagged-accumulate (AR4JA) protograph as an example, a density evolution analysis for the binary erasure channel shows that this flexible design technique gives rise to a large selection of LDPC block code ensembles with varying code rates and thresholds close to capacity. Further, by means of an asymptotic weight enumerator analysis, we show that all the ensembles in this family also have minimum distance that grows linearly with block length, i.e., they are asymptotically good.
In particular, spatial coupling of accumulate-repeat-by-4-jagged-accumulate (AR4JA) codes in REF which also show minimum distance growth linearly with the block length.
New Families of LDPC Block Codes Formed by Terminating Irregular Protograph-Based LDPC Convolutional Codes
2010 IEEE International Symposium on Information Theory
2010 IEEE International Symposium on Information Theory
Computer Science Mathematics