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GLOBECOM
2007
IEEE

Ensemble Enumerators for Protograph-Based Generalized LDPC Codes

13 years 10 months ago
Ensemble Enumerators for Protograph-Based Generalized LDPC Codes
— Protograph-based LDPC codes have the advantages of a simple design (or search) procedure and highly structured encoders and decoders. These advantages have also been exploited in the design of protograph-based generalized LDPC (G-LDPC) codes. Recently, a technique for computing ensemble weight enumerators and stopping set enumerators for protograph-based LDPC codes has been published. In the current paper, we extend those results to protograph-based G-LDPC codes. That is, we first derive ensemble weight and stopping set enumerators for finite-length G-LDPC codes based on protographs, and then we consider the asymptotic case. In the weight enumerator case, the asymptotic results allow us to determine whether or not the typical minimum distance in the ensemble grows linearly with codeword length. In the stopping set enumerator case, the asymptotic results allows us to determine whether or not the typical smallest stopping set size grows linearly with codeword length.
Shadi Abu-Surra, William E. Ryan, Dariush Divsalar
Added 02 Jun 2010
Updated 02 Jun 2010
Type Conference
Year 2007
Where GLOBECOM
Authors Shadi Abu-Surra, William E. Ryan, Dariush Divsalar
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